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Chapter IX. Composition and Decomposition of Games
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Chapters in this book
- Frontmatter i
- Contents v
- Introduction vii
- CONTENTS xvii
- Preface to First Edition. Preface to Second Edition xxvii
- Preface to Third Edition xxix
- Technical Note xxxi
- Acknowledgment xxxii
- Chapter I. Formulation of the Economic Problem 1
- Chapter II. General Formal Description of Games of Strategy 46
- Chapter III. Zero-Sum Two-Person Games: Theory 85
- Chapter IV. Zero-Sum Two-Person Games: Examples 169
- Chapter V. Zero-Sum Three-Person Games 220
- Chapter VI. Formulation of the General Theory, Zero-Sum n-Person Games 238
- Chapter VII. Zero-Sum Four-Person Games 291
- Chapter VIII. Some Remarks Concerning n≧ 5 Participants 330
- Chapter IX. Composition and Decomposition of Games 339
- Chapter X. Simple Games 420
- Chapter XI. General Non-Zero-Sum Games 504
- Chapter XII. Extension of the Concepts of Domination and Solution 587
- Appendix: The Axiomatic Treatment of Utility 617
- Afterword 633
- Reviews 637
- Heads, I Win, and Tails, You Lose 675
- Big D 678
- Mathematics Of Games And Economics 680
- Theory Of Games 683
- Mathematical Theory of Poker is Applied to Business Problems 686
- A Theory of Strategy 692
- The Collaboration between Oskar Morgenstern and John von Neumann on the Theory of Games 712
- Index 727
- CREDITS 741
Chapters in this book
- Frontmatter i
- Contents v
- Introduction vii
- CONTENTS xvii
- Preface to First Edition. Preface to Second Edition xxvii
- Preface to Third Edition xxix
- Technical Note xxxi
- Acknowledgment xxxii
- Chapter I. Formulation of the Economic Problem 1
- Chapter II. General Formal Description of Games of Strategy 46
- Chapter III. Zero-Sum Two-Person Games: Theory 85
- Chapter IV. Zero-Sum Two-Person Games: Examples 169
- Chapter V. Zero-Sum Three-Person Games 220
- Chapter VI. Formulation of the General Theory, Zero-Sum n-Person Games 238
- Chapter VII. Zero-Sum Four-Person Games 291
- Chapter VIII. Some Remarks Concerning n≧ 5 Participants 330
- Chapter IX. Composition and Decomposition of Games 339
- Chapter X. Simple Games 420
- Chapter XI. General Non-Zero-Sum Games 504
- Chapter XII. Extension of the Concepts of Domination and Solution 587
- Appendix: The Axiomatic Treatment of Utility 617
- Afterword 633
- Reviews 637
- Heads, I Win, and Tails, You Lose 675
- Big D 678
- Mathematics Of Games And Economics 680
- Theory Of Games 683
- Mathematical Theory of Poker is Applied to Business Problems 686
- A Theory of Strategy 692
- The Collaboration between Oskar Morgenstern and John von Neumann on the Theory of Games 712
- Index 727
- CREDITS 741