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Pattern

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Extensive Form Games

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Payoffs

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The leaves of the tree represent the culmination of actions and carry the payoffs for each player.

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Players and Information Sets

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Each node is assigned to a player. Information sets group nodes together when a player cannot distinguish between them due to imperfect information.

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Tree Representation

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Extensive form games are represented by a decision tree that denotes players, actions, and outcomes at different points in time.

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Order of Play

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The game is played in a sequence of moves, reflecting the order in which players make decisions.

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Subgames

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A subgame consists of every decision node following a particular node and must include all the descendant nodes of this node.

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Backward Induction

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Backward induction is a method used to solve extensive form games where you start from the end of the game and proceed backwards to determine optimal actions.

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Strategies

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A strategy in extensive form games is a complete plan of action that specifies what a player will do at each information set.

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Perfect Information

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In games of perfect information, every player knows the moves previously made by all players.

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Chance Nodes

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Nodes that represent random outcomes and are not controlled by any of the players but rather by probability distributions.

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