6. EFFECTIVE COMPUTABILITY OF WINNING STRATEGIES

Chapters in this book

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