& REES GRAVELLE HUGH GRAVELLE & RAY REES Dr Sanjit Dhami .

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Gravelle&Rees ppr 1/9/08 1:48 AM Page 1Professor Harris Schlesinger, University of Alabama“Comprehensive, well informed and a joy to read. It was hard to put the book downonce I had started to read it. In terms of the coverage, it will be hard to find amatching text”GRAVELLE& REES“To me, the strong point of the book is its clear explanation with some clevergraphical analyses. The later chapters are especially noteworthy in presenting aunified, coherent introduction to uncertainty and the economics of information.”MICROECONOMICSDr Sanjit Dhami, University of LeicesterAs in previous editions, the third edition offers rigorous treatment of the topics discussed, with the majoremphasis placed on giving the student an intuitive understanding of microeconomic models and theories.This book provides the student with a good understanding of the nature and purpose of microeconomic modelsand the way they interrelate to form a coherent whole. Students are encouraged, with the use of the exerciseswhich are integral to the book, to develop the ability to apply microeconomics in solving concrete problems.Key Features New! Chapter on game theory. New! Chapters on uncertainty and asymmetric information have been extended and restructured. Microeconomic concepts are dealt with rigorously, comprehensively and in depth. Numerous exercises throughout form an integral part of the book. The writing style is clear and concise. Discussions of literature and suggestions for further reading are in an extensive set of notes at the end of thebook. Mathematics of optimization is included in a number of short appendices at the end of the book.Beginning at the intermediate level and ending at a level appropriate for the graduate student, this is a core textfor upper level undergraduate and taught graduate microeconomics courses.Hugh Gravelle is Professor of Economics at the Centre for Health Economics, University of York, UK.Ray Rees is Professor of Economics at Ludwig Maximilians University, Munich, Germany.MICROECONOMICSThis highly regarded text is one of the best-selling advanced microeconomics books on the market. Updatedand revised, the new edition provides a comprehensive exposition of modern microeconomic theory, coveringmany of the topics currently being researched and debated.3rd EditionAn imprint ofwww.pearson-books.comH U G H G R AV E L L E & R AY R E E S3rd Edition

MIC3e prelim.qxd 1/9/08 1:51 AM Page iMICROECONOMICS.

MIC3e prelim.qxd 1/9/08 1:51 AM Page iiWe work with leading authors to develop the strongesteducational materials in economics, bringing cutting-edgethinking and best learning practice to a global market.Under a range of well-known imprints, includingFinancial Times/Prentice Hall, we craft high qualityprint and electronic publications which helpreaders to understand and apply their content,whether studying or at work.To find out more about the complete range of ourpublishing, please visit us on the World Wide Web at:www.pearsoned.co.uk.

MIC3e prelim.qxd 1/9/08 1:51 AM Page iiiMICROECONOMICSThird EditionHugh Gravelle and Ray Rees.

MIC3e prelim.qxd 1/9/08 1:51 AM Page ivPearson Education LimitedEdinburgh GateHarlowEssex CM20 2JEEnglandand Associated Companies throughout the worldVisit us on the World Wide Web at:www.pearsoned.co.ukFirst published 1981Second edition published 1992Third edition published 2004 Pearson Education Limited 2004The rights of Hugh Gravelle and Ray Rees to be identified as authors of this workhave been asserted by them in accordance with the Copyright, Designs andPatents Act 1988.All rights reserved. No part of this publication may be reproduced, stored in a retrievalsystem, or transmitted in any form or by any means, electronic, mechanical,photocopying, recording or otherwise, without either the prior written permission of thepublisher or a licence permitting restricted copying in the United Kingdom issued by theCopyright Licensing Agency Ltd, 90 Tottenham Court Road, London W1T 4LP.ISBN 0 582 404878British Library Cataloguing-in-Publication DataA catalogue record for this book is available from the British LibraryLibrary of Congress Cataloging-in-Publication DataGravelle, Hugh.Microeconomics / Hugh Gravelle and Ray Rees. — 3rd ed.p. cm.Includes bibliographical references and index.ISBN 0-582-40487-81. Microeconomics. I. Rees, Ray, 1943- II. Title.HB171.5.G786 2004338.5—dc22200404927910 9 8 7 6 5 4 3 208 07 06 05 04Typeset in 9.5/12pt stone serif by 35Printed and bound by Ashford Colour Press, Gosport, Hants, UKThe publisher’s policy is to use paper manufactured from sustainable forests.

