Game Theory

  1. Game Classification and Representation
    1. Classification by Cooperation
      1. Cooperative Games
        1. Coalition Formation
          1. Binding Agreements
            1. Joint Strategy Selection
            2. Non-Cooperative Games
              1. Individual Decision-Making
                1. No Binding Agreements
                  1. Strategic Independence
                2. Classification by Information
                  1. Complete Information Games
                    1. Incomplete Information Games
                      1. Perfect Information Games
                        1. Imperfect Information Games
                        2. Classification by Payoff Structure
                          1. Zero-Sum Games
                            1. Constant-Sum Property
                              1. Strictly Competitive
                                1. Minimax Solutions
                                2. Non-Zero-Sum Games
                                  1. Variable-Sum Property
                                    1. Potential for Mutual Gain
                                      1. Mixed Motives
                                    2. Classification by Timing
                                      1. Static Games
                                        1. Simultaneous Decision-Making
                                          1. Normal Form Representation
                                          2. Dynamic Games
                                            1. Sequential Decision-Making
                                              1. Extensive Form Representation
                                                1. Multi-Stage Games
                                              2. Classification by Symmetry
                                                1. Symmetric Games
                                                  1. Identical Strategy Sets
                                                    1. Payoff Symmetry
                                                    2. Asymmetric Games
                                                      1. Different Roles
                                                        1. Asymmetric Information
                                                      2. Normal Form Representation
                                                        1. Payoff Matrices
                                                          1. Construction Principles
                                                            1. Two-Player Games
                                                              1. Multi-Player Extensions
                                                              2. Strategic Form Elements
                                                                1. Player Set
                                                                  1. Strategy Sets
                                                                    1. Payoff Functions
                                                                    2. Matrix Interpretation
                                                                      1. Row and Column Players
                                                                        1. Cell Entries
                                                                          1. Payoff Ordering
                                                                        2. Extensive Form Representation
                                                                          1. Game Trees
                                                                            1. Nodes and Branches
                                                                              1. Root and Terminal Nodes
                                                                                1. Decision Nodes
                                                                                2. Information Sets
                                                                                  1. Grouping Decision Nodes
                                                                                    1. Perfect Recall
                                                                                      1. Imperfect Information Representation
                                                                                      2. Moves and Actions
                                                                                        1. Available Actions at Nodes
                                                                                          1. Action Labels
                                                                                          2. Payoffs at Terminal Nodes
                                                                                            1. Outcome Assignment
                                                                                              1. Utility Values

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                                                                                          2. Fundamental Elements of Games

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                                                                                          4. Solution Concepts for Static Games