文档介绍：A Course in Game Theory
A Course in Game Theory
Martin J. Osborne
Ariel Rubinstein
The MIT Press
Cambridge, Massachusetts
London, England
Copyright
c 1994 Massachusetts Institute of Technology
All rights reserved. No part of this book may be reproduced in any form by any
electronic or mechanical means (including photocopying, recording, or information
storage and retrieval) without permission in writing from the publisher.
This book was typeset by the authors, who are greatly indebted to Donald Knuth
(the creator of TEX), Leslie Lamport (the creator of LATEX), and Eberhard Mattes
(the creator of emTEX) for generously putting superlative software in the public
domain. Camera-ready copy was produced by Type 2000, Mill Valley, California,
and the book was printed and bound by The Maple-Vail Book Manufacturing
Group, Binghamton, New York.
Osborne, Martin J.
A course in game theory/Martin J. Osborne, Ariel Rubinstein.
p. cm.
Includes bibliographical references and index.
ISBN 0-262-15041-7.—ISBN 0-262-65040-1 (pbk.)
1. Game Theory. I. Rubinstein, Ariel. II. Title.
1994
’0353–dc20 94-8308
CIP
Contents
Preface xi
1 Introduction 1
Game Theory 1
Games and Solutions 2
Game Theory and the Theory petitive Equilibrium 3
Rational Behavior 4
The Steady State and Deductive Interpretations 5
Bounded Rationality 6
Terminology and Notation 6
Notes 8
I Strategic Games 9
2 Nash Equilibrium 11
Strategic Games 11
Nash Equilibrium 14
Examples 15
Existence of a Nash Equilibrium 19
petitive Games 21
Bayesian Games: Strategic Games with Imperfect
Information 24
Notes 29
vi Contents
3 Mixed, Correlated, and Evolutionary Equilibrium 31
Mixed Strategy Nash Equilibrium 31
Interpretations of Mixed Strategy Nash Equilibrium 37
Correlated Equilibrium 44
Evolutionary Equilibrium 48
Notes 51
4 Rationalizability and Iterated Elimination o