Game Theory: A Critical Introduction

By Shaun P. Hargreaves Heap; Yanis Varoufakis | Go to book overview

CONTENTS
List of boxesviii
Prefacexi
1 AN OVERVIEW 1
1.1Introduction1
1.2The assumptions of game theory4
1.3Liberal individualism, the State and game theory31
1.4A guide to the rest of the book35
1.5Conclusion39
2 THE ELEMENTS OF GAME THEORY 41
2.1Introduction41
2.2The representation of games and some notation42
2.3Dominance and equilibrium43
2.4Rationalisable beliefs and actions45
2.5Nash strategies and Nash equilibrium solutions51
2.6Games of incomplete information62
2.7Trembling hands and quivering souls64
2.8Conclusion79
3 DYNAMIC GAMES: BACKWARD INDUCTION AND SOME EXTENSIVE FORM REFINEMENTS OF THE NASH EQUILIBRIUM 80
3.1Introduction80
3.2Dynamic games, the extensive form and backward induction81
3.3Subgame perfection82
3.4Backward induction, ‘out of equilibrium’ beliefs and common knowledge instrumental rationality (CKR)87
3.5Sequential equilibria93
3.6Proper equilibria, further refinements and forward induction97
3.7Conclusion100

-v-

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Game Theory: A Critical Introduction
Table of contents

Table of contents

  • Title Page iii
  • Contents v
  • List of Boxes viii
  • Preface xi
  • 1 - An Overview 1
  • 2 - The Elements of Game Theory 41
  • 3 - Dynamic Games 80
  • 4 - Bargaining Games 111
  • 5 - The Prisoners’ Dilemma 146
  • 6 - Repeated Games and Reputations 167
  • 7 - Evolutionary Games 195
  • 8 - Watching People Play Games 236
  • Postscript 260
  • Notes 261
  • Bibliography 265
  • Name Index 273
  • Subject Index 276
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