Russian Contributions to Game Theory and Equilibrium Theory

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

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series c: game theory, mathematical programming and operations research VOLUME 39

Editor-in-Chief: H. Peters (Maastricht University, The Netherlands); Honorary Editor: S. H. Tijs (Tilburg University, The Netherlands). Editorial Board: E.E.C. van Damme (Tilburg University, The Netherlands); H. Keiding (University of Copenhagen, Denmark); J.-F. Mertens (Université catholique de Louvain, Belgium); H. Moulin (Rice University, Houston, USA); Shigeo Muto (Tokyo University, Japan); T. Parthasarathy (Indian Statistical Institute, New Delhi, India); B. Peleg (Hebrew University, Jerusalem, Israel); T.E.S. Raghavan (University of Illinois at Chicago, USA); J. Rosenmüller (University of Bielefeld, Germany); A. Roth (Harvard University, USA); D. Schmeidler (Tel-Aviv University, Israel); R. Selten (University of Bonn, Germany); W. Thomson (University of Rochester, USA).

Scope: Particular attention is paid in this series to game theory and operations research, their formal aspects and their applications to economic, political and social sciences as well as to sociobiology. It will encourage high standards in the application of game-theoretical methods to individual and social decision making.

The titles published in this series are listed at the end of this volume.

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

Russian Contributions to Game Theory and Equilibrium Theory

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Theo S. H. Driessen University of Twente Faculty of Electric Engineering, Mathematics, and Computer Science Drienerlolaan 5 7522 NB Enschede The Netherlands E-mail: [email protected] Gerard van der Laan Vrije Universiteit, Amsterdam Faculty of Economics and Business Administration De Boelelaan 1105 1081 HV Amsterdam The Netherlands E-mail: [email protected]

Valeri A.Vasil’ev Russian Academy of Sciences, Novosibirsk Sobolev Institute of Mathematics Prosp. Koptyuga, 4 630090 Novosibirsk Russia E-mail: [email protected] Elena B. Yanovskaya Russian Academy of Sciences, St. Petersburg St. Petersburg Institute for Economics and Mathematics Tchaikovsky st., 1 191187 St. Petersburg Russia E-mail: [email protected]

This book is a collection of journal articles translated from Russian.

Cataloging-in-Publication Data Library of Congress Control Number: 2006920772

ISBN-10 3-540-31405-9 Springer Berlin Heidelberg New York ISBN-13 978-3-540-31405-9 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science