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149-412: A simultaneous , zero-sum game , it has three possible outcomes: a draw, a win, or a loss. A player who decides to play rock will beat another player who chooses scissors ("rock crushes scissors" or "breaks scissors" or sometimes "blunts scissors"), but will lose to one who has played paper ("paper covers rock"); a play of paper will lose to a play of scissors ("scissors cuts paper"). If both players choose

298-501: A game of chance and had no particular strategy for the game, but went with "paper". Christie's won the match and sold the $ 20 million collection, earning millions of dollars of commission for the auction house. Prior to a 26 October 2018 match in the FA Women's Super League , the referee, upon being without a coin for the pregame coin toss , had the team captains play rock paper scissors to determine which team would kick-off . The referee

447-628: A limited engagement at Mayi involving the assassination of the Chanyu would throw the Xiongnu realm into chaos and benefit the Han. When this plot failed in 133 BC, Emperor Wu launched a series of massive military invasions into Xiongnu territory. The assault culminated in 119 BC at the Battle of Mobei , when Han commanders Huo Qubing ( d.  117 BC ) and Wei Qing ( d.  106 BC ) forced

596-595: A Greek sailor had visited. Emperor Zhang 's ( r.  75–88 AD ) reign came to be viewed by later Eastern Han scholars as the high point of the dynastic house. Subsequent reigns were increasingly marked by eunuch intervention in court politics and their involvement in the violent power struggles of the imperial consort clans . In 92 AD, with the aid of the eunuch Zheng Zhong ( d.  107 AD ), Emperor He ( r.  88–105 AD ) had Empress Dowager Dou ( d.  97 AD ) put under house arrest and her clan stripped of power. This

745-457: A change which debased the value of coinage. Although these reforms provoked considerable opposition, Wang's regime met its ultimate downfall with the massive floods of c.  3  AD and 11 AD. Gradual silt build-up in the Yellow River had raised its water level and overwhelmed the flood control works . The Yellow River split into two new branches: one emptying to the north and

894-443: A circle and all throw at once. If rock, paper, and scissors are all thrown, it is a stalemate, and they rethrow. If only two throws are present, all players with the losing throw are eliminated. Play continues until only the winner remains. In Indonesia, the game is called suten , suit or just sut , and the three signs are elephant (slightly raised thumb), human (outstreched index finger) and ant (outstreched pinky finger). Elephant

1043-483: A clear dominant strategy of betrayal where the only strong Nash Equilibrium is for both prisoners to confess. This is because we assume both prisoners to be rational and possessing no loyalty towards one another. Therefore, betrayal provides a greater reward for a majority of the potential outcomes. If B cooperates, A should choose betrayal, as serving 3 months is better than serving 1 year. Moreover, if B chooses betrayal, then A should also choose betrayal as serving 2 years

1192-445: A coalition of former officials and officers against Dong, who burned Luoyang to the ground and resettled the court at Chang'an in May 191 AD. Dong Zhuo later poisoned Emperor Shao. Dong was killed by his adopted son Lü Bu ( d.  198 AD ) in a plot hatched by Wang Yun ( d.  192 AD ). Emperor Xian fled from Chang'an in 195 AD to the ruins of Luoyang. Xian

1341-424: A column at the exact same time. Traditionally, within a cell, the first entry is the payoff of the row player, the second entry is the payoff of the column player. The “cell” that is chosen is the outcome of the game. To determine which "cell" is chosen, the payoffs for both the row player and the column player must be compared respectively. Each player is best off where their payoff is higher. Rock–paper–scissors ,

1490-425: A common method of settling disputes between children in its article on Japan; the name was given as "John Kem Po" and the article pointedly asserted, "This is such a good way of deciding an argument that American boys and girls might like to practice it too." It is impossible to gain an advantage over an opponent that chooses their move uniformly at random . However, it is possible to gain a significant advantage over

1639-549: A consequence of rock paper scissors programming contests, many strong algorithms have emerged. For example, Iocaine Powder, which won the First International RoShamBo Programming Competition in 1999, uses a heuristically designed compilation of strategies. For each strategy it employs, it also has six metastrategies which defeat second-guessing, triple-guessing, as well as second-guessing the opponent, and so on. The optimal strategy or metastrategy

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1788-416: A coup against the eunuchs Hou Lan ( d.  172 AD ), Cao Jie ( d.  181 AD ), and Wang Fu ( 王甫 ). When the plot was uncovered, the eunuchs arrested Empress Dowager Dou ( d.  172 AD ) and Chen Fan. General Zhang Huan ( 張奐 ) favoured the eunuchs. He and his troops confronted Dou Wu and his retainers at the palace gate where each side shouted accusations of treason against

1937-447: A deal where they can choose to cooperate with one another by remaining silent, or they can choose betrayal, meaning they testify against their partner and receive a reduced sentence. It should be mentioned that the prisoners cannot communicate with one another. Therefore, resulting in the following payoff matrix: (C ooperation ) (Betrayal) (C ooperation ) Prisoner B: 3 Months (Betrayal) Prisoner B: 3 Years This game results in

2086-597: A decision. Hashiyama told the two firms to play rock paper scissors to decide who would get the rights to the auction, explaining that "it probably looks strange to others, but I believe this is the best way to decide between two things which are equally good." The auction houses had a weekend to come up with a choice of move. Christie's went to the 11-year-old twin daughters of the international director of Christie's Impressionist and Modern Art Department Nicholas Maclean, who suggested "scissors" because "Everybody expects you to choose 'rock'." Sotheby's said that they treated it as

2235-516: A descendant of Emperor Jing ( r.  157–141 BC ), attempted to restore the Han dynasty and occupied Chang'an as his capital. However, he was overwhelmed by the Red Eyebrow rebels who deposed, assassinated, and replaced him with the puppet monarch Liu Penzi . Gengshi's distant cousin Liu Xiu, known posthumously as Emperor Guangwu ( r.  25–57 AD ), after distinguishing himself at

2384-414: A finite number of options available to choose. An example of a simultaneous 2-player game: A town has two companies, A and B, who currently make $ 8,000,000 each and need to determine whether they should advertise. The table below shows the payoff patterns; the rows are options of A and the columns are options of B. The entries are payoffs for A and B, respectively, separated by a comma. A zero-sum game

2533-406: A game somewhat self-balancing, prevent gameplay from being overwhelmed by a single dominant strategy and single dominant type of unit. Simultaneous game In game theory , a simultaneous game or static game is a game where each player chooses their action without knowledge of the actions chosen by other players. Simultaneous games contrast with sequential games , which are played by

2682-413: A game, it is a complete plan for a player in a given game. Mixed strategies are those in which players randomize strategies in their best responses set. These have associated probabilities with each set of strategies. For simultaneous games, players will typically select mixed strategies while very occasionally choosing pure strategies. The reason for this is that in a game where players don’t know what

2831-472: A less common variant, holding it behind their back). They then "throw" or "shoot" by extending their selected sign towards their opponent on what would have been the fourth count, often saying the word "shoot" while doing so. Variations include a version where players throw immediately on the third count (thus throwing on the count of "Scissors!"), a version including five counts rather than four ("Rock! Paper! Scissors! Says! Shoot!", almost exclusively localized in

