Solutions Manual to Accompany Game Theory: An Introduction, 2nd Edition

Contents

FOREWORD

1  MATRIX TWO-PERSON GAMES

1.1  The Basics,

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,

1.6  Best Response Strategies,

2  SOLUTION METHODS FOR MATRIX GAMES

2.1  Solution of Some Special Games,

2.2  Invertible Matrix Games,

2.3  Symmetric Games,

2.4  Matrix Games and Linear Programming,

2.5  Appendix: Linear Programming and the Simplex Method,

2.6  Review Problems,

3  TWO-PERSON NONZERO SUM GAMES

3.1  The Basics,

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,

3.5  Correlated Equilibria,

3.6  Choosing Among Several Nash Equilibria,

4  GAMES IN EXTENSIVE FORM: SEQUENTIAL DECISION MAKING

4.1  Introduction to Game Trees—Gambit,

4.2  Backward Induction and Subgame Perfect Equilibrium,

4.2.2  Examples of Extensive Games Using Gambit,

5  N-PERSON NONZERO SUM GAMES AND GAMES WITH A CONTINUUM OF STRATEGIES

5.1  The Basics,

5.2  Economics Applications of Nash Equilibria,

5.3  Duels,

5.4  Auctions,

5.4.1  Complete Information,

5.4.2  Incomplete Information,

6  COOPERATIVE GAMES

6.1  Coalitions and Characteristic Functions,

6.1.1  More on the Core and Least Core,

6.2  The Nucleolus,

6.3  The Shapley Value,

6.4  Bargaining,

Review Problems,

7  EVOLUTIONARY STABLE STRATEGIES AND POPULATION GAMES

7.1  Evolution,

7.2  Population Games,

APPENDIX: THE MAIN DEFINITIONS AND ...