Two-Person Zero-Sum Games

Two-person zero-sum game theory deals with situations that are perfectly competitive—there are exactly two decision makers for whom there is no possibility of cooperation or compromise. It is the most fundamental part of game theory, and the part most com

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Alan Washburn

Two-Person Zero-Sum Games Fourth Edition

International Series in Operations Research & Management Science

Volume 201

Series Editor: Frederick S. Hillier Stanford University, CA, USA Special Editorial Consultant: Camille C. Price Stephen F. Austin State University, TX, USA

For further volumes: http://www.springer.com/series/6161

Alan Washburn

Two-Person Zero-Sum Games Fourth Edition

Alan Washburn Operations Research Department Naval Postgraduate School Monterey, CA, USA

Supplementary material for this volume is available at www.springer.com. Search for this title by print ISBN: 978-1-4614-9049-4 ISSN 0884-8289 ISBN 978-1-4614-9049-4 ISBN 978-1-4614-9050-0 (eBook) DOI 10.1007/978-1-4614-9050-0 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2013950900 © Springer Science+Business Media New York 2014 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Foreword

Practical men, who believe themselves to be quite exempt from any intellectual influences, are usually the slaves of some defunct economist. . .. J. M. Keynes

This book is unusual among books on game theory in considering only the special case where there are exactly two players whose interests are completely opposed— the two-person zero-sum (TPZS) case.