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35-472: The purpose of the Eurocodes is to provide: By March 2010, the Eurocodes are mandatory for the specification of European public works and are intended to become the de facto standard for the private sector. The Eurocodes therefore replace the existing national building codes published by national standard bodies (e.g. BS 5950 ), although many countries had a period of co-existence. Additionally, each country

70-526: A Part 2 covering design of bridges. These Parts 2 should be used in combination with the appropriate general Parts (Parts 1). De facto standard A de facto standard is a custom or convention that is commonly used even though its use is not required. De facto is a Latin phrase (literally " of fact "), here meaning "in practice but not necessarily ordained by law" or "in practice or actuality, but not officially established". A de facto standard contrasts an international standard which

105-418: A coordination game is choosing the sides of the road upon which to drive, a social standard which can save lives if it is widely adhered to. In a simplified example, assume that two drivers meet on a narrow dirt road. Both have to swerve in order to avoid a head-on collision. If both execute the same swerving maneuver they will manage to pass each other, but if they choose differing maneuvers they will collide. In

140-494: A driver could take U.S. Route 101 or Interstate 280 from San Francisco to San Jose . While 101 is shorter, 280 is considered more scenic, so drivers might have different preferences between the two independent of the traffic flow. But each additional car on either route will slightly increase the drive time on that route, so additional traffic creates negative network externalities, and even scenery-minded drivers might opt to take 101 if 280 becomes too crowded. A congestion game

175-416: A game is an anti-coordination game if B > A and C > D for row-player 1 (with lowercase analogues b > d and c > a for column-player 2). {Down, Left} and {Up, Right} are the two pure Nash equilibria. Chicken also requires that A > C, so a change from {Up, Left} to {Up, Right} improves player 2's payoff but reduces player 1's payoff, introducing conflict. This counters

210-402: A payoff based on their individual performance as well as a bonus that was weighted by the number of errors accumulated by their worst performing team member. Players also had the option to purchase more time, the cost of doing so was subtracted from their payoff. While groups initially failed to coordinate, researchers observed about 80% of the groups in the experiment coordinated successfully when

245-404: A riskier option when the difference between taking the risk or the safe option is smaller. The laboratory results suggest that coordination failure is a common phenomenon in the setting of order-statistic games and stag-hunt games. Coordination games are closely linked to the economic concept of externalities , and in particular positive network externalities , the benefit reaped from being in

280-410: A standard by market forces and competition , in a two-sided market , after a dispute . Examples: An example of an ongoing dispute is OASIS 's OpenDocument format vs Microsoft's Office Open XML format. Coordination problem A coordination game is a type of simultaneous game found in game theory . It describes the situation where a player will earn a higher payoff when they select

315-409: A voluntary standard tends to be stable in situations in which all parties can realize mutual gains, but only by making mutually consistent decisions. In contrast, an obligation standard (enforced by law as " de jure standard") is a solution to the prisoner's problem . Coordination games also have mixed strategy Nash equilibria . In the generic coordination game above, a mixed Nash equilibrium

350-468: A voluntary standard that is also a de facto standard is a typical solution to a coordination problem . The choice of a de facto standard tends to be stable in situations in which all parties can realize mutual gains, but only by making mutually consistent decisions. In contrast, an enforced de jure standard is a solution to the prisoner's problem . Examples of some well known de facto standards: There are many examples of de facto consolidation of

385-658: Is a crowding game in networks. The minority game is a game where the only objective for all players is to be part of smaller of two groups. A well-known example of the minority game is the El Farol Bar problem proposed by W. Brian Arthur . A hybrid form of coordination and anti-coordination is the discoordination game , where one player's incentive is to coordinate while the other player tries to avoid this. Discoordination games have no pure Nash equilibria. In Figure 1, choosing payoffs so that A > B, C < D, while a < b, c > d, creates

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420-421: Is defined by an organization such as International Standards Organization , or a standard required by law (also known as de jure standards ). Joint technical committee on information technology (ISO/IEC JTC1) developed a procedure in order for de facto standards to be processed through the formal standardization system to be transformed into international standards from ISO and IEC . In social sciences

