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v. t. e. 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 ...
Sequential game: A game is sequential if one player performs their actions after another player; otherwise, the game is a simultaneous move game. 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 ...
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]
1629708. Theory of Games and Economic Behavior, published in 1944 [1] by Princeton University Press, is a book by mathematician John von Neumann and economist Oskar Morgenstern which is considered the groundbreaking text that created the interdisciplinary research field of game theory. [2] In the introduction of its 60th anniversary ...
Minimax theorem. In the mathematical area of game theory, a minimax theorem is a theorem providing conditions that guarantee that the max–min inequality is also an equality. The first theorem in this sense is von Neumann 's minimax theorem about zero-sum games published in 1928, [1] which was considered the starting point of game theory.
Zero-sum game. Zero-sum game is a mathematical representation in game theory and economic theory of a situation that involves two competing entities, where the result is an advantage for one side and an equivalent loss for the other. [1] In other words, player one's gain is equivalent to player two's loss, with the result that the net ...
Books about game theory. This is a set category. It should only contain pages that are Books about game theory or lists of Books about game theory, as well as subcategories containing those things (themselves set categories). Topics about Books about game theory in general should be placed in relevant topic categories.
Differential game. In game theory, differential games are a group of problems related to the modeling and analysis of conflict in the context of a dynamical system. More specifically, a state variable or variables evolve over time according to a differential equation. Early analyses reflected military interests, considering two actors—the ...
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