16. Sums of Positional Games

Chapters in this book

1. Frontmatter i
2. Preface vi
3. Contents vii
4. Part I. Finite Zero-Sum Two-Persons Games
5. 1. A Certain Zero-sum Two-person Game Equivalent to the Optimal Assignment Problem 5
6. 2. Two Variants of Poker 13
7. 3. The Double Description Method 51
8. 4. Solutions of Convex Games as Fixed-points 75
9. 5. Admissible Points of Convex Sets 87
10. Part II. Infinite Zero-Sum Two-Persons Games
11. 6. Games of Timing 97
12. 7. Reduction of Certain Classes of Games to Integral Equations 125
13. 8. On a Class of Games 159
14. 9. Notes on Games over the Square 173
15. 10. On Randomization in Statistical Games with k Terminal Actions 183
16. Part III. Games in Extensive Form
17. 11. Extensive Games and the Problem of Information 193
18. 12. Equivalence of Information Patterns and Essentially Determinate Games 217
19. 13. Infinite Games with Perfect Information 245
20. 14. Signaling Strategies in n-Person Games 267
21. 15. Bridge and Signaling 279
22. 16. Sums of Positional Games 291
23. Part IV. General n-Person Games
24. 17. A Value for n-Person Games 307
25. 18. Symmetric Solutions to Majority Games 319
26. 19. Discriminatory and Bargaining Solutions to a Class of Symmetric n-Person Games 325
27. 20. Quota Solutions of n-Person Games 343
28. 21. Arbitration Schemes for Generalized Two-person Games 361
29. Bibliography 389
30. Backmatter 396