Contributions to the Theory of Games (AM-28), Volume II / Albert William Tucker, Harold William Kuhn.

Format:

Book

Contributor:

Kuhn, Harold William, editor.

Tucker, Albert William, editor.

Series:

Annals of mathematics studies ; Number 28.

Annals of Mathematics Studies ; 298

Language:

English

Subjects (All):

Game theory.

Physical Description:

1 online resource (409 pages) : illustrations.

Place of Publication:

Princeton, NJ : Princeton University Press, [2016]

Language Note:

In English.

Summary:

These two new collections, numbers 28 and 29 respectively in the Annals of Mathematics Studies, continue the high standard set by the earlier Annals Studies 20 and 24 by bringing together important contributions to the theories of games and of nonlinear differential equations.

Contents:

Frontmatter

Preface / Kuhn, H. W. / Tucker, A. W.

Contents

Part I. Finite Zero-Sum Two-Persons Games

1. A Certain Zero-sum Two-person Game Equivalent to the Optimal Assignment Problem / Neumann, John von

2. Two Variants of Poker / Gillies, D. B. / Mayberry, J. P. / Neumann, J. von

3. The Double Description Method / Motzkin, T. S. / Raiffa, H. / Thompson, G. L. / Thrall, R. M.

4. Solutions of Convex Games as Fixed-points / Dresher, M. / Karlin, S.

5. Admissible Points of Convex Sets / Arrow, K. J. / Barankin, E. W. / Blackwell, D.

Part II. Infinite Zero-Sum Two-Persons Games

6. Games of Timing / Shiffman, Max

7. Reduction of Certain Classes of Games to Integral Equations / Karlin, Samuel

8. On a Class of Games / Karlin, Samuel

9. Notes on Games over the Square / Glicksberg, I. / Gross, O.

10. On Randomization in Statistical Games with k Terminal Actions / Blackwell, David

Part III. Games in Extensive Form

11. Extensive Games and the Problem of Information / Kuhn, H. W.

12. Equivalence of Information Patterns and Essentially Determinate Games / Dalkey, Norman

13. Infinite Games with Perfect Information / Gale, David / Stewart, F. M.

14. Signaling Strategies in n-Person Games / Thompson, G. L.

15. Bridge and Signaling / Thompson, G. L.

16. Sums of Positional Games / Milnor, John

Part IV. General n-Person Games

17. A Value for n-Person Games / Shapley, L. S.

18. Symmetric Solutions to Majority Games / Bott, Raoul

19. Discriminatory and Bargaining Solutions to a Class of Symmetric n-Person Games / Gillies, D. B.

20. Quota Solutions of n-Person Games / Shapley, L. S.

21. Arbitration Schemes for Generalized Two-person Games / Raiffa, Howard

Bibliography

Backmatter

Notes:

Includes bibliographical references.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9781400881970

1400881978

OCLC:

954124183