Contributions to the Theory of Games, Volume III

Melvin Dresher; Albert William Tucker; Philip Wolfe

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Contributions to the Theory of Games, Volume III

Melvin Dresher , Albert William Tucker and Philip Wolfe

Language: English

Published/Copyright: 1958

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This book is in the series

Volume 39 | Annals of Mathematics Studies

About this book

A new group of contributions to the development of this theory by leading experts in the field. The contributors include L. D. Berkovitz, L. E. Dubins, H. Everett, W. H. Fleming, D. Gale, D. Gillette, S. Karlin, J. G. Kemeny, R. Restrepo, H. E. Scarf, M. Sion, G. L. Thompson, P. Wolfe, and others.

Topics

Mathematics Applied Mathematics

Frontmatter Publicly Available Download PDF	i
PREFACE Requires Authentication Unlicensed Licensed Download PDF	v
CONTENTS Publicly Available Download PDF	vii
INTRODUCTION Requires Authentication Unlicensed Licensed Download PDF	1
PART I. MOVE AS PLAYS OF OTHER GAMES
1. ON GAMES OP SURVIVAL J. Milnor and L .S. Shapley Requires Authentication Unlicensed Licensed Download PDF	15
2. RECURSIVE GAMES H. Everett Requires Authentication Unlicensed Licensed Download PDF	47
3. FINITARY GAMES J. R. Isbell Requires Authentication Unlicensed Licensed Download PDF	79
4. APPROXIMATION TO RAYES RISK IN REPEATED PLAY James Hannan Requires Authentication Unlicensed Licensed Download PDF	97
5. INFORMATION IN GAMES WITH FINITE RESOURCES David Gale Requires Authentication Unlicensed Licensed Download PDF	141
PART II. GAMES WITH PERFECT INFORMATION
6. EFFECTIVE COMPUTABILITY OF WINNING STRATEGIES Michael O. Rabin Requires Authentication Unlicensed Licensed Download PDF	147
7. THE BANACH-MAZUR GAME AND BANACH CATEGORY THEOREM John C. Oxtoby Requires Authentication Unlicensed Licensed Download PDF	159
8. TOPOLOGICAL GAMES WITH PERFECT INFORMATION Claude Berge Requires Authentication Unlicensed Licensed Download PDF	165
9. STOCHASTIC GAMES WITH ZERO STOP PROBABILITIES Dean Gillette Requires Authentication Unlicensed Licensed Download PDF	179
10. CARTESIAN PRODUCTS OF TERMINATION GAMES John C. Holladay Requires Authentication Unlicensed Licensed Download PDF	189
11. A STUDY OP SIMPLE GAMES THROUGH EXPERIMENTS ON COMPUTING MACHINES w. Walden Requires Authentication Unlicensed Licensed Download PDF	201
PART III. GAMES WITH PARTIAL INFORMATION
12. GAMES WITH PARTIAL INFORMATION H. E. Scarf and L. S. Shapley Requires Authentication Unlicensed Licensed Download PDF	213
13. A DISCRETE EVASION GAME L. E. Dabins Requires Authentication Unlicensed Licensed Download PDF	231
14. AN INFINITE MOVE GAME WITH A LAG Samuel Karlin Requires Authentication Unlicensed Licensed Download PDF	257
15. THE EFFECT OF PSYCHOLOGICAL ATTITUDES ON THE OUTCOMES OF GAMES John G. Kemeny and Gerald L. Thompson Requires Authentication Unlicensed Licensed Download PDF	273
PART IV. GAMES WITH CONTINUUM OF STRATEGIES
16. ON A GAME WITHOUT A VALUE Maurice Sion and Philip Wolfe Requires Authentication Unlicensed Licensed Download PDF	299
17. A RATIONAL GAME ON THE SQUARE O. Gross Requires Authentication Unlicensed Licensed Download PDF	307
18. TACTICAL PROBLEMS INVOLVING SEVERAL ACTIONS Rodrigo Restrepo Requires Authentication Unlicensed Licensed Download PDF	313
19. MULTISTAGE POKER MODELS Samuel Karlin and Rodrigo Restrepo Requires Authentication Unlicensed Licensed Download PDF	337
20. ON GAMES DESCRIBED BY BELL SHAPED KERNELS Samuel Karlin Requires Authentication Unlicensed Licensed Download PDF	365
PART V. GAMES WITH A CONTINUUM OF MOVES
21. ON DIFFERENTIAL GAMES WITH SURVIVAL PAYOFF H. E. Scarf Requires Authentication Unlicensed Licensed Download PDF	393
22. A NOTE ON DIFFERENTIAL GAMES OF PRESCRIBED DURATION W. H. Fleming Requires Authentication Unlicensed Licensed Download PDF	407
23. ON DIFFERENTIAL GAMES WITH INTEGRAL PAYOFF L. D. Berkovitz and W. H. Fleming Requires Authentication Unlicensed Licensed Download PDF	413
Backmatter Requires Authentication Unlicensed Licensed Download PDF	438

Publishing information

Pages and Images/Illustrations in book

eBook published on:

March 2, 2016

eBook ISBN:

9781400882151

Pages and Images/Illustrations in book

Main content:

448

https://doi.org/10.1515/9781400882151

eBook ISBN: 9781400882151

Keywords for this book

Probability; Theorem; Strategy (game theory); Stochastic game; Diagram (category theory); Utility; Differential game; Variable (mathematics); Mathematical induction; Sign (mathematics); Martingale (probability theory); Mathematical optimization; Recursively enumerable set; Topological game; Turing machine; Decision problem; Recursive set; Cartesian product; Proportionality (mathematics); Set (mathematics); Equation; Fundamenta Mathematicae; Zorn's lemma; Probability distribution; Determinacy; Kakutani fixed-point theorem; Continuous function (set theory); Function (mathematics); Extended real number line; Parity (mathematics); Restriction (mathematics); Binomial theorem; Functional equation; Decision theory; Integral equation; Ordinal number; Special case; Series (mathematics); Axiom of choice; Calculation; Sigma-algebra; Characteristic function (probability theory); Lipschitz continuity; Infimum and supremum; Summation; Probability theory; Existence theorem; Probability measure; Joint probability distribution; Differential equation; Inequality (mathematics); Markov chain; Stochastic process; Counterexample; Mathematical analysis; Reductio ad absurdum; Boundary value problem; Transfinite induction; Composition series; Interval (mathematics); Rate of convergence; Stochastic; Big O notation; Finitary; Kakutani's theorem; Topological space; Expected utility hypothesis; Topology; Measure (mathematics); Scientific notation

Audience(s) for this book

College/higher education;Professional and scholarly;

Contributions to the Theory of Games, Volume III

Overview

About this book

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Table of contents

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