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Game Theory: History & Applications
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Module 2
Extending the Model: Uncertainty and Sequentiality
1
Mixed Strategies and Expected Payoffs
Define mixed strategies and compute expected payoffs for mixed strategy profiles.
2
Mixed Strategy Nash Equilibrium in 2x2 Games
Compute the mixed strategy Nash Equilibrium in 2x2 games using the principle of indifference.
3
Nash's Existence Theorem and Its Significance in Finite Games
State Nash's Existence Theorem and explain its significance for the analysis of finite games.
4
Extensive Form Representation of Sequential Games
Represent sequential games in extensive form using game trees, nodes, and edges.
5
Information Sets in Extensive-Form Games
Define perfect and imperfect information in extensive-form games using the concept of information sets.
6
Extensive-Form Games with Information Sets
Model a simultaneous-move game (e.g., Rock-Paper-Scissors) in extensive form using an information set.
7
Finding SPNE with Backward Induction
Define Subgame Perfect Nash Equilibrium (SPNE) and apply backward induction to find it in finite games of perfect information.
8
Backward Induction in the Ultimatum and Centipede Games
Analyze the Ultimatum Game and the Centipede Game to understand the power and limitations of backward induction.
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Foundations: Strategic Reasoning and Equilibrium
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