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Self-enforcing Agreement
A self-enforcing agreement is an agreement that is enforced only by the parties to it; no external party can enforce or interfere with the agreement. (In this respect it differs from an enforceable contract.) The agreement will stand so long as the parties believe it is mutually beneficial and it is not breached by any party. In game theory, games in which cooperative behaviour can only be enforced through self-enforcing agreements are called non-cooperative games, whereas games allowing strategies relying on external enforcement are called cooperative games. Nash equilibrium In game theory, the Nash equilibrium is the most commonly used solution concept for non-cooperative games. A Nash equilibrium is a situation where no player could gain by changing their own strategy (holding all other players' strategies fixed) ... is the most common kind of self-enforcing agreement. References Agreements Game theory equilibrium concepts {{business-term-stub ...
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Contract
A contract is an agreement that specifies certain legally enforceable rights and obligations pertaining to two or more parties. A contract typically involves consent to transfer of goods, services, money, or promise to transfer any of those at a future date. The activities and intentions of the parties entering into a contract may be referred to as contracting. In the event of a breach of contract, the injured party may seek judicial remedies such as damages or equitable remedies such as specific performance or rescission. A binding agreement between actors in international law is known as a treaty. Contract law, the field of the law of obligations concerned with contracts, is based on the principle that agreements must be honoured. Like other areas of private law, contract law varies between jurisdictions. In general, contract law is exercised and governed either under common law jurisdictions, civil law jurisdictions, or mixed-law jurisdictions that combine elem ...
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Game Theory
Game theory is the study of mathematical models of strategic interactions. It has applications in many fields of social science, and is used extensively in economics, logic, systems science and computer science. Initially, game theory addressed two-person zero-sum games, in which a participant's gains or losses are exactly balanced by the losses and gains of the other participant. In the 1950s, it was extended to the study of non zero-sum games, and was eventually applied to a wide range of Human behavior, behavioral relations. It is now an umbrella term for the science of rational Decision-making, decision making in humans, animals, and computers. Modern game theory began with the idea of mixed-strategy equilibria in two-person zero-sum games and its proof by John von Neumann. Von Neumann's original proof used the Brouwer fixed-point theorem on continuous mappings into compact convex sets, which became a standard method in game theory and mathematical economics. His paper was f ...
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Non-cooperative Game Theory
In game theory, a non-cooperative game is a game in which there are no external rules or binding agreements that enforce the cooperation of the players. A non-cooperative game is typically used to model a competitive environment. This is stated in various accounts most prominent being John Nash's 1951 paper in the journal ''Annals of Mathematics''. Counterintuitively, non-cooperative game models can be used to model cooperation as well, and vice versa, cooperative game theory can be used to model competition. Some examples of this would be the use of non-cooperative game models in determining the stability and sustainability of cartels and coalitions. The difference between cooperative and non-cooperative game theory According to Nash, the difference between cooperative game theory and non-cooperative game theory is that “(cooperative game) theory is based on an analysis of the interrelationships of the various coalitions which can be formed by the players of the game. Our (no ...
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Cooperative Game Theory
In game theory, a cooperative game (or coalitional game) is a game with groups of players who form binding “coalitions” with external enforcement of cooperative behavior (e.g. through contract law). This is different from non-cooperative games in which there is either no possibility to forge alliances or all agreements need to be self-enforcing (e.g. through credible threats). Cooperative games are analysed by focusing on coalitions that can be formed, and the joint actions that groups can take and the resulting collective payoffs. Mathematical definition A cooperative game is given by specifying a value for every coalition. Formally, the coalitional game consists of a finite set of players N , called the ''grand coalition'', and a ''characteristic function'' v : 2^N \to \mathbb from the set of all possible coalitions of players to a set of payments that satisfies v( \emptyset ) = 0 . The function describes how much collective payoff a set of players can gain by ...
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Nash Equilibrium
In game theory, the Nash equilibrium is the most commonly used solution concept for non-cooperative games. A Nash equilibrium is a situation where no player could gain by changing their own strategy (holding all other players' strategies fixed). The idea of Nash equilibrium dates back to the time of Cournot, who in 1838 applied it to his model of competition in an oligopoly. If each player has chosen a strategy an action plan based on what has happened so far in the game and no one can increase one's own expected payoff by changing one's strategy while the other players keep theirs unchanged, then the current set of strategy choices constitutes a Nash equilibrium. If two players Alice and Bob choose strategies A and B, (A, B) is a Nash equilibrium if Alice has no other strategy available that does better than A at maximizing her payoff in response to Bob choosing B, and Bob has no other strategy available that does better than B at maximizing his payoff in response to Alice c ...
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Agreements
Agreement may refer to: Agreements between people and organizations * Gentlemen's agreement, not enforceable by law * Trade agreement, between countries * Consensus (other), a decision-making process * Contract, enforceable in a court of law ** Meeting of the minds (a.k.a. mutual agreement), a common understanding in the formation of a contract * Pact, convention, or treaty between nations, sub-national entities, organizations, corporations Arts and media *''Agreement'', a 1978 book of poetry by Peter Seaton * ''Agreement'' (film), a 1980 Bollywood film Science and mathematics * Agreement (linguistics) or ''concord'', a change in the form of a word depending on grammatical features of another word * Consistency, logical agreement between two or more propositions * Reliability (statistics) in the sense of, for example, inter-rater agreement Other uses * Agreement (political party), a Polish political party * Operation Agreement, a British 1942 military operation during ...
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