Game Theory Introduction

17342 Words Dec 23rd, 2012 70 Pages
Strategies and Games

Strategies and Games
Theory and Practice

prajit k. dutta

The MIT Press Cambridge, Massachusetts
.

London, England

© 1999 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 set in Melior and MetaPlus by Windfall Software using ZzTEX and was printed and bound in the United States of America. Library of Congress Cataloging-in-Publication Data Dutta, Prajit K. Strategies and games : theory and practice / Prajit K. Dutta. p. cm. Includes bibliographical references and index. ISBN
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7.2 A Simple Model 7.3 Social Optimality 7.4 The Problem Worsens in a Large Population 7.5

91 91 93 95 96

case studies and the Internet

Buffalo, Global Warming, 97 98 99 100

7.6 Averting a Tragedy Summary Exercises

C H A P T E R

8

Mixed Strategies 8.1 Definition and Examples 8.1.1 What Is a Mixed Strategy? 8.1.2 Yet More Examples 8.2 An Implication 8.3 Mixed Strategies Can Dominate Some Pure Strategies 8.3.1 Implications for Dominant Strategy Solution and IEDS 8.4 Mixed Strategies Are Good for Bluffing 8.5 Mixed Strategies and Nash Equilibrium 8.5.1 Mixed-Strategy Nash Equilibria in an Example 8.6

103 103 103 106 107 108 109 110 111 113 114 115 116

case study
Summary Exercises

Random Drug Testing

xii

Contents

C H A P T E R

9

Two Applications: Natural Monopoly and Bankruptcy Law 9.1 Chicken, Symmetric Games, and Symmetric Equilibria 9.1.1 Chicken 9.1.2 Symmetric Games and Symmetric Equilibria 9.2 Natural Monopoly 9.2.1 The Economic Background 9.2.2 A Simple Example 9.2.3 War of Attrition and a General Analysis 9.3 Bankruptcy Law 9.3.1 The

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