MIC3e prelim.qxd 1/9/08 1:51 AM Page vContentsPreface to the third editionix1 The nature and scope of microeconomics1A Concepts and methods 1B The economic and social framework 82 The theory of the consumerABCDEThe preference ordering 11The feasible set 22The consumption decision 25The comparative statics of consumer behaviour 29Offer curves and net demand curves 36Appendix 1: The lexicographic ordering 41Appendix 2: Existence of a utility function 433 Consumer theory: dualityABCD1146The expenditure function 46The indirect utility function, Roy’s identity and the Slutsky equation 52Measuring the benefits of price changes 58Composite commodities, separability and homotheticity 664 Further models of consumer behaviourABCDRevealed preference 71The consumer as a labour supplier 77Consumption and the allocation of time 82Households 865 ProductionABCDE.92Introduction 92The production function 96Variations in scale 101Variations in input proportions 105The multi-product case 1076 CostABCDE71111Introduction 111Long-run cost minimization 114Short-run cost minimization 126Cost minimization with several plants 135Multi-product cost functions 138

MIC3e prelim.qxd 1/9/08 1:51 AM Page viviCON TE N TS7 Supply and firm objectivesABCDEF143Long-run profit maximization 144Short-run profit maximization 148The multi-product firm 151The profit function and comparative statics 154The entrepreneurial firm 159Labour-managed firms 1648 The theory of a competitive marketABCDShort-run equilibrium 170Stability of equilibrium 175Long-run equilibrium 184Conclusions 1899 MonopolyABCD190Introduction 190Price and output determination under monopoly 191Price discrimination 194Monopoly welfare loss 20510 Input marketsABCD210Demand for inputs 210Monopsony 216Unions as monopoly input suppliers 220Bilateral monopoly 22311 Capital marketsABCDE227Introduction 227Optimal consumption over time 227The optimal investment decision 231Capital market equilibrium under certainty 240Extension to many periods 24512 General equilibriumABCDEF170250Introduction 250Walrasian equilibrium of a competitive economy 251Existence of Walrasian equilibrium 254Stability of Walrasian equilibrium 260Edgeworth exchange theory 266Exchange, equilibrium and the core 26913 Welfare economics279A Introduction 279B Pareto efficient resource allocation 279C Welfare functions and the Pareto criterion 289.

MIC3e prelim.qxd 1/9/08 1:51 AM Page viiC ONT E NT SD Pareto efficiency and competitive markets 293E Distribution and markets 299F Arrow’s impossibility theorem 30514 Market failure and government failureABCDThe causes of market failure 314Instances of market failure 318The theory of the second best 335Government action and government failure 34015 Game theoryABCDEFG346Introduction 346Game representation and solutions 348Games of imperfect and incomplete information 362Mixed strategies 375Cooperative bargaining games 377Bargaining as a non-cooperative game 385Delay and disagreement in bargaining 39216 OligopolyABCDE400Introduction 400One-shot games 401Oligopoly as a repeated game 417Entry 433Conclusions 44417 Choice under uncertaintyABCDEFG314446Introduction 446A formalization of ‘uncertainty’ 447Choice under uncertainty 449Properties of the utility function 456Risk aversion and indifference curves 466Measures of risk 473Comparative statics under uncertainty 48318 Production under uncertainty491A Introduction 491B Competitive firm under uncertainty 491C Production with futures markets 50319 Insurance, risk spreading and poolingA Introduction 507B The insurance decision 507.507vii

MIC3e prelim.qxd 1/9/08 1:51 AM Page viiiviii CON TE N TSCDEFGHIncomplete insurance markets 514Risk spreading: the Arrow-Lind Theorem 520Risk pooling and diversification 525Asymmetric information in insurance markets: adverse selection 530Asymmetric information in insurance markets: moral hazard 540Signalling20 Agency, contract theory and the firmABCD553Critique of the classical theory of the firm 553Agency theory and the separation of ownership 555The moral hazard principal–agent model 568The adverse selection principal–agent model 57921 General equilibrium under uncertainty and incomplete marketsABCDEF602Introduction 602Complete markets in state contingent claims 604State-contingent commodities 614Efficiency with production 627The stock market 637Incomplete stock markets 648Mathematical AppendicesABCDEFGHIJKLThe structure of an optimization problem 657Solutions to optimization problems 660Existence of solutions 670Local and global optima 672Uniqueness of solutions 675Interior and boundary optima 677Location of the optimum: the method of Lagrange 679Concave programming and the Kuhn-Tucker conditions 686Second-order conditions and comparative statics 696The envelope theorem 708Fixed point theorems 710Bayes’s rule 712References and further readingBibliographyIndex713719727.

