The Economics of Informational Decentralization: Complexity, Efficiency, and Stability

In this volume are papers written by students and co-authors of Stanley Reiter. The collection reflects to some extent the range of his interests and intellectual curiosity. He has published papers in statistics, manage­ ment science, international trade,

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The Economics of Informational Decentralization: Complexity, Efficiency, and Stability Essays in Honor of Stanley Reiter

Edited by John O. Ledyard California Institute of Technology Pasadena, CA

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Springer Science+Business Media, LLC

Library of Congress Cataloging-in-Publication Data The economics of informational decentralization: complexity, efficiency, and stability: essays in honor of Stanley Reijer I edited by John O. Ledyard. p. cm. Includes bibliographical references and index. ISBN 978-1-4613-5953-1 ISBN 978-1-4615-2261-4 (eBook) DOI 10.1007/978-1-4615-2261-4

1. Mathematical economics.

HB135.E29 1995 330'.OI'51-dc20

I. Ledyard, John O.

95-32947 CIP

Copyright © 1994 Springer Science+Business Media New York Originally published by Kluwer Academic Publishers in 1994 Softcover reprint of the hardcover 1st edition 1994 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, mechanical, photo-copying, recording, or otherwise, without the prior written permission of the publisher, Springer Science+Business Media. LLC.

Printed on acid-free paper.

Dedicated to Stanley Reiter, Morrison Professor of Economic and Mathematics, Northwestern University

Contents

Contributing Authors

ix

Preface

xi

1 Information Flows Intrinsic to the Stability of Economic Equilibrium J. S. Jordan

2 Mechanisms for the Realization of Equilibria K. R. Mount

35

3 Convergence Theorems for a Class of Recursive Stochastic Algorithms Diego Moreno and Mark Walker

53

4 Efficiency in Partnership When the Joint Output is Uncertain Steven R. Williams and Roy Radner

79

5 Institutional Choice and Institutional Transformation: Perspectives from the Colonial Experience Jonathan Hughes

101

6 An Axiomatic Characterization of the Price Mechanism Hugo Sonnenschein

119

7 Structured Private Enterprise Edward Ames

131

vii

viii

CONTENTS

8 The Last 1,945 sailing Ships Lance E. Davis and Robert E. Gallman

9

Sufficient Statistics, Utility Theory, and Mechanism Design Donald G. Saari 10

Information Processing in Firms and Returns to Scale Roy Radner, Timothy Van Zandt 11

A Nash Solution for Multilateral Bargaining Elaine Bennett 12 Communication Requirements for Individual Agents in Networks and Hierarchies Thomas Marschak and Stefan Reichelstein 13 On Modeling Cheap Talk in Bayesian Games Steven A. Matthews and Andrew Postlewait 14 Feasible Nash Implementation of Social Choice Rules When the Designer Does not Know Endowments or Production Sets Leonid Hurwicz, Eric Maskin, and Andrew Postlewaite Index

159

219

243

281

311

347

367 435

Contributing Authors

Elaine Bennet Virginia Polytechnic Institute

Mark Walker University of Arizona

Lance E. Davis California Institute of Technology

Steven R. Williams University of Illinois

James S. Jordan University of Minnesota

Edward Ames Old Lyne, CT

Thomas Marschak University of California, Berkeley

Robert Gallman University of North Carolina

Steve A. Matthews Northwestern University

Jon