2980-438: A non-random player by predicting their move, which can be done by exploiting psychological effects or by analyzing statistical patterns of their past behavior. As a result, there have been programming competitions for algorithms that play rock paper scissors. During tournaments, players often prepare their sequence of three gestures prior to the tournament's commencement. Some tournament players employ tactics to confuse or trick

3129-561: A request by Kushan ruler Vima Kadphises ( r.   c.  90  – c.  100 AD –  ) for a marriage alliance with the Han was rejected in AD ;90, he sent his forces to Wakhan (modern-day Afghanistan) to attack Ban Chao. The conflict ended with the Kushans withdrawing because of lack of supplies. In AD 91, the office of Protector General of the Western Regions

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3278-422: A rock paper scissors pattern in its mating strategies. Of its three throat color types of males, "orange beats blue, blue beats yellow, and yellow beats orange" in competition for females, which is similar to the rules of rock-paper-scissors. Some bacteria also exhibit a rock paper scissors dynamic when they engage in antibiotic production. The theory for this finding was demonstrated by computer simulation and in

3427-428: A series of reforms that limited the power of these kingdoms in 145, dividing their former territories into new commanderies under central control. Kings were no longer able to appoint their own staff; this duty was assumed by the imperial court. Kings became nominal heads of their fiefs and collected a portion of tax revenues as their personal incomes. The kingdoms were never entirely abolished and existed throughout

3576-545: A successful overthrow of her regime to enthrone Emperor Shun of Han ( r.  125–144 AD ). Yan was placed under house arrest, her relatives were either killed or exiled, and her eunuch allies were slaughtered. The regent Liang Ji ( d.  159 AD ), brother of Empress Liang Na ( d.  150 AD ), had the brother-in-law of Consort Deng Mengnü ( d.  165 AD ) killed after Deng Mengnü resisted Liang Ji's attempts to control her. Afterward, Emperor Huan employed eunuchs to depose Liang Ji, who

3725-474: A war to determine who would have hegemony over China, which had fissured into Eighteen Kingdoms , each claiming allegiance to either Xiang Yu or Liu Bang. Although Xiang Yu proved to be an effective commander, Liu Bang defeated him at the Battle of Gaixia (202 BC) in modern-day Anhui . Liu Bang assumed the title of Emperor at the urging of his followers and is known posthumously as Emperor Gaozu ( r.  202–195 BC ). Chang'an (modern Xi'an)

3874-484: A widely played hand game, is an example of a simultaneous game. Both players make a decision without knowledge of the opponent's decision, and reveal their hands at the same time. There are two players in this game and each of them has three different strategies to make their decision; the combination of strategy profiles (a complete set of each player's possible strategies) forms a 3×3 table. We will display Player 1's strategies as rows and Player 2's strategies as columns. In

4023-400: Is a payoff of 10 for A which has to be paid by B, therefore a payoff of -10 for B. An example of a simultaneous 3-player game: A classroom vote is held as to whether or not they should have an increased amount of free time. Player A selects the matrix, player B selects the row, and player C selects the column. The payoffs are: All of the above examples have been symmetric. All players have

4172-439: Is a simultaneous game in which there are two players. The decision to be made is whether or not each player wishes to hunt a Stag or a Hare. Naturally hunting a Stag will provide greater utility in comparison to hunting a Hare. However, in order to hunt a Stag both players need to work together. On the other hand, each player is perfectly capable of hunting a hare alone. The resulting dilemma is that neither player can be sure of what

4321-485: Is beaten by everything except it beats fire. The perfect game-theoretic strategy is to use rock, paper, and scissors 1 9 {\displaystyle {\frac {1}{9}}} of the time and 1 3 {\displaystyle {\frac {1}{3}}} of the time for fire and water. Nevertheless, experiments show that people underuse water and overuse rock, paper, and scissors in this game. The common side-blotched lizard ( Uta stansburiana ) exhibits

4470-476: Is better than serving 3. The choice to cooperate clearly provides a better outcome for the two prisoners however from a perspective of self interest this option would be deemed irrational. The aforementioned both cooperating option features the least total time spent in prison, serving 2 years total. This total is significantly less than the Nash Equilibrium total, where both cooperate, of 4 years. However, given

4619-421: Is chosen based on past performance. The main strategies it employs are history matching, frequency analysis, and random guessing. Its strongest strategy, history matching, searches for a sequence in the past that matches the last few moves in order to predict the next move of the algorithm. In frequency analysis, the program simply identifies the most frequently played move. The random guess is a fallback method that

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4768-470: Is closely linked to Pareto Optimality which is an ideal of Welfare Economics and often implies a notion of ethical consideration. A simultaneous game, for example, is said to reach Pareto optimality if there is no alternative outcome that can make at least one player better off while leaving all other players at least as well off. Therefore, these outcomes are referred to as socially desirable outcomes. The Stag Hunt by philosopher Jean-Jacques Rousseau

4917-452: Is for some other reason. It is unclear why this name became associated with the game, with hypotheses ranging from a slight phonetic similarity with the Japanese name jan-ken-pon, to the presence of a statue of Rochambeau in a neighborhood of Washington, D.C. The modern game is known by several other names such as Rochambeau , Roshambo , Ro-sham-bo , Bato Bato Pik , and Jak-en-poy . While

5066-508: Is imperative to note that Pareto optimality is not a strategic solution for simultaneous games. However, the ideal informs players about the potential for more efficient outcomes. Moreover, potentially providing insight into how players should learn to play over time. Bibliography Han dynasty This is an accepted version of this page The Han dynasty was an imperial dynasty of China (202 BC – 9 AD, 25–220 AD) established by Liu Bang and ruled by

5215-415: Is important to note that Nash equilibria and many of the aforementioned strategies generally fail to result in socially desirable outcomes. Pareto efficiency is a notion rooted in the theoretical construct of perfect competition . Originating with Italian economist Vilfredo Pareto the concept refers to a state in which an economy has maximized efficiency in terms of resource allocation. Pareto Efficiency

5364-505: Is known as 野球拳 ( Yakyuken ). The loser of each round removes an article of clothing. The game is a minor part of porn culture in Japan and other Asian countries after the influence of TV variety shows and Soft On Demand . In the Philippines, the game is called jak-en-poy (from the Japanese jankenpon ). In a longer version of the game, a four-line song is sung, with hand gestures displayed at

5513-486: Is now northern Sichuan and southern Shaanxi , was not quelled until 215 AD. Zhang Jue's massive rebellion across eight provinces was annihilated by Han forces within a year; however, the following decades saw much smaller recurrent uprisings. Although the Yellow Turbans were defeated, many generals appointed during the crisis never disbanded their assembled militias and used these troops to amass power outside of

5662-514: Is one of the most famous games in Game theory. The game is usually presented as follows: Two members of a criminal gang have been apprehended by the police. Both individuals now sit in solitary confinement. The prosecutors have the evidence required to put both prisoners away on lesser charges. However, they do not possess the evidence required to convict the prisoners on their principle charges. The prosecution therefore simultaneously offers both prisoners