MIC3e prelim.qxd 1/9/08 1:51 AM Page ixPreface to the third editionWe seem to be able to produce a new edition of this book every eleven years or so.This is undoubtedly not an optimal interval from the point of view of maximizingsales revenue, but it is an interesting one over which to observe the changes inmicroeconomic theory and in the way it is taught. In the time that elapsed betweenthe first and second editions, the increasing emphasis on game theory and theeconomics of uncertainty and asymmetric information, at the expense of the moretraditional topics in consumption, production and general equilibrium theory, wasquite marked. That tendency has strengthened over the period since the secondedition appeared, and this is reflected in the content and organization of this thirdedition. We have added a new chapter on game theory, and have considerablyextended and restructured the chapters on uncertainty and asymmetric information. In order to keep the length of the book within reasonable bounds, we havedeleted some material that we thought was unlikely these days to be covered in anadvanced microeconomics course, and replaced the chapter on the mathematics ofoptimization by a number of shorter appendices. In addition, the discussions of theliterature and suggestions for further reading previously at the end of each chapterhave been gathered into a set of notes at the end of the book, which has not onlysaved space but, we hope, has allowed us to improve them.The aims and approach of the book have remained the same. We have tried toprovide a comprehensive exposition of modern microeconomic theory, beginningat the intermediate level and ending at an appropriate level for graduate students.We aim to cover the ground between the standard intermediate micro course, taughtlargely in two dimensions with little explicit use of mathematics, and the advanceddoctoral course. This book is meant to fit between, say, Hal Varian’s excellentIntermediate Microeconomics, and Mas-Colell, Whinston and Green’s magisterialMicroeconomic Theory. We have again placed major emphasis on trying to give thestudent an intuitive understanding of the economic content of the models, and oftheir purpose and nature, as well as a clear account of their mathematics.We are very grateful to the many users of this book, students as well as teachers,who have over the years sent us corrections and suggestions for improvement.We would like particularly to thank Patricia Apps and Klaus Schmidt, who havecommented in depth on some of the new material we have prepared for this edition.We are also grateful to Paula Harris of Pearson Education for her good-naturedstoicism in the face of missed deadlines, and for her encouragement finally to finishthis book.H.S.E.G.R.R.

MIC3e prelim.qxd 1/9/08 1:51 AM Page x.

MIC3e C01.qxd 1/9/08 3:29 AM Page 1CHAPTER1The nature and scope ofmicroeconomicsA. Concepts and methodsMicroeconomics is a set of models constructed with the aim of helping us understand the process by which scarce resources are allocated among alternative uses,and of the role of prices and markets in this process. In its purest form, it is a philosophical inquiry into the processes of resource allocation. However, with understanding usually comes the ability to predict and to control, and this has certainlybeen the case in microeconomics. The concepts and models economists havedeveloped, in conjunction with the necessary empirical data, provide the basis for theanalysis of policies by governments wishing to influence the allocation of resources.Through the development of ‘operations research’, ‘management science’ and‘business economics’, concepts from microeconomics have also been applied toassist decision-taking in business.A good way of providing an introductory overview of microeconomics is to set outits basic elements.1. Goods and services or commoditiesThese are the central objects of economic activity, since ‘economic activity’ consistsof the production and exchange of commodities. We distinguish commodities fromeach other by one or more of three characteristics: their attributes, which determinethe way they meet the needs of consumers and producers; the location at which theyare made available; and the date at which they are made available. For example, coaland crude oil have different attributes, as do the services of a hairdresser and thoseof an accountant (though in each case the broad category of resource from whichthe commodities derive – ‘land’ in one case and ‘labour’ in the other – is the same).Equally important is the fact that crude oil in Dubai available tomorrow is a different commodity from crude oil available tomorrow at a refinery in western Europe;while coal in London today is a different commodity from coal in London this timenext year. The basis of the distinction between commodities is that they cannot beregarded as perfect substitutes in production or consumption – a businessman whogoes along to his accountant for advice on a tax problem would not be just as happyto be offered a haircut instead.Commodities are not necessarily physical objects or labour services. For example,Chapters 19 and 21 are concerned with markets for insurance and for financialcapital. The purchase of a share in a company quoted on the stock exchangeentitles the purchaser to a future stream of dividend payments. The purchaser ofcar insurance buys a promise from the insurer to reimburse her for any costs incurred if she has an accident. As the insurance example suggests, and as we will see inChapter 19, the definition of such commodities requires an extension of the set of.

