FACTOID # 106: Americans are 15% more innovative than the Japanese. But in percentage terms, the Japanese grant 3.5 times more patents.
 
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Encyclopedia > Dynamic game
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In game theory, a sequential game is a game where one player chooses his action before the others chooses theirs. Importantly, the later players must have some information of the first's choice, otherwise the difference in time would have no strategic effect. Extensive form representations are usually used for sequential games, since they explicitly illustrate the sequential aspects of a game. Jump to: navigation, search Game theory is a branch of applied mathematics that studies strategic situations where players choose different actions in an attempt to maximize their returns. ... An extensive form game is a specification of a game in game theory. ...


Sequential games are often solved by backward induction. In game theory, backward induction is one of dynamic programming algorithms used to compute subgame perfect equilibria in sequential games. ...

Topics in game theory
Definitions: Normal form game - Extensive form game - Cooperative game - Information set - Strategy - Mixed strategy - Preference
Equilibrium concepts: Relations between equilibrium concepts - Dominant strategy equilibrium - Nash equilibrium - Subgame-perfect Nash equilibrium - Bayes-Nash equilibrium - Perfect Bayes-Nash equilibrium - Sequential equiliibrium - Equilibrium refinements - Evolutionarily stable strategy
Classes of games: Static game - Dynamic game - Repeated game - Signaling game - Cheap talk - Zero-sum game - Mechanism design
Types of equilibria: Pooling equilibrium - Separating equilibrium - Winner's curse - Incentive compatible
Games: Prisoner's dilemma - Chicken - Stag hunt - Ultimatum game - Matching pennies - Minority Game - Rock, Paper, Scissors - ...
Theorems: Existence of Nash equilibria - Revelation principle - Minimax theorem - Purification theorems - Folk theorem of repeated games
Related topics: Mathematics - Economics - Behavioral economics - Evolutionary biology - Evolutionary game theory - Population genetics - Behavioral ecology - List of game theorists
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Game theory - Wikipedia, the free encyclopedia (3835 words)
Game theory is a branch of applied mathematics that studies strategic situations where players choose different actions in an attempt to maximize their returns.
Game theorists may assume players always act rationally to maximize their wins (the Homo economicus model), but real humans often act either irrationally, or act rationally to maximize the wins of some larger group of people (altruism).
Game theory experienced a flurry of activity in the 1950s, during which time the concepts of the core, the extensive form game, fictitious play, repeated games, and the Shapley value were developed.
  More results at FactBites »


 
 

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