5811-589: Is recorded in the Weilüe and Book of Later Han to have reached the court of Emperor Huan of Han ( r.  146–168 AD ) in AD 166, yet Rafe de Crespigny asserts that this was most likely a group of Roman merchants . In addition to Roman glasswares and coins found in China, Roman medallions from the reign of Antoninus Pius and his adopted son Marcus Aurelius have been found at Óc Eo in Vietnam. This

5960-601: Is simply a translation of the Japanese words for the three gestures involved in the game, though the Japanese name for the game is different. The name Roshambo or Rochambeau has been claimed to refer to Count Rochambeau , who allegedly played the game during the American Revolutionary War . The legend that he played the game is apocryphal, as all evidence points to the game being brought to the United States later than 1910; if this name has anything to do with him it

6109-538: Is stronger than human, human is stronger than ant, but elephant is afraid of the ant. Using the same tripartite division, there is a full-body variation in lieu of the hand signs called "Bear, Hunter, Ninja". In this iteration the participants stand back-to-back and at the count of three (or ro-sham-bo as is traditional) turn around facing each other using their arms evoking one of the totems. The players' choices break down as: Hunter shoots bear; Bear eats ninja; Ninja kills hunter. Generalized rock-paper-scissors games where

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6258-441: Is the maximin move (strategy), as it maximises the minimum possible payoff. Thus, the player can be assured a payoff of at least the maximin value, regardless of how the others are playing. The player doesn’t have the know the payoffs of the other players in order to choose the maximin move, therefore players can choose the maximin strategy in a simultaneous game regardless of what the other players choose. A pure Nash Equilibrium

6407-408: Is to play each of the other objects (paper, scissors and well) one-third of the time. Variants in which the number of moves is an odd number and each move defeats exactly half of the other moves while being defeated by the other half are typically considered. Variations with up to 101 different moves have been published. Adding new gestures has the effect of reducing the odds of a tie, while increasing

6556-405: Is used to prevent a devastating loss in the event that the other strategies fail. There have since been some innovations, such as using multiple history-matching schemes that each match a different aspect of the history – for example, the opponent's moves, the program's own moves, or a combination of both. There have also been other algorithms based on Markov chains . In 2012, researchers from

6705-512: Is when no one can gain a higher payoff by deviating from their move, provided others stick with their original choices. Nash equilibria are self-enforcing contracts, in which negotiation happens prior to the game being played in which each player best sticks with their negotiated move. In a Nash Equilibrium, each player is best responded to the choices of the other player. The prisoner’s dilemma originated with Merrill Flood and Melvin Dresher and

6854-431: Is when the sum of payoffs equals zero for any outcome i.e. the losers pay for the winners gains. For a zero-sum 2-player game the payoff of player A doesn’t have to be displayed since it is the negative of the payoff of player B. An example of a simultaneous zero-sum 2-player game: Rock–paper–scissors is being played by two friends, A and B for $ 10. The first cell stands for a payoff of 0 for both players. The second cell

7003-526: The Battle of Kunyang in 23 AD, was urged to succeed Gengshi as emperor. Under Guangwu's rule, the Han Empire was restored. Guangwu made Luoyang his capital in 25 AD, and by 27 his officers Deng Yu and Feng Yi had forced the Red Eyebrows to surrender and executed their leaders for treason . From 26 until 36 AD, Emperor Guangwu had to wage war against other regional warlords who claimed

7152-517: The Battle of Zhizhi , in modern Taraz , Kazakhstan. In 121 BC, Han forces expelled the Xiongnu from a vast territory spanning the Hexi Corridor to Lop Nur . They repelled a joint Xiongnu- Qiang invasion of this northwestern territory in 111 BC. In that same year, the Han court established four new frontier commanderies in this region to consolidate their control: Jiuquan , Zhangyi , Dunhuang , and Wuwei . The majority of people on

7301-715: The Buyeo Kingdom in Manchuria to the Ili River of the Wusun people. The Xianbei reached their apogee under Tanshihuai ( d.  AD 181 ), who consistently defeated Chinese armies. However, Tanshihuai's confederation disintegrated after his death. Ban Chao ( d.  AD 102 ) enlisted the aid of the Kushan Empire , which controlled territory across South and Central Asia, to subdue Kashgar and its ally Sogdiana. When

7450-793: The Chu–Han Contention , the resulting Han dynasty was named after the Hanzhong fief. China's first imperial dynasty was the Qin dynasty (221–207 BC). The Qin united the Chinese Warring States by conquest, but their regime became unstable after the death of the first emperor Qin Shi Huang . Within four years, the dynasty's authority had collapsed in a rebellion. Two former rebel leaders, Xiang Yu ( d.  202 BC ) of Chu and Liu Bang ( d.  195 BC ) of Han , engaged in

7599-539: The Eastern Han (25–220 AD). Spanning over four centuries, the Han dynasty is considered a golden age in Chinese history , and had a permanent impact on Chinese identity in later periods. The majority ethnic group of modern China refer to themselves as the " Han people " or "Han Chinese". The spoken Chinese and written Chinese are referred to respectively as the "Han language" and " Han characters ". The Han emperor

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7748-729: The Greco-Bactrian Kingdom ); he also gathered information on Shendu (the Indus River valley) and Anxi (the Parthian Empire ). All of these countries eventually received Han embassies. These connections marked the beginning of the Silk Road trade network that extended to the Roman Empire , bringing goods like Chinese silk and Roman glasswares between the two. From c.  115 BC until c.  60 BC , Han forces fought

7897-597: The Middle District of Florida ordered opposing sides in a lengthy court case to settle a trivial (but lengthily debated) point over the appropriate place for a deposition using the game of rock paper scissors. The ruling in Avista Management v. Wausau Underwriters stated: Upon consideration of the Motion ;– the latest in a series of Gordian knots that the parties have been unable to untangle without enlisting

8046-526: The Rebellion of the Seven States . From the reign of Emperor Wu ( r.  141–87 BC ) onward, the Chinese court officially sponsored Confucianism in education and court politics, synthesized with the cosmology of later scholars such as Dong Zhongshu . The Han dynasty oversaw periods of economic prosperity as well as significant growth in the money economy that had first been established during

8195-462: The Xiongnu , a nomadic confederation centred in the eastern Eurasian steppe . The Xiongnu defeated the Han in 200 BC , prompting the Han to appease the Xiongnu with a policy of marriage alliance and payments of tribute, though the Xiongnu continued to raid the Han's northern borders. Han policy changed in 133 BC, under Emperor Wu , when Han forces began a series of military campaigns to quell

8344-564: The Xiongnu , who were estranged from Han until their leader Bi ( 比 ), a rival claimant to the throne against his cousin Punu ( 蒲奴 ), submitted to Han as a tributary vassal in AD 50. This created two rival Xiongnu states: the Southern Xiongnu led by Bi, an ally of Han, and the Northern Xiongnu led by Punu, an enemy of Han. During the turbulent reign of Wang Mang, China lost control over

8493-565: The Yellow Turban Rebellion and Five Pecks of Rice Rebellion in 184 AD, largely because the court did not want to continue to alienate a significant portion of the gentry class who might otherwise join the rebellions. The Yellow Turbans and Five-Pecks-of-Rice adherents belonged to two different hierarchical Taoist religious societies led by faith healers Zhang Jue ( d.  184 AD ) and Zhang Lu ( d.  216 AD ), respectively. Zhang Lu's rebellion, in what

