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Extensive Form Games and Subgames - www2 isye gatech

Extensive Form Games and Subgames - www2 isye gatech 2025

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The document discusses concepts in game theory, focusing on extensive form games, subgames, and subgame perfect equilibrium. It covers topics such as information sets, backward induction, and provides examples to illustrate these concepts. The document also critiques the applicability of backward induction and subgame perfection in scenarios with multiple players or repeated moves.

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What is the difference between extensive and strategic form game?

The extensive form of a game conveys more information than the strategic form since it shows a particular sequence of moves timing. This is why every game presented in extensive form can be expressed in a strategic form and analyzed with the methods seen in previous notes.

What is a subgame in extensive-form game?

Definition of a subgame In an extensive form game, a node x is said to initiate a subgame if and only if x and all successors of x are in information sets containing only successors of x. A game where all nodes initiate a subgame is shown.

How to draw the extensive form of a game?

2:52 5:18 Information have three basic pieces. The first piece of a game is a node nodes are used to describeMoreInformation have three basic pieces. The first piece of a game is a node nodes are used to describe points in the game where players have to act.

What is the extensive form of sequential games?

An extensive form game is a sequential game, which includes a set of players, rules around which players can move when, and what they observe and the rewards they receive when they move. In an extensive form game, there are multiple players who can take moves in the game, but not simultaneously.

Is an extensive form representation of a game?

In game theory, an extensive-form game is a specification of a game allowing 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 players moves when they

What is the extensive form of a game tree?

Recall that an extensive-form game can be described by a game tree, consisting of nodes and branches. The tree starts with an initial node and ends at the ter- minal nodes. A branch has a direction associated with it (sometimes drawn with arrows), going from one node to the next node.

Extensive Form Games and Subgames - www2 isye gatech 2025

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Extensive Form Games and Subgames - www2 isye gatech 2025

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What is the difference between extensive and strategic form game?

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How to draw the extensive form of a game?

What is the extensive form of sequential games?

Is an extensive form representation of a game?

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