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INTRODUCTION
-
Melvin Dresher
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Chapters in this book
- Frontmatter i
- PREFACE v
- CONTENTS vii
- INTRODUCTION 1
-
PART I. MOVE AS PLAYS OF OTHER GAMES
- 1. ON GAMES OP SURVIVAL 15
- 2. RECURSIVE GAMES 47
- 3. FINITARY GAMES 79
- 4. APPROXIMATION TO RAYES RISK IN REPEATED PLAY 97
- 5. INFORMATION IN GAMES WITH FINITE RESOURCES 141
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PART II. GAMES WITH PERFECT INFORMATION
- 6. EFFECTIVE COMPUTABILITY OF WINNING STRATEGIES 147
- 7. THE BANACH-MAZUR GAME AND BANACH CATEGORY THEOREM 159
- 8. TOPOLOGICAL GAMES WITH PERFECT INFORMATION 165
- 9. STOCHASTIC GAMES WITH ZERO STOP PROBABILITIES 179
- 10. CARTESIAN PRODUCTS OF TERMINATION GAMES 189
- 11. A STUDY OP SIMPLE GAMES THROUGH EXPERIMENTS ON COMPUTING MACHINES 201
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PART III. GAMES WITH PARTIAL INFORMATION
- 12. GAMES WITH PARTIAL INFORMATION 213
- 13. A DISCRETE EVASION GAME 231
- 14. AN INFINITE MOVE GAME WITH A LAG 257
- 15. THE EFFECT OF PSYCHOLOGICAL ATTITUDES ON THE OUTCOMES OF GAMES 273
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PART IV. GAMES WITH CONTINUUM OF STRATEGIES
- 16. ON A GAME WITHOUT A VALUE 299
- 17. A RATIONAL GAME ON THE SQUARE 307
- 18. TACTICAL PROBLEMS INVOLVING SEVERAL ACTIONS 313
- 19. MULTISTAGE POKER MODELS 337
- 20. ON GAMES DESCRIBED BY BELL SHAPED KERNELS 365
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PART V. GAMES WITH A CONTINUUM OF MOVES
- 21. ON DIFFERENTIAL GAMES WITH SURVIVAL PAYOFF 393
- 22. A NOTE ON DIFFERENTIAL GAMES OF PRESCRIBED DURATION 407
- 23. ON DIFFERENTIAL GAMES WITH INTEGRAL PAYOFF 413
- Backmatter 438
Chapters in this book
- Frontmatter i
- PREFACE v
- CONTENTS vii
- INTRODUCTION 1
-
PART I. MOVE AS PLAYS OF OTHER GAMES
- 1. ON GAMES OP SURVIVAL 15
- 2. RECURSIVE GAMES 47
- 3. FINITARY GAMES 79
- 4. APPROXIMATION TO RAYES RISK IN REPEATED PLAY 97
- 5. INFORMATION IN GAMES WITH FINITE RESOURCES 141
-
PART II. GAMES WITH PERFECT INFORMATION
- 6. EFFECTIVE COMPUTABILITY OF WINNING STRATEGIES 147
- 7. THE BANACH-MAZUR GAME AND BANACH CATEGORY THEOREM 159
- 8. TOPOLOGICAL GAMES WITH PERFECT INFORMATION 165
- 9. STOCHASTIC GAMES WITH ZERO STOP PROBABILITIES 179
- 10. CARTESIAN PRODUCTS OF TERMINATION GAMES 189
- 11. A STUDY OP SIMPLE GAMES THROUGH EXPERIMENTS ON COMPUTING MACHINES 201
-
PART III. GAMES WITH PARTIAL INFORMATION
- 12. GAMES WITH PARTIAL INFORMATION 213
- 13. A DISCRETE EVASION GAME 231
- 14. AN INFINITE MOVE GAME WITH A LAG 257
- 15. THE EFFECT OF PSYCHOLOGICAL ATTITUDES ON THE OUTCOMES OF GAMES 273
-
PART IV. GAMES WITH CONTINUUM OF STRATEGIES
- 16. ON A GAME WITHOUT A VALUE 299
- 17. A RATIONAL GAME ON THE SQUARE 307
- 18. TACTICAL PROBLEMS INVOLVING SEVERAL ACTIONS 313
- 19. MULTISTAGE POKER MODELS 337
- 20. ON GAMES DESCRIBED BY BELL SHAPED KERNELS 365
-
PART V. GAMES WITH A CONTINUUM OF MOVES
- 21. ON DIFFERENTIAL GAMES WITH SURVIVAL PAYOFF 393
- 22. A NOTE ON DIFFERENTIAL GAMES OF PRESCRIBED DURATION 407
- 23. ON DIFFERENTIAL GAMES WITH INTEGRAL PAYOFF 413
- Backmatter 438