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book: Contributions to the Theory of Games, Volume III
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Contributions to the Theory of Games, Volume III

  • Melvin Dresher , Albert William Tucker and Philip Wolfe
Language: English
Published/Copyright: 2016

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

  • Publicly Available

    Frontmatter

    i
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    PREFACE

    v
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    CONTENTS

    vii
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    INTRODUCTION

    1
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  • PART I. MOVE AS PLAYS OF OTHER GAMES
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    1. ON GAMES OP SURVIVAL

    15
    J. Milnor and L .S. Shapley
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    2. RECURSIVE GAMES

    47
    H. Everett
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    3. FINITARY GAMES

    79
    J. R. Isbell
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    4. APPROXIMATION TO RAYES RISK IN REPEATED PLAY

    97
    James Hannan
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    5. INFORMATION IN GAMES WITH FINITE RESOURCES

    141
    David Gale
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  • PART II. GAMES WITH PERFECT INFORMATION
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    6. EFFECTIVE COMPUTABILITY OF WINNING STRATEGIES

    147
    Michael O. Rabin
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    7. THE BANACH-MAZUR GAME AND BANACH CATEGORY THEOREM

    159
    John C. Oxtoby
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    8. TOPOLOGICAL GAMES WITH PERFECT INFORMATION

    165
    Claude Berge
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    9. STOCHASTIC GAMES WITH ZERO STOP PROBABILITIES

    179
    Dean Gillette
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    10. CARTESIAN PRODUCTS OF TERMINATION GAMES

    189
    John C. Holladay
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    11. A STUDY OP SIMPLE GAMES THROUGH EXPERIMENTS ON COMPUTING MACHINES

    201
    w. Walden
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  • PART III. GAMES WITH PARTIAL INFORMATION
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    12. GAMES WITH PARTIAL INFORMATION

    213
    H. E. Scarf and L. S. Shapley
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    13. A DISCRETE EVASION GAME

    231
    L. E. Dabins
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    14. AN INFINITE MOVE GAME WITH A LAG

    257
    Samuel Karlin
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    15. THE EFFECT OF PSYCHOLOGICAL ATTITUDES ON THE OUTCOMES OF GAMES

    273
    John G. Kemeny and Gerald L. Thompson
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  • PART IV. GAMES WITH CONTINUUM OF STRATEGIES
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    16. ON A GAME WITHOUT A VALUE

    299
    Maurice Sion and Philip Wolfe
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    17. A RATIONAL GAME ON THE SQUARE

    307
    O. Gross
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    18. TACTICAL PROBLEMS INVOLVING SEVERAL ACTIONS

    313
    Rodrigo Restrepo
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    19. MULTISTAGE POKER MODELS

    337
    Samuel Karlin and Rodrigo Restrepo
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    20. ON GAMES DESCRIBED BY BELL SHAPED KERNELS

    365
    Samuel Karlin
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  • PART V. GAMES WITH A CONTINUUM OF MOVES
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    21. ON DIFFERENTIAL GAMES WITH SURVIVAL PAYOFF

    393
    H. E. Scarf
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    22. A NOTE ON DIFFERENTIAL GAMES OF PRESCRIBED DURATION

    407
    W. H. Fleming
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    23. ON DIFFERENTIAL GAMES WITH INTEGRAL PAYOFF

    413
    L. D. Berkovitz and W. H. Fleming
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    Backmatter

    438
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
June 6, 2016
eBook ISBN:
9781400882151
Pages and Images/Illustrations in book
View content
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
For an expert adult audience, including professional development and academic research
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