8642-599: The Zhou dynasty ( c.  1050  – 256 BC). The coinage minted by the central government in 119 BC remained the standard in China until the Tang dynasty (618–907 AD). The period saw a number of limited institutional innovations. To finance its military campaigns and the settlement of newly conquered frontier territories, the Han government nationalised private salt and iron industries in 117 BC, creating government monopolies that were later repealed during

8791-465: The "frog". (The Chinese and Japanese versions differ in the animals represented; in adopting the game, the Chinese characters for the venomous centipede (蜈蜙) were apparently confused with the characters for the slug (蛞蝓)). The most popular sansukumi-ken game in Japan was kitsune-ken ( 狐拳 ). In this game, a supernatural fox called a kitsune (狐) defeats the village head, the village head (庄屋) defeats

8940-531: The Continent once". Another article, from the same year, the Washington Herald described it as a method of "Chinese gambling". In Britain in 1924 it was described in a letter to The Times as a hand game, possibly of Mediterranean origin, called "zhot". A reader then wrote in to say that the game "zhot" referred to was evidently Jan-ken-pon, which she had often seen played throughout Japan. Although at this date

9089-494: The Eastern period. There were significant advances in science and technology during the Han period, including the emergence of papermaking , rudders for steering ships, negative numbers in mathematics , raised-relief maps , hydraulic -powered armillary spheres for astronomy , and seismometers that discerned the cardinal direction of distant earthquakes by use of inverted pendulums . The Han dynasty had many conflicts with

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9238-448: The Han as equal partners in a royal marriage alliance, but the Han were forced to send large amounts of tribute items such as silk clothes, food, and wine to the Xiongnu. Despite the tribute and negotiation between Laoshang Chanyu ( r.  174–160 BC ) and Emperor Wen ( r.  180–157 BC ) to reopen border markets, many of the Chanyu 's subordinates chose not to obey

9387-669: The House of Liu. The dynasty was preceded by the short-lived Qin dynasty (221–206 BC) and a warring interregnum known as the Chu–Han Contention (206–202 BC), and it was succeeded by the Three Kingdoms period (220–280 AD). The dynasty was briefly interrupted by the Xin dynasty (9–23 AD) established by the usurping regent Wang Mang , and is thus separated into two periods—the Western Han (202 BC – 9 AD) and

9536-689: The Imperial University on a dubious charge of treason. In 167 AD, the Grand Commandant Dou Wu ( d.  168 AD ) convinced his son-in-law, Emperor Huan, to release them. However, the emperor permanently barred Li Ying and his associates from serving in office, marking the beginning of the Partisan Prohibitions . Following Huan's death, Dou Wu and the Grand Tutor Chen Fan ( d.  168 AD ) attempted

9685-543: The Ishikawa Watanabe Laboratory at the University of Tokyo created a robot hand that can play rock paper scissors with a 100% win rate against a human opponent. Using a high-speed camera the robot recognizes within one millisecond which shape the human hand is making, then produces the corresponding winning shape. Players have developed numerous cultural and personal variations on the game, from simply playing

9834-666: The Tarim Basin, which was conquered by the Northern Xiongnu in AD 63 and used as a base to invade the Hexi Corridor in Gansu . Dou Gu ( d.  88 AD ) defeated the Northern Xiongnu at the Battle of Yiwulu in AD 73, evicting them from Turpan and chasing them as far as Lake Barkol before establishing a garrison at Hami. After the new Protector General of the Western Regions Chen Mu ( d.  AD 75 )

9983-515: The Tokyo rush hour describes the rules of the game for the benefit of American readers, suggesting it was not at that time widely known in the U.S. Likewise, the trick-taking card game “Jan-Ken-Po”, first published in 1934, describes the rules of the hand-game without mentioning any American game along the lines of “rock paper scissors”. The 1933 edition of the Compton's Pictured Encyclopedia described it as

10132-466: The United States to Long Island and some parts of New York City), a version where players say “Scissors! Paper! Rock!”, and a version where players shake their hands three times before "throwing". The first known mention of the game was in the book Wuzazu  [ zh ] by the Ming-dynasty writer Xie Zhaozhe  [ zh ] ( fl. c. 1600), who wrote that the game dated back to

10281-508: The Xiongnu court to flee north of the Gobi Desert , and Han forces reached as far north as Lake Baikal . After Wu's reign, Han forces continued to fight the Xiongnu. The Xiongnu leader Huhanye ( r.  58–31 BC ) finally submitted to the Han as a tributary vassal in 51 BC. Huhanye's rival claimant to the throne, Zhizhi Chanyu ( r.  56–36 BC ), was killed by Han forces under Chen Tang and Gan Yanshou ( 甘延壽 ) at

10430-476: The Xiongnu over control of the oasis city-states in the Tarim Basin. The Han was eventually victorious and established the Protectorate of the Western Regions in 60 BC, which dealt with the region's defence and foreign affairs. The Han also expanded southward . The naval conquest of Nanyue in 111 BC expanded the Han realm into what are now modern Guangdong , Guangxi , and northern Vietnam. Yunnan

10579-481: The Xiongnu. The Xiongnu were eventually defeated and forced to accept a status as Han vassals , and the Xiongnu confederation fragmented. The Han conquered the Hexi Corridor and Inner Asian territory of the Tarim Basin from the Xiongnu, helping to establish the Silk Road . The lands north of the Han's borders were later overrun by the nomadic Xianbei confederation. Emperor Wu also launched successful conquests in

10728-536: The Yuan brothers, Zhang committed suicide by jumping into the Yellow River. General Dong Zhuo ( d.  192 AD ) found the young emperor and his brother wandering in the countryside. He escorted them safely back to the capital and was made Minister of Works , taking control of Luoyang and forcing Yuan Shao to flee. After Dong Zhuo demoted Emperor Shao and promoted his brother Liu Xie as Emperor Xian, Yuan Shao led

10877-792: The assistance of the federal courts – it is ORDERED that said Motion is DENIED. Instead, the Court will fashion a new form of alternative dispute resolution, to wit: at 4:00 P.M. on Friday, June 30, 2006, counsel shall convene at a neutral site agreeable to both parties. If counsel cannot agree on a neutral site, they shall meet on the front steps of the Sam M. Gibbons U.S. Courthouse, 801 North Florida Ave., Tampa, Florida 33602. Each lawyer shall be entitled to be accompanied by one paralegal who shall act as an attendant and witness. At that time and location, counsel shall engage in one (1) game of "rock, paper, scissors." The winner of this engagement shall be entitled to select

11026-565: The author at least believed that the game was well known enough in America that her readers would understand the reference. In 1927 La Vie au patronage , a children's magazine in France, described it in detail, referring to it as a "jeu japonais" ("Japanese game"). Its French name, "Chi-fou-mi", is based on the Old Japanese words for "one, two, three" ("hi, fu, mi"). A 1932 New York Times article on

