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Strategy. Game theory is the study of mathematical models of strategic interactions. [1] It has applications in many fields of social science, and is used extensively in economics, logic, systems science and computer science. [2] Initially, game theory addressed two-person zero-sum games, in which a participant's gains or losses are exactly ...
Perfect information: A game has perfect information if it is a sequential game and every player knows the strategies chosen by the players who preceded them. Constant sum: A game is a constant sum game if the sum of the payoffs to every player are the same for every single set of strategies. In these games, one player gains if and only if ...
Strategy (game theory) Superset of. Rationalizable strategy. Significance. Used for. Prisoner's dilemma. In game theory, a dominant strategy is a strategy that is better than any other strategy for one player, no matter how that player's opponent will play. Some very simple games can be solved using dominance.
In applied game theory, the definition of the strategy sets is an important part of the art of making a game simultaneously solvable and meaningful. The game theorist can use knowledge of the overall problem, that is the friction between two or more players, to limit the strategy spaces, and ease the solution. For instance, strictly speaking in ...
Glossary. is a game form such that for every possible preference profiles, the game has pure nash equilibria, all of which are pareto efficient. is a function . The allocation is a cardinal approach for determining the good (e.g. money) the players are granted under the different outcomes of the game.
Traditional game theory is a primarily normative theory as it seeks to pinpoint the decision that rational players should choose, but does not attempt to explain why that decision was made. [14] Rationality is a primary assumption of game theory, so there are not explanations for different forms of rational decisions or irrational decisions.
Proposed by. John Forbes Nash Jr. Used for. All non-cooperative games. 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). [1]
Prisoner's dilemma. The prisoner's dilemma is a game theory thought experiment involving two rational agents, each of whom can either cooperate for mutual benefit or betray their partner ("defect") for individual gain. The dilemma arises from the fact that while defecting is rational for each agent, cooperation yields a higher payoff for each.