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

Book Description

This solutions manual is a companion to Game Theory: An Introduction, Second Edition. It provides the statements and solutions of all the problems in the book. An Appendix contains the main definitions and theorems in the book.

Table of Contents

  1. Coverpage
  2. Titlepage
  3. Copyright
  4. Dedication
  5. Contents
  6. FOREWORD
  7. 1 MATRIX TWO-PERSON GAMES
    1. 1.1 The Basics,
    2. 1.2 The von Neumann Minimax Theorem,
    3. 1.4 Solving 2 × 2 Games Graphically,
    4. 1.5 Graphical Solution of 2 × m and n × 2 Games,
    5. 1.6 Best Response Strategies,
  8. 2 SOLUTION METHODS FOR MATRIX GAMES
    1. 2.1 Solution of Some Special Games,
    2. 2.2 Invertible Matrix Games,
    3. 2.3 Symmetric Games,
    4. 2.4 Matrix Games and Linear Programming,
    5. 2.5 Appendix: Linear Programming and the Simplex Method,
    6. 2.6 Review Problems,
  9. 3 TWO-PERSON NONZERO SUM GAMES
    1. 3.1 The Basics,
    2. 3.2 2 × 2 Bimatrix Games, Best Response, Equality of Payoffs,
    3. 3.3 Interior Mixed Nash Points by Calculus,
    4. 3.4 Nonlinear Programming Method for Nonzero Sum Two-Person Games,
    5. 3.5 Correlated Equilibria,
    6. 3.6 Choosing Among Several Nash Equilibria,
  10. 4 GAMES IN EXTENSIVE FORM: SEQUENTIAL DECISION MAKING
    1. 4.1 Introduction to Game Trees—Gambit,
    2. 4.2 Backward Induction and Subgame Perfect Equilibrium,
      1. 4.2.2 Examples of Extensive Games Using Gambit,
  11. 5 N-PERSON NONZERO SUM GAMES AND GAMES WITH A CONTINUUM OF STRATEGIES
    1. 5.1 The Basics,
    2. 5.2 Economics Applications of Nash Equilibria,
    3. 5.3 Duels,
    4. 5.4 Auctions,
      1. 5.4.1 Complete Information,
      2. 5.4.2 Incomplete Information,
  12. 6 COOPERATIVE GAMES
    1. 6.1 Coalitions and Characteristic Functions,
      1. 6.1.1 More on the Core and Least Core,
    2. 6.2 The Nucleolus,
    3. 6.3 The Shapley Value,
    4. 6.4 Bargaining,
      1. Review Problems,
  13. 7 EVOLUTIONARY STABLE STRATEGIES AND POPULATION GAMES
    1. 7.1 Evolution,
    2. 7.2 Population Games,
  14. APPENDIX: THE MAIN DEFINITIONS AND THEOREMS
    1. A MATRIX TWO-PERSON GAMES
    2. B SOLUTION METHODS FOR MATRIX GAMES
    3. C TWO-PERSON NONZERO SUM GAMES
    4. D GAMES IN EXTENSIVE FORM: SEQUENTIAL DECISION MAKING
    5. E N-PERSON NONZERO SUM GAMES AND GAMES WITH A CONTINUUM OF STRATEGIES
    6. F COOPERATIVE GAMES
    7. G EVOLUTIONARY STABLE STRATEGIES AND POPULATION GAMES
  15. INDEX