Game Theoretical Applications to Economics and Operations Research
Game Theoretical Applications to Economics and Operations Research deals with various aspects of game theory and their applications to Economics and OR related problems. It brings together the contributions of a wide spectrum of disciplines such as Statis
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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 and Problem Solving
SERIES C: GAME THEORY, MATHEMATICAL PROGRAMMING AND OPERATIONS RESEARCH VOLUME 18
Editor: S. H. Tijs (University of Tilburg); Editorial Board: E.E.C. van Damme (Tilburg), H. Keiding (Copenhagen), J.-F. Mertens (Louvain-la-Neuve), H. Moulin (Durham), S. Muto (Tohoku University), T. Parthasarathy (New Delhi), B. Peleg (Jerusalem), H. Peters (Maastricht), T. E. S. Raghavan (Chicago), J. Rosenmiiller (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 socio-biology. 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.
GAME THEORETICAL APPLICATIONS TO ECONOMICS AND OPERATIONS RESEARCH edited by
T. PARTHASARATHY Indian Statistical Institute
B.DVTTA Indian Statistical Institute
J. A. M. POTTERS Catholic University Nijmegen
T. E. S. RAGHAV AN University of Illinois
D.RAY Boston University
and A.SEN Indian Statistical Institute
Springer-Science+Business Media, B.Y.
A c.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN 978-1-4419-4780-2
ISBN 978-1-4757-2640-4 (eBook)
DOI 10.1007/978-1-4757-2640-4
Printed on acid-free paper
All Rights Reserved @ 1997 Springer Science+Business Media Dordrecht
Originally published by Kluwer Academic Publishers in 1997. Softcover reprint of the hardcover 1st edition 1997 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner.
TABLE OF CONTENTS PREFACE
ix
INTRODUCTION
xi
CHAPTER I. TWO-PERSON GAMES Computing Linear Minimax Estimators. K. Helmes and C.Srinivasan
1
Incidence Matrix Games. R.B. Bapat and Stet Tijs
9
Completely Mixed Games and Real Jacobian Conjecture. T. Parthasarathy, G.Ravindran and M. Sabatini
17
Probability of obtaining a pure strategy equilibrium in matrix games with random pay-offs. Srijit Mishra and T.Krishna Kumar
25
CHAPTER II. COOPERATIVE GAMES Nonlinear Self Dual Solutions for TU Games. Peter Sudholter
33
The Egalitarian Nonpairwise-averaged Contribution. Theo Driessen and Yukihiko Funaki
51
Consistency Properties of the Nontransferable Cooperative Game solutions. Elena Yanovskaya
67
Reduced Game Property of Egalitarian Division Rules for Cooperative Games. T
