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Information set (game theory)

Index Information set (game theory)

In game theory, an information set is a set that, for a particular player, establishes all the possible moves that could have taken place in the game so far, given what that player has observed. [1]

11 relations: Battle of the sexes (game theory), Extensive-form game, Game theory, John von Neumann, Nash equilibrium, Perfect information, Poker, Self-confirming equilibrium, Simultaneous game, Strategy (game theory), Subgame perfect equilibrium.

Battle of the sexes (game theory)

In game theory, battle of the sexes (BoS) is a two-player coordination game.

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Extensive-form game

An extensive-form game is a specification of a game in game theory, allowing (as the name suggests) for the explicit representation of a number of key aspects, like the sequencing of players' possible moves, their choices at every decision point, the (possibly imperfect) information each player has about the other player's moves when they make a decision, and their payoffs for all possible game outcomes.

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Game theory

Game theory is "the study of mathematical models of conflict and cooperation between intelligent rational decision-makers".

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John von Neumann

John von Neumann (Neumann János Lajos,; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, and polymath.

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Nash equilibrium

In game theory, the Nash equilibrium, named after American mathematician John Forbes Nash Jr., is a solution concept of a non-cooperative game involving two or more players in which each player is assumed to know the equilibrium strategies of the other players, and no player has anything to gain by changing only their own strategy.

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Perfect information

In economics, perfect information is a feature of perfect competition.

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Poker

Poker is a family of card games that combines gambling, strategy, and skill.

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Self-confirming equilibrium

In game theory, self-confirming equilibrium is a generalization of Nash equilibrium for extensive form games, in which players correctly predict the moves their opponents make, but may have misconceptions about what their opponents would do at information sets that are never reached when the equilibrium is played.

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Simultaneous game

In game theory, a simultaneous game is a game where each player chooses his action without knowledge of the actions chosen by other players.

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Strategy (game theory)

In game theory, a player's strategy is any of the options he or she can choose in a setting where the outcome depends not only on his own actions but on the action of others.

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Subgame perfect equilibrium

In game theory, a subgame perfect equilibrium (or subgame perfect Nash equilibrium) is a refinement of a Nash equilibrium used in dynamic games.

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References

[1] https://en.wikipedia.org/wiki/Information_set_(game_theory)

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