Bayesian Analysis and Uncertainty in Economic Theory

We began this research with the objective of applying Bayesian methods of analysis to various aspects of economic theory. We were attracted to the Bayesian approach because it seemed the best analytic framework available for dealing with decision making u

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BAYESIAN ANALYSIS AND UNCERT AINTY IN ECONOMIC THEORY

RICHARD M. CYERT MORRIS H. DeGROOT Carnegie Mellon University

CHAPMAN AND HALL LONDON

First published 1987 by Chapman and Hall Limited II New Fetter Lane, London EC4P 4EE Copyright © 1987 Softcover reprint of the hardcover 1st edition 1987 Richard M. Cyert and Morris H. DeGroot ISBN -13: 978-94-010-7922-8 DOl: 10.1007/978-94-009-3163-3 All rights reserved

e-ISBN-13: 978-94-009-3163-3

To our wives, Margaret S. Cyert and Marilyn D. DeGroot, whose indifference to this work was deeply appreciated by us.

Contents

Preface Acknow ledgments

IX

xiii

1

Introduction

2

Bayesian Decision Theory

3

Behavioral and Control Theory of the Firm

27

4

Bayesian Analysis and Duopoly Theory

41

5

Multiperiod Decision Models with Alternating Choice as a Solution to the Duopoly Problem

57

6

Cooperation and Learning in a Duopoly Context

74

7

Interfirm Learning and the Kinked Demand Curve

93

8

Sequential Strategies in Dual Control Problems

109

9

Adaptive Utility

127

10

Some Examples of Adaptive Utility

144

11

Sequential Investment Decisions

152

12

Capital Allocation within Firms

162

13

Rational Expectations

171

14

Epilogue

186

7

References

189

Author Index

199

Subject Index

203

Preface

We began this research with the objective of applying Bayesian methods of analysis to various aspects of economic theory. We were attracted to the Bayesian approach because it seemed the best analytic framework available for dealing with decision making under uncertainty, and the research presented in this book has only served to strengthen our belief in the appropriateness and usefulness of this methodology. More specifically, we believe that the concept of organizational learning is fundamental to decision making under uncertainty in economics and that the Bayesian framework is the most appropriate for developing that concept. The central and unifying theme of this book is decision making under uncertainty in microeconomic theory. Our fundamental aim is to explore the ways in which firms and households make decisions and to develop models that have a strong empirical connection. Thus, we have attempted to contribute to economic theory by formalizing models of the actual process of decision making under uncertainty. Bayesian methodology provides the appropriate vehicle for this formalization. We recognize that the topic of decision making under uncertainty is a wide one, and one that is actively being studied from many different perspectives. In particular, we applaud the work done by many economists in attempting to model oligopolies through the use of supergames and games of incomplete information. We are concerned, however, that the expectational assumptions of game theory, including dynamic "supergames" with imperfect information, have a weak empirical basis. The ongoing development of game theory through the use of more sophisticated mathematical models, we believe, is at best tangential to the actual process of decision making under uncertai