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Stochastic Games and Applications

  • Conference proceedings
  • © 2003

Overview

Editors:
  1. Abraham Neyman

    1. Institute of Mathematics and Center for Rationality and Interactive Decision Theory, Hebrew University of Jerusalem, Jerusalem, Israel

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  2. Sylvain Sorin

    1. Université Pierre et Marie Curie and École Polytechnique, Paris, France

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Nato Science Series C: (ASIC, volume 570)

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Table of contents (30 papers)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Stochastic Games

    • L. S. Shapley
    Pages 1-7

  3. From Markov Chains to Stochastic Games

    • Abraham Neyman
    Pages 9-25

  4. Classification and Basic Tools

    • Sylvain Sorin
    Pages 27-36

  5. Stochastic Games and Stationary Strategies

    • O. J. Vrieze
    Pages 37-50

  6. Discounted Stochastic Games: The Finite Case

    • Sylvain Sorin
    Pages 51-55

  7. Real Algebraic Tools in Stochastic Games

    • Abraham Neyman
    Pages 57-75

  8. Zero-Sum Stochastic Games with Borel State Spaces

    • Andrzej S. Nowak
    Pages 77-91

  9. N—Person Stochastic Games: Extensions of the Finite State Space Case and Correlation

    • Andrzej S. Nowak
    Pages 93-106

  10. A Measurable “Measurable Choice” Theorem

    • Jean-François Mertens
    Pages 107-130

  11. Equilibria for Discounted Stochastic Games

    • Jean-François Mertens, T. Parthasarathy
    Pages 131-172

  12. Stochastic Games: Existence of the Minmax

    • Abraham Neyman
    Pages 173-193

  13. The Big Match and the Paris Match

    • Frank Thuijsman
    Pages 195-204

  14. Repeated Games with Absorbing States

    • Frank Thuijsman
    Pages 205-213

  15. Stochastic Games, Practical Motivation and the Orderfield Property for Special Classes

    • O. J. Vrieze
    Pages 215-225

  16. Finite-Step Algorithms for Single-Controller and Perfect Information Stochastic Games

    • T. E. S. Raghavan
    Pages 227-251

  17. Recursive Games

    • Frank Thuijsman
    Pages 253-264

  18. Perturbations of Markov Chains with Applications to Stochastic Games

    • Eilon Solan
    Pages 265-280

  19. Two-Player Non-Zero-Sum Games: A Reduction

    • Nicolas Vieille
    Pages 281-292

  20. On a Class of Recursive Games

    • Nicolas Vieille
    Pages 293-307
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About this book

This volume is based on lectures given at the NATO Advanced Study Institute on "Stochastic Games and Applications," which took place at Stony Brook, NY, USA, July 1999. It gives the editors great pleasure to present it on the occasion of L.S. Shapley's eightieth birthday, and on the fiftieth "birthday" of his seminal paper "Stochastic Games," with which this volume opens. We wish to thank NATO for the grant that made the Institute and this volume possible, and the Center for Game Theory in Economics of the State University of New York at Stony Brook for hosting this event. We also wish to thank the Hebrew University of Jerusalem, Israel, for providing continuing financial support, without which this project would never have been completed. In particular, we are grateful to our editorial assistant Mike Borns, whose work has been indispensable. We also would like to acknowledge the support of the Ecole Poly tech­ nique, Paris, and the Israel Science Foundation. March 2003 Abraham Neyman and Sylvain Sorin ix STOCHASTIC GAMES L.S. SHAPLEY University of California at Los Angeles Los Angeles, USA 1. Introduction In a stochastic game the play proceeds by steps from position to position, according to transition probabilities controlled jointly by the two players.

Editors and Affiliations

  • Institute of Mathematics and Center for Rationality and Interactive Decision Theory, Hebrew University of Jerusalem, Jerusalem, Israel

    Abraham Neyman

  • Université Pierre et Marie Curie and École Polytechnique, Paris, France

    Sylvain Sorin

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