11175-849: The basic applications of game theory and non-linear dynamics to bacteriology. Models of evolution demonstrate how intragenomic competition can lead to rock paper scissors dynamics from a relatively general evolutionary model. The general nature of this basic non-transitive model is widely applied in theoretical biology to explore bacterial ecology and evolution. In the televised robot combat competition BattleBots , relations between "lifters, which had wedged sides and could use forklift-like prongs to flip pure wedges", "spinners, which were smooth, circular wedges with blades on their bottom side for disabling and breaking lifters", and "pure wedges, which could still flip spinners" are analogical to relations in rock paper scissors games and called "robot Darwinism". In 2006, American federal judge Gregory Presnell from

11324-468: The best move a player can make is to follow their dominant strategy, if one exists. When analyzing a simultaneous game: Firstly, identify any dominant strategies for all players. If each player has a dominant strategy, then players will play that strategy however if there is more than one dominant strategy then any of them are possible. Secondly, if there aren’t any dominant strategies, identify all strategies dominated by other strategies. Then eliminate

11473-517: The capital was moved eastward to Luoyang. The era from his reign until the fall of Han is known as the Eastern Han or Later Han (25–220 AD). The Eastern Han ( traditional Chinese : 東漢 ; simplified Chinese : 东汉 ; pinyin : Dōnghàn ), also known as the Later Han ( 後漢 ; 后汉 ; Hòuhàn ), formally began on 5 August AD 25, when Liu Xiu became Emperor Guangwu of Han . During

11622-472: The choices of other players. A simple example is an election in which not all voters will vote literally at the same time but each voter will vote not knowing what anyone else has chosen. Given that decision makers are rational, then so is individual rationality. An outcome is individually rational if it yields each player at least his security level. The security level for Player i is the amount max min Hi (s) that

11771-434: The collapsing imperial authority. General-in-chief He Jin ( d.  189 AD ), half-brother to Empress He ( d.  189 AD ), plotted with Yuan Shao ( d.  202 AD ) to overthrow the eunuchs by having several generals march to the outskirts of the capital. There, in a written petition to Empress He, they demanded the eunuchs' execution. After a period of hesitation, Empress He consented. When

11920-540: The collection to the market as well as how they would maximize the profits from the sale. Both firms made elaborate proposals, but neither was persuasive enough to earn Hashiyama's approval. Unwilling to split up the collection into separate auctions, Hashiyama asked the firms to decide between themselves who would hold the auction, which included Cézanne's Large Trees Under the Jas de Bouffan , estimated to be worth between $ 12 million to $ 16 million. The houses were unable to reach

12069-433: The complexity of the game. The probability of a tie in an odd-number-of-weapons game can be calculated based on the number of weapons n as 1/ n , so the probability of a tie is 1/3 in standard rock paper scissors, but 1/5 in a version that offered five moves instead of three. One popular five-weapon expansion is " rock paper scissors Spock lizard ", invented by Sam Kass and Karen Bryla, which adds " Spock " and "lizard" to

12218-408: The constraints that Prisoners A and B are individually motivated, they will always choose betrayal. They do so by selecting the best option for themselves while considering each possible decisions of the other prisoner. In the battle of the sexes game, a wife and husband decide independently whether to go to a football game or the ballet. Each person likes to do something together with the other, but

12367-402: The continued competition among strains: antibiotic-producers defeat antibiotic-sensitives; antibiotic-resisters multiply and withstand and out-compete the antibiotic-producers, letting antibiotic-sensitives multiply and out-compete others; until antibiotic-producers multiply again. Rock paper scissors is the subject of continued research in bacterial ecology and evolution. It is considered one of

12516-402: The dominated strategies and the remaining are strategies players will play. Some people always expect the worst and believe that others want to bring them down when in fact others want to maximise their payoffs. Still, nonetheless, player A will concentrate on their smallest possible payoff, believing this is what player A will get, they will choose the option with the highest value. This option

12665-490: The emperor was often a minor, ruled over by a regent such as the empress dowager or one of her male relatives. Ranked immediately below the emperor were the kings who were of the same Liu family clan. The rest of society, including nobles lower than kings and all commoners excluding slaves, belonged to one of twenty ranks ( ershi gongcheng 二十公乘 ). Each successive rank gave its holder greater pensions and legal privileges. The highest rank, of full marquess , came with

12814-576: The empire . The Han dynasty came to an end in 220 AD when Cao Pi , king of Wei , usurped the throne from Emperor Xian . According to the Records of the Grand Historian , after the collapse of the Qin dynasty the hegemon Xiang Yu appointed Liu Bang as prince of the small fief of Hanzhong , named after its location on the Han River (in modern southwest Shaanxi ). Following Liu Bang's victory in

12963-483: The empresses and empresses dowager . Imperial authority was also seriously challenged by large Taoist religious societies which instigated the Yellow Turban Rebellion and the Five Pecks of Rice Rebellion . Following the death of Emperor Ling ( r.  168–189 AD ), the palace eunuchs were massacred by military officers, allowing members of the aristocracy and military governors to become warlords and divide

13112-424: The end of each (or the final) line: "Jack-en-poy! / Hali-hali-hoy! / Sino'ng matalo, / siya'ng unggoy!" ("Jack-en-poy! / Hali-hali-hoy! / Whoever loses is the monkey!") In the former case, the person with the most wins at the end of the song, wins the game. A shorter version of the game uses the chant "Bato-bato-pick" ("Rock-rock-pick [i.e. choose]") instead. A multiple player variation can be played: Players stand in

13261-633: The eunuchs discovered this, however, they had her brother He Miao ( 何苗 ) rescind the order. The eunuchs assassinated He Jin on 22 September 189. Yuan Shao then besieged Luoyang's Northern Palace while his brother Yuan Shu ( d.  199 AD ) besieged the Southern Palace. On September 25 both palaces were breached and approximately two thousand eunuchs were killed. Zhang Rang had previously fled with Emperor Shao ( r.  189 AD ) and his brother Liu Xie—the future Emperor Xian of Han ( r.  189–220 AD ). While being pursued by

13410-427: The family inheritance. His brothers Yuan Shang and Yuan Xi were killed in 207 AD by Gongsun Kang ( d.  221 AD ), who sent their heads to Cao Cao. After Cao's defeat at the naval Battle of Red Cliffs in 208 AD, China was divided into three spheres of influence, with Cao Cao dominating the north, Sun Quan (182–252 AD) dominating the south, and Liu Bei (161–223 AD) dominating

13559-601: The frontier were soldiers. On occasion, the court forcibly moved peasant farmers to new frontier settlements, along with government-owned slaves and convicts who performed hard labour. The court also encouraged commoners, such as farmers, merchants, landowners, and hired labourers, to voluntarily migrate to the frontier. Even before the Han's expansion into Central Asia, diplomat Zhang Qian 's travels from 139 to 125 BC had established Chinese contacts with many surrounding civilizations. Zhang encountered Dayuan ( Fergana ), Kangju ( Sogdiana ), and Daxia ( Bactria , formerly

13708-506: The game appears to have been new enough to British readers to need explaining, the appearance by 1927 of a popular thriller with the title Scissors Cut Paper , followed by Stone Blunts Scissors (1929), suggests it quickly became popular. The game is referred to in two of Hildegard G. Frey's novels in the Campfire Girls series: The Campfire Girls Go Motoring (1916) and The Campfire Girls Larks and Pranks (1917), which suggests that it

