Game Theory

  1. Cooperative Game Theory
    1. Coalition Form Games
      1. Characteristic Functions
        1. Coalition Values
          1. Superadditivity
            1. Convexity
            2. Transferable Utility
              1. Side Payments
                1. Utility Transferability
                2. Core Theory
                  1. Definition and Properties
                    1. Stability Concepts
                      1. Existence Conditions
                        1. Relationship to Competitive Equilibrium
                      2. Solution Concepts
                        1. The Shapley Value
                          1. Axioms
                            1. Efficiency
                              1. Symmetry
                                1. Dummy Player
                                  1. Additivity
                                  2. Calculation Methods
                                    1. Interpretation as Fair Division
                                    2. Nucleolus
                                      1. Lexicographic Minimization
                                        1. Complaint-Based Approach
                                          1. Uniqueness Properties
                                          2. Stable Sets
                                            1. Von Neumann-Morgenstern Solution
                                              1. Domination Relations
                                                1. Internal and External Stability
                                              2. Bargaining Theory
                                                1. Nash Bargaining Solution
                                                  1. Axioms
                                                    1. Pareto Efficiency
                                                      1. Symmetry
                                                        1. Independence of Irrelevant Alternatives
                                                          1. Invariance to Affine Transformations
                                                          2. Unique Solution
                                                          3. Rubinstein Bargaining Model
                                                            1. Alternating Offers
                                                              1. Time Preferences
                                                                1. Subgame Perfect Equilibrium
                                                                  1. Relationship to Nash Solution
                                                                  2. Kalai-Smorodinsky Solution
                                                                    1. Equal Relative Gains
                                                                      1. Monotonicity Property
                                                                    2. Voting Games
                                                                      1. Simple Games
                                                                        1. Winning and Losing Coalitions
                                                                          1. Minimal Winning Coalitions
                                                                          2. Power Indices
                                                                            1. Shapley-Shubik Index
                                                                              1. Banzhaf Index
                                                                                1. Voting Power vs. Voting Weight

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                                                                            7. Games with Incomplete Information

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                                                                            9. Mechanism Design and Implementation