Game Theory

  1. Advanced Concepts
    1. Repeated Games
      1. Definition and Characteristics
        1. Infinite Horizon vs. Finite Horizon
          1. Strategies in Repeated Games
          2. Discounted Repeated Games
            1. Discount Factor
              1. Present Value of Payoffs
                1. Implications of Low vs. High Discounting
                2. Folk Theorems
                  1. Conditions for the Theorem
                    1. Implications for Cooperation and Defection
                      1. Applications and Examples
                    2. Evolutionary Game Theory
                      1. Foundations and Principles
                        1. Darwinian Evolutionary Perspective
                          1. Population Dynamics
                          2. Evolutionarily Stable Strategies (ESS)
                            1. Definition and Properties
                              1. Stability Analysis
                                1. Examples in Natural and Human Systems
                                2. Replicator Dynamics
                                  1. Basic Equations
                                    1. Equilibrium States
                                      1. Applications in Biology and Economics
                                    2. Mechanism Design
                                      1. Fundamental Concepts
                                        1. Reverse Game Theory
                                          1. Social Choice Functions
                                          2. Incentive Compatibility
                                            1. Types: Ex-ante, Interim, Ex-post
                                              1. Incentive-Compatible Mechanisms
                                                1. Applications in Auction and Voting Design
                                                2. Revelation Principle
                                                  1. Truthful Reporting
                                                    1. Direct Revelation Mechanisms
                                                      1. Limitations and Extensions
                                                    2. Auction Theory
                                                      1. Types of Auctions
                                                        1. English Auction
                                                          1. Dutch Auction
                                                            1. First-Price Sealed-Bid Auction
                                                              1. Second-Price (Vickrey) Auction
                                                              2. Bidding Strategies
                                                                1. Strategic Equilibrium Bidding
                                                                  1. Risk Aversion and Bid Adjustments
                                                                  2. Revenue Equivalence
                                                                    1. The Revenue Equivalence Theorem
                                                                      1. Assumptions and Contexts
                                                                        1. Deviations from Equivalence and Their Causes
                                                                        2. Complex Auction Formats
                                                                          1. Combinatorial Auctions
                                                                            1. Multi-Unit Auctions
                                                                              1. Spectrum Auctions and Their Unique Challenges
                                                                          4. Important Game Theoretical Models
                                                                          First Page
                                                                          6. Applications of Game Theory