13857-422: The game is simultaneous than if it is sequential because they have less information to act on at each step in the game. For example, in a two player continuous game that is sequential, the second player can act in response to the action taken by the first player. However, this is not possible in a simultaneous game where both players act at the same time. In sequential games, players observe what rivals have done in

14006-492: The game's name is a list of three items, different countries often have the list in a different order. In North America and the United Kingdom, it is known as "rock, paper, scissors" or "scissors, paper, stone". If this name is chanted while actually playing the game, it might be followed by an exclamation of "shoot" at the moment when the players are to reveal their choice (i.e. "Rock, paper, scissors, shoot!"). In Australia,

14155-449: The hunter, and the hunter (猟師) defeats the fox. Kitsune-ken , unlike mushi-ken or rock–paper–scissors, requires gestures with both hands. Today, the best-known sansukumi-ken is called jan-ken ( じゃんけん ) , which is a variation of the Chinese games introduced in the 17th century. Jan-ken uses the rock, paper, and scissors signs and is the direct source of the modern version of rock paper scissors. Hand-games using gestures to represent

14304-414: The husband prefers football and the wife prefers ballet. The two Nash equilibria, and therefore the best responses for both husband and wife, are for them to both pick the same leisure activity e.g. (ballet, ballet) or (football, football). The table below shows the payoff for each option: Simultaneous games are designed to inform strategic choices in competitive and non cooperative environments. However,

14453-468: The laboratory by Benjamin Kerr, working at Stanford University with Brendan Bohannan . Additional in vitro results demonstrate rock paper scissors dynamics in additional species of bacteria. Biologist Benjamin C. Kirkup Jr. demonstrated that these antibiotics, bacteriocins , were active as Escherichia coli compete with each other in the intestines of mice, and that the rock paper scissors dynamics allowed for

14602-593: The location for the 30(b)(6) deposition to be held somewhere in Hillsborough County during the period 11–12 July 2006. In 2005, when Takashi Hashiyama, CEO of Japanese television equipment manufacturer Maspro Denkoh , decided to auction off the collection of Impressionist paintings owned by his corporation, including works by Paul Cézanne , Pablo Picasso , and Vincent van Gogh , he contacted two leading auction houses, Christie's International and Sotheby's Holdings, seeking their proposals on how they would bring

14751-510: The most common name in English is "paper, scissors, rock". In Māori , it is known as pēpa, kutikuti, kōhatu ( lit.   ' paper, scissors, rock ' ). In France, the game is sometimes called Shifumi (sometimes spelled Chifoumi) The players may start by counting to three aloud, or by speaking the name of the game (e.g. "Rock! Paper! Scissors!"), raising one hand in a fist and swinging it down with each syllable onto their other hand (or in

14900-697: The most common name is "scissors, paper, rock" (the reverse of the American format). There have been claims that there are regional variations of the name in Australia; the video claimed that it was referred to as "scissors, paper, rock" in New South Wales , "rock, paper, scissors" in Victoria , South Australia and Western Australia and "paper, scissors, rock" in Queensland , though this has been disputed. In New Zealand,

15049-535: The names of the three Japanese hand-gestures for rock, paper and scissors; elsewhere in East Asia the open-palm gesture represents "cloth" rather than "paper". The shape of the scissors is also adopted from the Japanese style. A 1921 article about cricket in the Sydney Morning Herald described "stone, scissors, and paper" as a "Teutonic method of drawing lots", which the writer "came across when travelling on

15198-411: The nobility, Wang Mang claimed on 10 January that the divine Mandate of Heaven called for the end of the Han dynasty and the beginning of his own: the Xin dynasty (9–23 AD). Wang Mang initiated a series of major reforms that were ultimately unsuccessful. These reforms included outlawing slavery, nationalizing and equally distributing land between households, and introducing new currencies,

15347-510: The nodes, due to the party being unaware of the other party's decision (by definition of "simultaneous game"). Some variants of chess that belong to this class of games include synchronous chess and parity chess. In a simultaneous game, players only have one move and all players' moves are made simultaneously. The number of players in a game must be stipulated and all possible moves for each player must be listed. Each player may have different roles and options for moves. However, each player has

15496-445: The number of weapons = 3, 4, 5, ... as follows: The French game pierre, papier, ciseaux, puits (stone, paper, scissors, well ) is unbalanced; both the stone and scissors fall in the well and lose to it, while paper covers both stone and well. This means two "weapons", well and paper, can defeat two moves, while the other two weapons each defeat only one of the other three choices. The stone has no advantage to well, so optimal strategy

15645-416: The other one will choose it is best to pick the option that is likely to give the you the greatest benefit for the lowest risk given the other player could choose anything i.e. if you pick your best option but the other player also picks their best option, someone will suffer. A dominant strategy provides a player with the highest possible payoff for any strategy of the other players. In simultaneous games,

15794-458: The other player into making an illegal move, resulting in a loss. One such tactic is to shout the name of one move before throwing another, in order to misdirect and confuse their opponent. The "rock" move, in particular, is notable in that it is typically represented by a closed fist—often identical to the fist made by players during the initial countdown. If a player is attempting to beat their opponent based on quickly reading their hand gesture as

15943-666: The other to the south of the Shandong Peninsula , though Han engineers managed to dam the southern branch by 70 AD. The flood dislodged thousands of peasant farmers, many of whom joined roving bandit and rebel groups such as the Red Eyebrows to survive. Wang Mang's armies were incapable of quelling these enlarged rebel groups. Eventually, an insurgent mob forced their way into the Weiyang Palace and killed Wang Mang. The Gengshi Emperor ( r.  23–25 AD ),

16092-414: The other will choose to do. Thus, providing the potential for a player to receive no payoff should they be the only party to choose to hunt a Stag. Therefore, resulting in the following payoff matrix: The game is designed to illustrate a clear Pareto optimality where both players cooperate to hunt a Stag. However, due to the inherent risk of the game, such an outcome does not always come to fruition. It

16241-415: The other, by definition such representation does not correspond to the real life timing of the players’ decisions in a simultaneous game. The key to modeling simultaneous games in the extensive form is to get the information sets right. A dashed line between nodes in extensive form representation of a game represents information asymmetry and specifies that, during the game, a party cannot distinguish between

16390-560: The other. When the retainers gradually deserted Dou Wu, he was forced to commit suicide. Under Emperor Ling ( r.  168–189 AD ) the eunuchs had the partisan prohibitions renewed and expanded, while also auctioning off top government offices. Many affairs of state were entrusted to the eunuchs Zhao Zhong ( d.  189 AD ) and Zhang Rang ( d.  189 AD ) while Emperor Ling spent much of his time roleplaying with concubines and participating in military parades. The Partisan Prohibitions were repealed during

16539-426: The past and there is a specific order of play. However, in simultaneous games, all players select strategies without observing the choices of their rivals and players choose at the exact same time. A simple example is rock-paper-scissors in which all players make their choice at the exact same time. However moving at exactly the same time isn’t always taken literally, instead players may move without being able to see

16688-400: The play continues until both players throw the same item (for example, rock and rock), at which point whoever was the last winner becomes the actual winner. In another popular two-handed variant, one player will shout "minus one" after the initial play. Each player removes one hand, and the winner is decided by the remaining hands in play. In Japan, a strip game variant of rock paper scissors