455-410: Is expected to issue a National Annex to the Eurocodes which will need referencing for a particular country (e.g. The UK National Annex). At present, take-up of Eurocodes is slow on private sector projects and existing national codes are still widely used by engineers. The motto of the Eurocodes is "Building the future" . The second generation of the Eurocodes (2G Eurocodes) is being prepared. In 1975,

490-622: Is given by probabilities p = (d-b)/(a+d-b-c) to play Up and 1-p to play Down for player 1, and q = (D-C)/(A+D-B-C) to play Left and 1-q to play Right for player 2. Since d > b and d-b < a+d-b-c, p is always between zero and one, so existence is assured (similarly for q). In the generic coordination game in Fig. 6, a mixed Nash equilibrium is given by the probabilities: p = (d-b)/(a+d-b-c), to play Option A and 1-p to play Option B for player 1, and q = (D-C)/(A+D-B-C), to play A and 1-q to play B for player 2. If we look at Fig 1. and apply

525-432: Is not true for all coordination games, as the assurance game in Fig. 3 shows. An assurance game describes the situation where neither player can offer a sufficient amount if they contribute alone, thus player 1 should defect from playing if player 2 defects. However, if Player 2 opts to contribute then player 1 should contribute also. An assurance game is commonly referred to as a “ stag hunt ” (Fig.5), which represents

560-400: Is originally due to Jean-Jacques Rousseau . This is different in another type of coordination game commonly called battle of the sexes (or conflicting interest coordination), as seen in Fig. 4. In this game both players prefer engaging in the same activity over going alone, but their preferences differ over which activity they should engage in. Assume that a couple argues over what to do on

595-698: The Commission of the European Community (presently the European Commission), decided on an action programme in the field of construction, based on article 95 of the Treaty. The objective of the programme was to eliminate technical obstacles to trade and the harmonisation of technical specifications. Within this action programme, the Commission took the initiative to establish a set of harmonised technical rules for

630-471: The Stag hunt , in which {Stag,Stag} has higher payoffs, but {Hare,Hare} is safer). Coordination games have been studied in laboratory experiments. One such experiment by Bortolotti, Devetag, and Andreas Ortmann was a weak-link experiment in which groups of individuals were asked to count and sort coins in an effort to measure the difference between individual and group incentives. Players in this experiment received

665-423: The payoff matrix in Fig. 2, successful passing is represented by a payoff of 8, and a collision by a payoff of 0. In this case there are two pure Nash equilibria: either both swerve to the left, or both swerve to the right. In this example, it doesn't matter which side both players pick, as long as they both pick the same. Both solutions are Pareto efficient . This game is called a pure coordination game . This

700-602: The 1980s. In 1989, the Commission and the member states of the EU and the European Free Trade Association (EFTA) decided, on the basis of an agreement between the Commission and to transfer the preparation and the publication of the Eurocodes to the European Committee for Standardization (CEN) through a series of mandates, in order to provide them with a future status of European Standard (EN). This links de facto

735-555: The Eurocodes with the provisions of all the Council's Directives and/or Commission's Decisions dealing with European standards (e.g. Regulation (EU) No. 305/2011 on the marketing of construction products and Directive 2014/24/EU on government procurement in the European Union ). The Eurocodes are published as a separate European Standards , each having a number of parts. By 2002, ten sections have been developed and published: Each of

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770-406: The activity itself. Unlike the other forms of coordination games described previously, knowing your opponent’s strategy won’t help you decide on your course of action. Due to this there is a possibility that an equilibrium will not be reached. In social sciences , a voluntary standard (when characterized also as de facto standard ) is a typical solution to a coordination problem. The choice of

805-534: The codes (except EN 1990) is divided into a number of Parts covering specific aspects of the subject. In total there are 58 EN Eurocode parts distributed in the ten Eurocodes (EN 1990 – 1999). All of the EN Eurocodes relating to materials have a Part 1-1 which covers the design of buildings and other civil engineering structures and a Part 1-2 for fire design. The codes for concrete, steel, composite steel and concrete, and timber structures and earthquake resistance have

