Russian Contributions to Game Theory and Equilibrium Theory

  • Theo S. H. Driessen
  • Gerard van der Laan
  • Valeri A. Vasil’ev
  • Elena B. Yanovskaya

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

Table of contents

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

    1. V. A. Vasil’ev, E. B. Yanovskaya
      Pages 1-17
  3. Noncooperative game theory and social choice

  4. Cooperative game theory

  5. Bargaining theory

    1. Front Matter
      Pages 151-151
    2. S. Pechersky
      Pages 153-164
    3. S. Pechersky
      Pages 165-174
    4. N. S. Kukushkin
      Pages 175-178
  6. Equilibrium theory

    1. Front Matter
      Pages 179-179
    2. F. L. Zak
      Pages 181-215
    3. V. I. Danilov, A. I. Sotskov
      Pages 237-250
  7. Back Matter
    Pages 251-254

About this book

Introduction

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.

Keywords

Bargaining Problem Cooperative Game Noncooperative Game bargaining cooperative games equilibrium game theory general equilibrium sets social choice

Editors and affiliations

  • Theo S. H. Driessen
    • 1
  • Gerard van der Laan
    • 2
  • Valeri A. Vasil’ev
    • 3
  • Elena B. Yanovskaya
    • 4
  1. 1.Faculty of Electric Engineering, Mathematics, and Computer ScienceUniversity of TwenteEnschedeThe Netherlands
  2. 2.Faculty of Economics and Business AdministrationVrije Universiteit, AmsterdamAmsterdamThe Netherlands
  3. 3.Sobolev Institute of MathematicsRussian Academy of Sciences, NovosibirskNovosibirskRussia
  4. 4.St. Petersburg Institute for Economics and MathematicsRussian Academy of Sciences, St. PetersburgSt. PetersburgRussia

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-32061-X
  • Copyright Information Springer-Verlag Berlin Heidelberg 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Business and Economics
  • Print ISBN 978-3-540-31405-9
  • Online ISBN 978-3-540-32061-6
  • Series Print ISSN 0924-6126
  • About this book