16837-402: The player can guarantee themselves unilaterally, that is, without considering the actions of other players. In a simultaneous game, players will make their moves simultaneously, determine the outcome of the game and receive their payoffs. The most common representation of a simultaneous game is normal form (matrix form). For a 2 player game; one player selects a row and the other player selects

16986-405: The players are making their moves, it is possible to determine if the opponent is about to throw "rock" based on their lack of hand movement, as both "scissors" and "paper" require the player to reposition their hand. This can likewise be used to deceive an anticipating opponent by keeping one's fist closed until the last possible moment, leading them to believe that one is about to throw "rock". As

17135-448: The players have a choice of more than three weapons have been studied. Any variation of rock paper scissors is an oriented graph , where the nodes represent the symbols (weapons) choosable by the players, and an edge from A to B means that A defeats B. Each oriented graph is a potentially playable rock paper scissors game. According to theoretical calculations, the number of distinguishable (i.e. not isomorphic ) oriented graphs grows with

17284-420: The players taking turns (moves alternate between players). In other words, both players normally act at the same time in a simultaneous game. Even if the players do not act at the same time, both players are uninformed of each other's move while making their decisions. Normal form representations are usually used for simultaneous games. Given a continuous game , players will have different information sets if

17433-584: The remainder of Western and Eastern Han. To the north of China proper , the nomadic Xiongnu chieftain Modu Chanyu ( r.  209–174 BC ) conquered various tribes inhabiting the eastern portion of the Eurasian Steppe . By the end of his reign, he controlled the Inner Asian regions of Manchuria , Mongolia , and the Tarim Basin , subjugating over twenty states east of Samarkand . Emperor Gaozu

17582-599: The salt and iron monopolies were eventually abolished in the early Eastern Han. The issuing of coinage remained a central government monopoly throughout the rest of the Han dynasty. The government monopolies were eventually repealed when a political faction known as the Reformists gained greater influence in the court. The Reformists opposed the Modernist faction that had dominated court politics in Emperor Wu's reign and during

17731-553: The same game with different objects, to expanding into more weapons and rules, to giving their own name to the game in their national language. In Korea, where the standard version of the game is called gawi-bawi-bo , a two-player upgraded version exists by the name muk-jji-ppa . After showing their hands, the player with the winning throw shouts " muk-jji-ppa! " upon which both players throw again. If they throw differently (for example, rock and paper, or paper and scissors), whoever wins this second round shouts " muk-jji-ppa! " and thus

17880-460: The same options so if players interchange their moves, they also interchange their payoffs. By design, symmetric games are fair in which every player is given the same chances. Game theory should provide players with advice on how to find which move is best. These are known as “Best Response” strategies. Pure strategies are those in which players pick only one strategy from their best response. A Pure Strategy determines all your possible moves in

18029-501: The same shape, the game is tied, but is usually replayed until there is a winner. Rock paper scissors is often used as a fair choosing method between two people, similar to coin flipping , drawing straws , or throwing dice in order to settle a dispute or make an unbiased group decision. Unlike truly random selection methods, however, rock paper scissors can be played with some degree of skill by recognizing and exploiting non-random behavior in opponents. The name "rock paper scissors"

18178-475: The south , annexing Nanyue in 111 BC and Dian in 109 BC . He further expanded Han territory into the northern Korean Peninsula , where Han forces conquered Gojoseon and established the Xuantu and Lelang commanderies in 108 BC. After 92 AD, palace eunuchs increasingly involved themselves in the dynasty's court politics, engaging in violent power struggles between various consort clans of

18327-525: The standard three choices. "Spock" is signified with the Star Trek Vulcan salute , while "lizard" is shown by forming the hand into a sock-puppet-like mouth. Spock smashes scissors and vaporizes rock; he is poisoned by lizard and disproved by paper. Lizard poisons Spock and eats paper; it is crushed by rock and decapitated by scissors. This variant was mentioned in a 2005 article in The Times of London and

18476-479: The subsequent regency of Huo Guang ( d.  68 BC ). The Modernists argued for an aggressive and expansionary foreign policy supported by revenues from heavy government intervention in the private economy. The Reformists, however, overturned these policies, favouring a cautious, non-expansionary approach to foreign policy, frugal budget reform, and lower tax-rates imposed on private entrepreneurs. Wang Zhengjun (71 BC – 13 AD)

18625-649: The table, the numbers in red represent the payoff to Player 1, the numbers in blue represent the payoff to Player 2. Hence, the pay off for a 2 player game in rock-paper-scissors will look like this: Another common representation of a simultaneous game is extensive form ( game tree ). Information sets are used to emphasize the imperfect information. Although it is not simple, it is easier to use game trees for games with more than 2 players. Even though simultaneous games are typically represented in normal form, they can be represented using extensive form too. While in extensive form one player’s decision must be draw before that of

18774-446: The three conflicting elements of rock, paper, and scissors have been most common since the modern version of the game was created in the late 19th century, between the Edo and Meiji periods. By the early 20th century, rock paper scissors had spread beyond East Asia, especially through increased Japanese contact with the west. Its English-language name is therefore taken from a translation of

18923-407: The three who are afraid of one another" (i.e. A beats B, B beats C, and C beats A). The earliest sansukumi-ken in Japan was apparently mushi-ken (虫拳), a version imported directly from China. In mushi-ken the "frog" (represented by the thumb) triumphs over the "slug" (represented by the little finger), which, in turn prevails over the "snake" (represented by the index finger), which triumphs over

19072-462: The time of the Han dynasty (206 BCE – 220 CE). In the book, the game was called shoushiling . Li Rihua 's book Note of Liuyanzhai also mentions this game, calling it shoushiling ( t . 手勢令; s . 手势令), huozhitou ( t . 豁指頭; s . 豁指头), or huaquan (划拳). From China the game was brought to Japan. Throughout Japanese history there are frequent references to sansukumi-ken , meaning ken (fist) games "of

19221-455: The title of emperor; when these warlords were defeated, China reunified under the Han. The period between the foundation of the Han dynasty and Wang Mang's reign is known as the Western Han ( 西漢 ; 西汉 ; Xīhàn ) or Former Han ( 前漢 ; 前汉 ; Qiánhàn ) (206 BC – 9 AD). During this period the capital was at Chang'an (modern Xi'an ). From the reign of Guangwu

19370-466: The treaty and periodically raided Han territories south of the Great Wall for additional goods. In a court conference assembled by Emperor Wu ( r.  141–87 BC ) in 135 BC, the majority consensus of the ministers was to retain the heqin agreement. Emperor Wu accepted this, despite continuing Xiongnu raids. However, a court conference the following year convinced the majority that

19519-400: The war with Chu, Emperor Gaozu enfeoffed some of them as kings. By 196, the Han court had replaced all of these kings with royal Liu family members, with the lone exception of Changsha . The loyalty of non-relatives to the emperor was questioned, and after several insurrections by Han kings—with the largest being the Rebellion of the Seven States in 154—the imperial court began enacting

19668-483: The west. Cao Cao died in March 220 AD. By December his son Cao Pi (187–226 AD) had Emperor Xian relinquish the throne to him and is known posthumously as Emperor Wen of Wei . This formally ended the Han dynasty and initiated an age of conflict between the Three Kingdoms : Cao Wei , Eastern Wu , and Shu Han . In the hierarchical social order, the emperor was at the apex of Han society and government. However,

