normal form game

normal form game
Formally, a structure where P = 1,2, ...,m is a set of players, is an m-tuple of pure strategy sets, one for each player, and is an m-tuple of payoff functions. <! If someone can turn the math to inline math, please do it.
See Also: extensive form game, characteristic function form

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  • Normal-form game — In game theory, normal form is a way of describing a game. Unlike extensive form, normal form representations are not graphical per se, but rather represent the game by way of a matrix. While this approach can be of greater use in identifying… …   Wikipedia

  • Normal form — may refer to: Normal form (abstract rewriting) Normal form (databases) Normal form (game theory) Normal form (mathematics) In formal language theory: Beta normal form Chomsky normal form Greibach normal form Kuroda normal form Normal form… …   Wikipedia

  • extensive form game — noun Informally, a representation of a game as a tree of decision nodes, with the game beginning at a unique initial node, and flowing through the tree along a path determined by the players until a terminal node is reached, where play ends and… …   Wiktionary

  • Extensive-form game — An extensive form game is a specification of a game in game theory. This form represents the game as a tree. Each node (called a decision node) represents every possible state of play of the game as it is played. Play begins at a unique initial… …   Wikipedia

  • normal form — noun a) Any of various forms of a relational database providing criteria for determining a tables degree of vulnerability to logical inconsistencies and anomalies. b) A matrix that represents the possible outcomes of a game …   Wiktionary

  • Game theory — is a branch of applied mathematics that is used in the social sciences (most notably economics), biology, engineering, political science, computer science (mainly for artificial intelligence), and philosophy. Game theory attempts to… …   Wikipedia

  • game theory — a mathematical theory that deals with strategies for maximizing gains and minimizing losses within prescribed constraints, as the rules of a card game: widely applied in the solution of various decision making problems, as those of military… …   Universalium

  • Glossary of game theory — Game theory is the branch of mathematics in which games are studied: that is, models describing human behaviour. This is a glossary of some terms of the subject. Definitions of a game Notational conventions ; Real numbers : mathbb{R} .; The set… …   Wikipedia

  • Canonical form — Generally, in mathematics, a canonical form (often called normal form or standard form) of an object is a standard way of presenting that object. Canonical form can also mean a differential form that is defined in a natural (canonical) way; see… …   Wikipedia

  • Game localisation — refers to the preparation of video games for other locales. This adaptation to the standards of other countries covers far more than simply translation of language. There are different areas, such as linguistic, cultural, hardware and software,… …   Wikipedia

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