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Russian Contributions to Game Theory and Equilibrium Theory

  • Book
  • © 2006

Overview

Editors:
  1. Theo S. H. Driessen

    1. Faculty of Electric Engineering, Mathematics, and Computer Science, University of Twente, Enschede, The Netherlands

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  2. Gerard Laan

    1. Faculty of Economics and Business Administration, Vrije Universiteit, Amsterdam, Amsterdam, The Netherlands

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  3. Valeri A. Vasil’ev

    1. Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk, Novosibirsk, Russia

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  4. Elena B. Yanovskaya

    1. St. Petersburg Institute for Economics and Mathematics, Russian Academy of Sciences, St. Petersburg, St. Petersburg, Russia

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  • Classical Russian literature on Game Theory, up to now only published in Russian language
  • Fills the informational gap in game-theoretic results obtained in the former Soviet Union between 1968 and 1988
  • Includes supplementary material: sn.pub/extras

Part of the book series: Theory and Decision Library C (TDLC, volume 39)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-x
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  2. Sufficient conditions for existence of Mi1-bargaining sets

    1. Introduction

      • V. A. Vasil’ev, E. B. Yanovskaya
      Pages 1-17

  3. Noncooperative game theory and social choice

    1. Front Matter

      Pages 19-19
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    2. A probabilistic model of social choice

      • E. B. Yanovskaya
      Pages 21-32

    3. Equilibrium points in general noncooperative games and their mixed extensions

      • E. B. Yanovskaya
      Pages 33-56

    4. On the theory of optimality principles for noncooperative games

      • V. Lapitsky
      Pages 57-75

  5. Bargaining theory

    1. Front Matter

      Pages 151-151
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    2. The linear bargaining solution

      • S. Pechersky
      Pages 153-164

    3. On the superlinear bargaining solution

      • S. Pechersky
      Pages 165-174

    4. Stable compromises under corrupt arbitration

      • N. S. Kukushkin
      Pages 175-178

  6. Equilibrium theory

    1. Front Matter

      Pages 179-179
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    2. Stability of economic equilibrium

      • F. L. Zak
      Pages 181-215

    3. An algorithmic approach for searching an equilibrium in fixed budget exchange models

      • V. I. Shmyrëv
      Pages 217-235

    4. Equilibrated states and theorems on the core

      • V. I. Danilov, A. I. Sotskov
      Pages 237-250

  7. Back Matter

    Pages 251-254
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Keywords

About this book

V.A. Vasil’ev and E.B. Yanovskaya 1 Game theory in the USSR before 1990 In this introductory chapter ?rst a short historical information about the development of game theory in the USSR before the 1990s is given. It should help to understand the choice of the papers in this volume. The development of game theory in the USSR began in the early sixties. N.N.Vorob’ev (1925- 1995) was the author of the ?rst papers about game theory in Russian; he was also the leader of a group of PhD students and young researchers at Leningrad who studied this new ?eldinmathematics. The early papers by Vorob’ev on enumerating equilibrium points in - matrix games ([74]), coalitional games where a player may belong to di erent coalitions ([77] and [78]) and equivalence of di erent types of strategies in games in extensive form ([75] and [76]), were published in Soviet journals having English translations, and so they became known in the West. Later on, game theory in the USSR exhibited signi?cant progress, which deserved world-wide attention. However, many game-theoretic papers were published in Soviet journals and edited volumes which have never been translated into English. In the 1960s, the theory of zero-sum games was popular in the USSR.

Editors and Affiliations

  • Faculty of Electric Engineering, Mathematics, and Computer Science, University of Twente, Enschede, The Netherlands

    Theo S. H. Driessen

  • Faculty of Economics and Business Administration, Vrije Universiteit, Amsterdam, Amsterdam, The Netherlands

    Gerard Laan

  • Sobolev Institute of Mathematics, Russian Academy of Sciences, Novosibirsk, Novosibirsk, Russia

    Valeri A. Vasil’ev

  • St. Petersburg Institute for Economics and Mathematics, Russian Academy of Sciences, St. Petersburg, St. Petersburg, Russia

    Elena B. Yanovskaya

Bibliographic Information

  • Book Title: Russian Contributions to Game Theory and Equilibrium Theory

  • Editors: Theo S. H. Driessen, Gerard Laan, Valeri A. Vasil’ev, Elena B. Yanovskaya

  • Series Title: Theory and Decision Library C

  • DOI: https://doi.org/10.1007/3-540-32061-X

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Business and Economics, Economics and Finance (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2006

  • Hardcover ISBN: 978-3-540-31405-9Published: 07 March 2006

  • Softcover ISBN: 978-3-642-06847-8Published: 22 November 2010

  • eBook ISBN: 978-3-540-32061-6Published: 21 May 2006

  • Series ISSN: 0924-6126

  • Series E-ISSN: 2194-3044

  • Edition Number: 1

  • Number of Pages: X, 254

  • Topics: Economic Theory/Quantitative Economics/Mathematical Methods

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