Contents
Wiley Series in Operations Research and Management Science
Preface for the Second Edition
Chapter One: Matrix Two-Person Games
1.2 The von Neumann Minimax Theorem
1.4 Solving 2 × 2 Games Graphically
1.5 Graphical Solution of 2 × m and n × 2 Games
Chapter Two: Solution Methods for Matrix Games
2.1 Solution of Some Special Games
2.4 Matrix Games and Linear Programming
2.5 Appendix: Linear Programming and the Simplex Method
Chapter Three: Two-Person Nonzero Sum Games
3.2 2 × 2 Bimatrix Games, Best Response, Equality of Payoffs
3.3 Interior Mixed Nash Points by Calculus
3.4 Nonlinear Programming Method for Nonzero Sum Two-Person Games
3.6 Choosing Among Several Nash Equilibria (Optional)
Chapter Four: Games in Extensive Form: Sequential Decision Making
4.1 Introduction to Game Trees—Gambit
4.2 Backward Induction and Subgame Perfect Equilibrium
Chapter Five: N-Person Nonzero Sum Games and Games with a Continuum of Strategies
5.2 Economics Applications of Nash Equilibria
Chapter Six: Cooperative Games
6.1 Coalitions and Characteristic Functions
Chapter Seven: Evolutionary Stable Strategies and Population Games
Appendix A: The Essentials of Matrix Analysis
Appendix B: The Essentials of Probability
Appendix C: The Essentials of Maple
C.3 Some Commands Used in This Book
Appendix D: The Mathematica Commands
D.1 The Upper and Lower Values of a Game
D.2 The Value of an Invertible Matrix Game with Mixed Strategies
D.3 Solving Matrix Games by Linear Programming
D.5 Lemke–Howson Algorithm for Nash Equilibrium
D.7 Find and Plot the Least Core
D.8 Nucleolus and Shapley Value Procedure