840-481: The design of construction works which, in a first would serve as an alternative to the national rules in force in the member states of the European Union (EU) and, ultimately, would replace them. For fifteen years, the Commission, with the help of a steering committee with representatives of the member states, conducted the development of the Eurocodes programme, which led to the first generation of European codes in

875-445: The following scenario. Two hunters can choose to either hunt a stag together (which provides the most economically efficient outcome) or they can individually hunt a Rabbit. Hunting Stags is challenging and requires cooperation. If the two hunters do not cooperate the chances of success is minimal. Thus, the scenario where both hunters choose to coordinate will provide the most beneficial output for society. A common problem associated with

910-427: The game was repeated. When academics talk about coordination failure, most cases are that subjects achieve risk dominance rather than payoff dominance. Even when payoffs are better when players coordinate on one equilibrium, many times people will choose the less risky option where they are guaranteed some payoff and end up at an equilibrium that has sub-optimal payoff. Players are more likely to fail to coordinate on

945-528: The need for solution to coordination problems. Often we are confronted with circumstances where we must solve coordination problems without the ability to communicate with our partner. Many authors have suggested that particular equilibria are focal for one reason or another. For instance, some equilibria may give higher payoffs , be naturally more salient , may be more fair , or may be safer . Sometimes these refinements conflict, which makes certain coordination games especially complicated and interesting (e.g.

980-459: The players expect (Down, Right), player 1 thinks their payoff would fall from 2 to 1 if they deviated to Up, and player 2 thinks their payoff would fall from 4 to 3 if they chose Left. A player's optimal move depends on what they expect the other player to do, and they both do better if they coordinate than if they played an off-equilibrium combination of actions. This setup can be extended to more than two strategies or two players. A typical case for

1015-401: The pure Nash equilibria, the mixed equilibrium is not an evolutionarily stable strategy (ESS). The mixed Nash equilibrium is also Pareto dominated by the two pure Nash equilibria (since the players will fail to coordinate with non-zero probability), a quandary that led Robert Aumann to propose the refinement of a correlated equilibrium . Games like the driving example above have illustrated

1050-456: The same network as other agents. Conversely, game theorists have modeled behavior under negative externalities where choosing the same action creates a cost rather than a benefit. The generic term for this class of game is anti-coordination game . The best-known example of a 2-player anti-coordination game is the game of Chicken (also known as Hawk-Dove game ). Using the payoff matrix in Figure 1,

1085-490: The same course of action as another player. The game is not one of pure conflict, which results in multiple pure strategy Nash equilibria in which players choose matching strategies. Figure 1 shows a 2-player example. Both (Up, Left) and (Down, Right) are Nash equilibria. If the players expect (Up, Left) to be played, then player 1 thinks their payoff would fall from 2 to 1 if they deviated to Down, and player 2 thinks their payoff would fall from 4 to 3 if they chose Right. If

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1120-417: The same probability equations we obtain the following results: p = (4-3) / (4+4-3-3) = ½ and, q = (2-1) / (2+2-1-1) = ½ The reaction correspondences for 2×2 coordination games are shown in Fig. 7. The pure Nash equilibria are the points in the bottom left and top right corners of the strategy space, while the mixed Nash equilibrium lies in the middle, at the intersection of the dashed lines. Unlike

1155-415: The stag hunt is the amount of trust required to achieve this output. Fig. 5 shows a situation in which both players (hunters) can benefit if they cooperate (hunting a stag). As you can see, cooperation might fail, because each hunter has an alternative which is safer because it does not require cooperation to succeed (hunting a hare). This example of the potential conflict between safety and social cooperation

1190-421: The standard coordination game setup, where all unilateral changes in a strategy lead to either mutual gain or mutual loss. The concept of anti-coordination games has been extended to multi-player situation. A crowding game is defined as a game where each player's payoff is non-increasing over the number of other players choosing the same strategy (i.e., a game with negative network externalities). For instance,

1225-430: The weekend. Both know that they will increase their utility by spending the weekend together, however the man prefers to watch a football game and the woman prefers to go shopping. Since the couple want to spend time together, they will derive no utility by doing an activity separately. If they go shopping, or to football game one person will derive some utility by being with the other person, but won’t derive utility from

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