Game Theory

  1. Games with Incomplete Information
    1. Bayesian Games
      1. Types and Private Information
        1. Type Spaces
          1. Private Values
            1. Common Values
            2. Beliefs and Priors
              1. Probability Distributions
                1. Common Prior Assumption
                  1. Updating Rules
                  2. Bayesian Normal Form
                    1. Extended Strategy Sets
                      1. Expected Payoffs
                        1. Interim vs. Ex-Ante Analysis
                      2. Bayesian Nash Equilibrium
                        1. Definition and Properties
                          1. Best Response to Beliefs
                            1. Mutual Consistency
                              1. Existence Results
                              2. Solution Methods
                                1. Type-by-Type Analysis
                                  1. Expected Payoff Calculations
                                    1. Optimization Problems
                                    2. Applications
                                      1. Auction Theory
                                        1. Industrial Organization
                                          1. Political Economy
                                        2. Perfect Bayesian Equilibrium
                                          1. Sequential Rationality
                                            1. Optimal Actions Given Beliefs
                                              1. Dynamic Consistency
                                              2. Belief Consistency
                                                1. Bayes' Rule Application
                                                  1. On and Off Equilibrium Path
                                                  2. Refinements
                                                    1. Weak Perfect Bayesian Equilibrium
                                                      1. Sequential Equilibrium
                                                    2. Signaling Games
                                                      1. Game Structure
                                                        1. Senders and Receivers
                                                          1. Private Information
                                                            1. Observable Actions
                                                            2. Equilibrium Types
                                                              1. Separating Equilibria
                                                                1. Pooling Equilibria
                                                                  1. Semi-Separating Equilibria
                                                                  2. Applications
                                                                    1. Job Market Signaling
                                                                      1. Corporate Finance
                                                                        1. Political Communication
                                                                        2. Refinements
                                                                          1. Intuitive Criterion
                                                                            1. Cho-Kreps Refinement
                                                                          2. Reputation Models
                                                                            1. Incomplete Information About Types
                                                                              1. Reputation Building
                                                                                1. Chain-Store Paradox Resolution
                                                                                  1. Applications in Industrial Organization

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                                                                                6. Dynamic Games and Sequential Decision-Making

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                                                                                8. Cooperative Game Theory