19817-411: The widespread rebellion against Wang Mang , the state of Goguryeo was free to raid Han's Korean commanderies ; Han did not reaffirm its control over the region until AD 30. The Trưng Sisters of Vietnam rebelled against Han in AD 40. Their rebellion was crushed by Han general Ma Yuan ( d.  AD 49 ) in a campaign from AD 42 to 43. Wang Mang renewed hostilities against

19966-438: Was appointed regent as Marshall of State on 16 August under Emperor Ping ( r.   1 BC – 6 AD). When Ping died on 3 February 6 AD, Ruzi Ying ( d.  25 AD ) was chosen as the heir and Wang Mang was appointed to serve as acting emperor for the child. Wang promised to relinquish his control to Liu Ying once he came of age. Despite this promise, and against protest and revolts from

20115-456: Was at the pinnacle of Han society and culture . He presided over the Han government but shared power with both the nobility and the appointed ministers who came largely from the scholarly gentry class . The Han Empire was divided into areas directly controlled by the central government called commanderies , as well as a number of semi-autonomous kingdoms . These kingdoms gradually lost all vestiges of their independence, particularly following

20264-889: Was brought into the Han realm with the conquest of the Dian Kingdom in 109 BC, followed by parts of the Korean Peninsula with the Han conquest of Gojoseon and establishment of the Xuantu and Lelang commanderies in 108 BC. The first nationwide census in Chinese history was taken in 2 AD; the Han's total population was registered as comprising 57,671,400 individuals across 12,366,470 households. To pay for his military campaigns and colonial expansion, Emperor Wu nationalised several private industries. He created central government monopolies administered largely by former merchants . These monopolies included salt, iron, and liquor production, as well as bronze coinage . The liquor monopoly lasted only from 98 to 81 BC, and

20413-546: Was chosen as the new capital of the reunified empire under Han. At the beginning of the Western Han ( traditional Chinese : 西漢 ; simplified Chinese : 西汉 ; pinyin : Xīhàn ), also known as the Former Han ( 前漢 ; 前汉 ; Qiánhàn ), thirteen centrally-controlled commanderies —including the capital region—existed in the western third of the empire, while the eastern two-thirds were divided into ten semi-autonomous kingdoms . To placate his prominent commanders from

20562-490: Was convinced by the accusations of the eunuchs Li Run ( 李閏 ) and Jiang Jing ( 江京 ) that Deng and her family had planned to depose him. An dismissed Deng's clan members from office, exiled them, and forced many to commit suicide. After An's death, his wife, Empress Dowager Yan ( d.  126 AD ) placed the child Marquess of Beixiang on the throne in an attempt to retain power within her family. However, palace eunuch Sun Cheng ( d.  132 AD ) masterminded

20711-480: Was first empress, then empress dowager , and finally grand empress dowager during the reigns of the Emperors Yuan ( r.  49–33 BC ), Cheng ( r.  33–7 BC ), and Ai ( r.  7–1 BC ), respectively. During this time, a succession of her male relatives held the title of regent. Following the death of Ai, Wang Zhengjun's nephew Wang Mang (45 BC – 23 AD)

20860-446: Was in revenge for Dou's purging of the clan of his natural mother— Consort Liang —and then concealing her identity from him. After Emperor He's death, his wife Empress Deng Sui ( d.  121 AD ) managed state affairs as the regent empress dowager during a turbulent financial crisis and widespread Qiang rebellion that lasted from 107 to 118 AD. When Empress Dowager Deng died, Emperor An ( r.  106–125 AD )

21009-625: Was killed by allies of the Xiongnu in Karasahr and Kucha , the garrison at Hami was withdrawn. At the Battle of Ikh Bayan in AD 89, Dou Xian ( d.  AD 92 ) defeated the Northern Xiongnu chanyu who then retreated into the Altai Mountains . After the Northern Xiongnu fled into the Ili River valley in AD 91, the nomadic Xianbei occupied the area from the borders of

21158-418: Was known in America at least that early. The first passage where it appears says "In order that no feelings might be involved in any way over which car we other girls traveled in, Nyoda, Solomon-like, proposed that she and Gladys play 'John Kempo' for us. (That isn't spelled right, but no matter.)" There is no explanation in any of the places where it is referenced of what the game actually is. This suggests that

21307-473: Was later the subject of an episode of the American sitcom The Big Bang Theory in 2008 (as rock-paper-scissors-lizard-Spock ). A game-theoretic analysis showed that 4 variants of 582 possible variations using 5 different weapons have non-trivial mixed strategy equilibria . The most representative game of these 4 is "rock, paper, scissors, fire, water". Rock beats scissors, paper beats rock, scissors beats paper, fire beats everything except water, and water

21456-642: Was near the commandery of Rinan where Chinese sources claim the Romans first landed, as well as embassies from Tianzhu in northern India in 159 and 161. Óc Eo is also thought to be the port city " Cattigara " described by Ptolemy in his Geography ( c.  150 AD ) as lying east of the Golden Chersonese ( Malay Peninsula ) along the Magnus Sinus (i.e. the Gulf of Thailand and South China Sea ), where

21605-450: Was persuaded by Cao Cao (155–220 AD), then Governor of Yan Province in modern western Shandong and eastern Henan , to move the capital to Xuchang in 196 AD. Yuan Shao challenged Cao Cao for control over the emperor. Yuan's power was greatly diminished after Cao defeated him at the Battle of Guandu in 200 AD. After Yuan died, Cao killed Yuan Shao's son Yuan Tan (173–205 AD), who had fought with his brothers over

21754-595: Was reinstated when it was bestowed on Ban Chao. Foreign travellers to the Eastern Han empire included Buddhist monks who translated works into Chinese , such as An Shigao from Parthia, and Lokaksema from Kushan-era Gandhara . In addition to tributary relations with the Kushans, the Han empire received gifts from sovereigns in the Parthian Empire , as well as from kings in modern Burma and Japan . He also initiated an unsuccessful mission to Rome in AD 97 with Gan Ying as emissary. A Roman embassy of Emperor Marcus Aurelius ( r.  161–180 AD )

21903-412: Was subsequently suspended for three weeks by The Football Association . In Japan, researchers have taught chimpanzees to identify winning hands according to the rules of rock paper scissors. In many games, it is common for a group of possible choices to interact in a rock paper scissors style, where each selection is strong against a particular choice, but weak against another. Such mechanics can make

22052-413: Was then forced to commit suicide. Students from the imperial university organized a widespread student protest against the eunuchs of Emperor Huan's court. Huan further alienated the bureaucracy when he initiated grandiose construction projects and hosted thousands of concubines in his harem at a time of economic crisis. Palace eunuchs imprisoned the official Li Ying ( 李膺 ) and his associates from

22201-399: Was troubled about the abundant Han-manufactured iron weapons traded to the Xiongnu along the northern borders, and he established a trade embargo against the group. In retaliation, the Xiongnu invaded what is now Shanxi , where they defeated the Han forces at Baideng in 200 BC. After negotiations, the heqin agreement in 198 BC nominally held the leaders of the Xiongnu and

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