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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]
Mathematically, a game form can be defined as a mapping going from an action space [2] [3] —which describes all the possible moves a player can make—to an outcome space. The action space is also often called a message space when the actions consist of providing information about beliefs or preferences, in which case it is called a direct ...
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 .
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 .
If the game has perfect information, every information set contains only one member, namely the point actually reached at that stage of the game, since each player knows the exact mix of chance moves and player strategies up to the current point in the game. Otherwise, it is the case that some players cannot be sure what the game state is; for ...
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).
Biome-type: grouping of convergent biomes or formations of different continents, defined by physiognomy. Formation-type: a grouping of convergent formations. Whittaker's distinction between biome and formation can be simplified: formation is used when applied to plant communities only, while biome is used when concerned with both plants and ...
To better understand the game tree, it can be thought of as a technique for analyzing adversarial games, which determine the actions that player takes to win the game. In game theory, a game tree is a directed graph whose nodes are positions in a game (e.g., the arrangement of the pieces in a board game) and whose edges are moves (e.g., to move ...