Chapters in Game Theory In honor of Stef Tijs

Chapters in Game Theory has been written on the occasion of the 65th birthday of Stef Tijs, who can be regarded as the godfather of game theory in the Netherlands. The contributors all are indebted to Stef Tijs, as former Ph.D. students or otherwise. The

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THEORY AND DECISION LIBRARY General Editors: W. Leinfellner (Vienna) and G. Eberlein (Munich) Series A: Philosophy and Methodology of the Social Sciences Series B: Mathematical and Statistical Methods Series C: Game Theory, Mathematical Programming and Operations Research Series D: System Theory, Knowledge Engineering an Problem Solving

SERIES C: GAME THEORY, MATHEMATICAL PROGRAMMING AND OPERATIONS RESEARCH VOLUME 31

Editor-in Chief: H. Peters (Maastricht University); Honorary Editor: S.H. Tijs (Tilburg); Editorial Board: E.E.C. van Damme (Tilburg), H. Keiding (Copenhagen), J.-F. Mertens (Louvain-la-Neuve), H. Moulin (Rice University), S. Muto (Tokyo University), T. Parthasarathy (New Delhi), B. Peleg (Jerusalem), T. E. S. Raghavan (Chicago), J. Rosenmüller (Bielefeld), A. Roth (Pittsburgh), D. Schmeidler (Tel-Aviv), R. Selten (Bonn), W. Thomson (Rochester, NY). 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.

CHAPTERS IN GAME THEORY In honor of Stef Tijs Edited by

PETER BORM University of Tilburg, The Netherlands and

HANS PETERS University of Maastricht, The Netherlands

KLUWER ACADEMIC PUBLISHERS NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW

eBook ISBN: Print ISBN:

0-306-47526-X 1-4020-7063-2

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v Preface On the occasion of the 50th birthday of Stef Tijs in 1987 a volume of surveys in game theory in Stef’s honor was composed1. All twelve authors who contributed to that book still belong to the twenty-nine authors involved in the present volume, published fifteen years later on the occasion of Stef’s 65th birthday. Twenty-five of these twentynine authors wrote—or write, in one case—their Ph.D. theses under the supervision of Stef Tijs. The other four contributors are indebted to Stef Tijs to a different but hardly less decisive degree. What makes a person deserve to be the honorable subject of a scientific liber amicorum, and that on at least two occasions in his life? If that person is called Stef Tijs then the answer includes at least the following reasons. First of all, until now Stef has supervised about thirty Ph.D. students in game theory alone. More importantly than sheer numbers, most of these students stayed in academics; for instance all those who contributed to the 1987 volume. It is bey