Advances in Game Theory

Book

Advances in Game Theory

Edited by: Melvin Dresher , Lloyd S. Shapley and Albert William Tucker

Language: English

Published/Copyright: 1964

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This book is in the series

Volume 52 | Annals of Mathematics Studies

About this book

A classic treatment of game theory from the acclaimed Annals of Mathematics Studies series

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.

To mark the continued success of the series, all books are available in paperback and as ebooks.

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Mathematics Applied Mathematics

Frontmatter Publicly Available Download PDF	ii
Preface M. Dresher, L. S. Shapley and A. W. Tucker Requires Authentication Unlicensed Licensed Download PDF	v
Contents Publicly Available Download PDF	ix
1. Some Topics in Two-Person Games L. S. Shapley Requires Authentication Unlicensed Licensed Download PDF	1
2. Games With a Random Move Rodrigo A. Restrepo Requires Authentication Unlicensed Licensed Download PDF	29
3. A Search Game Selmer M. Johnson Requires Authentication Unlicensed Licensed Download PDF	39
4. The Rendezvous Value of a Metric Space O. Gross Requires Authentication Unlicensed Licensed Download PDF	49
5. Generalized Gross Substitutability and Extremization Hukukane Nikaidò Requires Authentication Unlicensed Licensed Download PDF	55
6. Adaptive Competitive Decision Jack L. Rosenfeld Requires Authentication Unlicensed Licensed Download PDF	69
7. Infinite Games of Perfect Information Morton Davis Requires Authentication Unlicensed Licensed Download PDF	85
8. Continuous Games of Perfect Information Jan Mycielski Requires Authentication Unlicensed Licensed Download PDF	103
9. A Theory of Pursuit and Evasion C. Ryll-Nardzewski Requires Authentication Unlicensed Licensed Download PDF	113
10. A Variational Approach to Differential Games Leonard D. Berkovitz Requires Authentication Unlicensed Licensed Download PDF	127
11. A Differential Game Without Pure Strategy Solutions on an Open Set Leonard D. Berkovitz Requires Authentication Unlicensed Licensed Download PDF	175
12. The Convergence Problem for Differential Games, II Wendell H. Fleming Requires Authentication Unlicensed Licensed Download PDF	195
13. Markov Games Lars Erik Zachrisson Requires Authentication Unlicensed Licensed Download PDF	211
14. Homogeneous Games, III J. R. Isbell Requires Authentication Unlicensed Licensed Download PDF	255
15. Solutions of Compound Simple Games L. S. Shapley Requires Authentication Unlicensed Licensed Download PDF	267
16. The Tensor Composition of Nonnegative Games Guillermo Owen Requires Authentication Unlicensed Licensed Download PDF	307
17. On the Cardinality of Solutions of Four-Person Constant- Sum Games Alberto Raul Galmarino Requires Authentication Unlicensed Licensed Download PDF	327
18. The Doubly Discriminatory Solutions of the Four-Person Constant-Sum Game Michael H. Hebert Requires Authentication Unlicensed Licensed Download PDF	345
19. Three-Person Cooperative Games Without Side Payments R. E. Stearns Requires Authentication Unlicensed Licensed Download PDF	377
20. Some Thoughts on the Theory of Cooperative Games Gerd Jentzsch Requires Authentication Unlicensed Licensed Download PDF	407
21. The Bargaining Set for Cooperative Games Robert J. Aumann and Michael Maschler Requires Authentication Unlicensed Licensed Download PDF	443
22. Stable Payoff Configurations for Quota Games Michael Maschler Requires Authentication Unlicensed Licensed Download PDF	477
23. On the Bargaining Set M₀ of m-Quota Games Bezalel Peleg Requires Authentication Unlicensed Licensed Download PDF	501
24. A Property of Stability Possessed by Certain Imputations Hans Radstrom Requires Authentication Unlicensed Licensed Download PDF	513
25. Coalition Bargaining in n-Person Games Evar D. Nering Requires Authentication Unlicensed Licensed Download PDF	531
26. The n-Person Bargaining Game Koichi Miyasawa Requires Authentication Unlicensed Licensed Download PDF	547
27. Valuation of n-Person Games Reinhard Selten Requires Authentication Unlicensed Licensed Download PDF	577
28. Mixed and Behavior Strategies in Infinite Extensive Games Robert J . Aumann Requires Authentication Unlicensed Licensed Download PDF	627
29. A General Solution for Finite Noncooperative Games Based on Risk-Dominance John C. Harsanyi Requires Authentication Unlicensed Licensed Download PDF	651

Publishing information

Pages and Images/Illustrations in book

eBook published on:

March 2, 2016

eBook ISBN:

9781400882014

Pages and Images/Illustrations in book

Main content:

691

https://doi.org/10.1515/9781400882014

eBook ISBN: 9781400882014

Keywords for this book

Theorem; Strategy (game theory); Characteristic function (probability theory); Cooperative game; Probability distribution; Axiom; Subset; Diagram (category theory); Shapley value; Markov process; Probability; Minimax theorem; Bayesian probability; Special case; Independence (probability theory); Mathematical induction; Joint probability distribution; Probability measure; Markov chain; Differential game; Mathematical optimization; Minor (linear algebra); Solution concept; Set (mathematics); Theory of Games and Economic Behavior; Search game; Conditional probability distribution; Quantifier (logic); Basis (linear algebra); Outcome (probability); Markov property; Ranking (information retrieval); Jacobian matrix and determinant; Equation solving; Summation; Decision rule; Continuous function (set theory); Hamilton–Jacobi equation; Lipschitz continuity; Initial value problem; Foundations of mathematics; Superadditivity; Determinacy; Payment; Utility; Counterexample; Random variable; Infimum and supremum; Bounded set (topological vector space); Mathematical economics; Variable (mathematics); Mathematical analysis; Calculation; Representation theory; Weighted arithmetic mean; Parity (mathematics); Family of sets; Quantity; Linear inequality; Continuum hypothesis; Randomization; Decision-making; Dyadic rational; Theory; Scientific notation; Function (mathematics); Preference (economics); Invertible matrix; Linear programming; Linear map

Audience(s) for this book

College/higher education;Professional and scholarly;

Advances in Game Theory

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