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Game theory has come to play an increasingly important role in logic and in computer science. Several logical theories have a basis in game semantics. In addition, computer scientists have used games to model interactive computations. Also, game theory provides a theoretical basis to the field of multi-agent systems. [124]
Similarly, an auction is a game form that takes each bidder's price and maps them to both a winner and a set of payments by the bidders. Often, a game form is a set of rules or institutions designed to implement some normative goal (called a social choice function ), by motivating agents to act in a particular way through an appropriate choice ...
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 .
Game theory is a branch of mathematics that uses models to study interactions with formalized incentive structures ("games"). It has applications in a variety of fields, including economics , evolutionary biology , political science , social psychology and military strategy .
In game theory, an information set represents all possible points (or decision nodes) in a game that a given player might be at during their turn, based on their current knowledge and observations. These nodes are indistinguishable to the player due to incomplete information about previous actions or the state of the game .
Determined game (or Strictly determined game) In game theory, a strictly determined game is a two-player zero-sum game that has at least one Nash equilibrium with both players using pure strategies. [2] [3] Dictator A player is a strong dictator if he can guarantee any outcome regardless of the other players.
A higher-order simultaneous game [4] is a generalization of a Simultaneous game in which players are defined by selection functions rather than by utility functions. Formally, a higher-order simultaneous game for n players contains the following elements: A set R of outcomes. For each player i, a set X i of choices (possible actions).
A classic example of a dynamic game with types is a war game where the player is unsure whether their opponent is a risk-taking "hawk" type or a pacifistic "dove" type. Perfect Bayesian Equilibria are a refinement of Bayesian Nash equilibrium (BNE), which is a solution concept with Bayesian probability for non-turn-based games.