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15. Solutions of Compound Simple Games
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L. S. Shapley
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Chapters in this book
- Frontmatter ii
- Preface v
- Contents ix
- 1. Some Topics in Two-Person Games 1
- 2. Games With a Random Move 29
- 3. A Search Game 39
- 4. The Rendezvous Value of a Metric Space 49
- 5. Generalized Gross Substitutability and Extremization 55
- 6. Adaptive Competitive Decision 69
- 7. Infinite Games of Perfect Information 85
- 8. Continuous Games of Perfect Information 103
- 9. A Theory of Pursuit and Evasion 113
- 10. A Variational Approach to Differential Games 127
- 11. A Differential Game Without Pure Strategy Solutions on an Open Set 175
- 12. The Convergence Problem for Differential Games, II 195
- 13. Markov Games 211
- 14. Homogeneous Games, III 255
- 15. Solutions of Compound Simple Games 267
- 16. The Tensor Composition of Nonnegative Games 307
- 17. On the Cardinality of Solutions of Four-Person Constant- Sum Games 327
- 18. The Doubly Discriminatory Solutions of the Four-Person Constant-Sum Game 345
- 19. Three-Person Cooperative Games Without Side Payments 377
- 20. Some Thoughts on the Theory of Cooperative Games 407
- 21. The Bargaining Set for Cooperative Games 443
- 22. Stable Payoff Configurations for Quota Games 477
- 23. On the Bargaining Set M0 of m-Quota Games 501
- 24. A Property of Stability Possessed by Certain Imputations 513
- 25. Coalition Bargaining in n-Person Games 531
- 26. The n-Person Bargaining Game 547
- 27. Valuation of n-Person Games 577
- 28. Mixed and Behavior Strategies in Infinite Extensive Games 627
- 29. A General Solution for Finite Noncooperative Games Based on Risk-Dominance 651
Chapters in this book
- Frontmatter ii
- Preface v
- Contents ix
- 1. Some Topics in Two-Person Games 1
- 2. Games With a Random Move 29
- 3. A Search Game 39
- 4. The Rendezvous Value of a Metric Space 49
- 5. Generalized Gross Substitutability and Extremization 55
- 6. Adaptive Competitive Decision 69
- 7. Infinite Games of Perfect Information 85
- 8. Continuous Games of Perfect Information 103
- 9. A Theory of Pursuit and Evasion 113
- 10. A Variational Approach to Differential Games 127
- 11. A Differential Game Without Pure Strategy Solutions on an Open Set 175
- 12. The Convergence Problem for Differential Games, II 195
- 13. Markov Games 211
- 14. Homogeneous Games, III 255
- 15. Solutions of Compound Simple Games 267
- 16. The Tensor Composition of Nonnegative Games 307
- 17. On the Cardinality of Solutions of Four-Person Constant- Sum Games 327
- 18. The Doubly Discriminatory Solutions of the Four-Person Constant-Sum Game 345
- 19. Three-Person Cooperative Games Without Side Payments 377
- 20. Some Thoughts on the Theory of Cooperative Games 407
- 21. The Bargaining Set for Cooperative Games 443
- 22. Stable Payoff Configurations for Quota Games 477
- 23. On the Bargaining Set M0 of m-Quota Games 501
- 24. A Property of Stability Possessed by Certain Imputations 513
- 25. Coalition Bargaining in n-Person Games 531
- 26. The n-Person Bargaining Game 547
- 27. Valuation of n-Person Games 577
- 28. Mixed and Behavior Strategies in Infinite Extensive Games 627
- 29. A General Solution for Finite Noncooperative Games Based on Risk-Dominance 651
