17342 Words70 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*…show more content…*

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

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

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