MIC3e C01.qxd 1/9/08 3:29 AM Page 22CHAPTER 1 THE NATURE AND SCOPE OF MICROECONOMICSrelevant characteristics defining commodities to include the ‘state of the world’ inwhich the commodity will be delivered. For the first half of the book we deal withmarkets where there is no uncertainty and the characterization of commodities bytheir attributes, location and date is sufficient.In most of microeconomics we usually assume a finite set of possible bundles ofattributes, a finite set of possible locations – we do not regard geographical space ascontinuous, but rather divided up into small areas – and a finite set of dates. We donot regard calendar time as continuous, but rather divided up into equal discretetime intervals, and moreover not as extending indefinitely far into the future, butinstead we assume some definite, though possibly very distant, time horizon. Theseassumptions ensure that there is a finite number of commodities. Alternatively,we could assume a continuum of commodities: given any one commodity, we couldalways define another which is as close as we like to the first in attributes, locationor time. Moreover, this commodity continuum need not be bounded – we couldpicture commodities as points in a space which stretches to infinity, since we couldalways define commodities available later in time. Since the assumptions required toestablish a finite set of commodities do not seem to do serious injustice to reality,while considerably simplifying the analysis, we usually adopt them.2. PricesAssociated with each commodity is a price, which may be expressed in one of twoways. First, we may choose one commodity in the economy as a numeraire, i.e. as thecommodity in terms of which all prices are to be expressed. For example, supposewe choose gold. Then the price of each commodity is the number of units of goldwhich exchange for one unit of that commodity. The price of gold is 1. In general,we are free to choose any commodity as numeraire, so that prices could just aswell be expressed in terms of the number of units of some kind of labour service,or the number of bottles of beer, or Armani suits, which exchange for one unitof each other commodity. It might be argued that in reality different commodities may have different degrees of suitability for use in market transactions.Commodities which are not easily divisible, and which are bulky and subject tophysical decay, will tend not to be used as a means of payment. However, it is important to note that a numeraire is not intended to represent a means of exchange,or ‘money’, in this sense. We are simply using it as a unit of account, or a unitof measurement for prices in the economy, and nothing need be implied about themechanism by which transactions actually take place. Given the choice of numeraire,prices are effectively commodity rates of exchange – they express the rate at which thenumeraire exchanges for each other commodity. They have the dimension (unitsof the numeraire/units of the commodity). They are therefore not independent ofthe units in which we measure commodities. For example, if we double the unitin which we measure each commodity except for the numeraire we would have todouble prices.The second way in which prices might be expressed does not involve a numeraire.Instead, we suppose there to be some unit of account which is not a quantity ofsome commodity, but an abstract unit used in making bookkeeping entries. If oneunit of a commodity is sold, the account is credited with a certain number of unitsof account, whereas, if the commodity is bought, the same number of units isdebited from the account. The price of the commodity is then the number of units.

MIC3e C01.qxd 1/9/08 3:29 AM Page 3A. CONCEPTS AND METHODS3debited or credited per unit of the commodity. We find it useful to give this unit ofaccount a name, and so we could call it the pound sterling, or the US dollar, forexample. If different accounts are kept in different units, then rates of exchangebetween units of account must be established before transfers from one account toanother can be made. Clearly, there is no actual commodity corresponding to theunit of account, say the pound sterling. A cheque made out for x is an instructionto credit one account and debit another, i.e. to transfer x units of account betweenaccounts. Notes and coin have no intrinsic worth (until perhaps they cease to beused in exchange and acquire intrinsic worth – become commodities themselves –to numismatists), but are simply tokens representing numbers of units of accountwhich are passed around directly and form part (usually a relatively small part) ofthe credit side of one’s accounts.The seemingly abstract definition of prices in terms of units of account is the wayprices are usually expressed, and has come ab

We aim to cover the ground between the standard intermediate micro course, taught largely in two dimensions with little explicit use of mathematics, and the advanced doctoral course. This book is meant to fit between, say, Hal Varian’s excellent Intermediate Microeconomics, and Mas-Colell, Whinston and Green’s magisterial Microeconomic .

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