Nonlinear and Convex Analysis in Economic Theory
The papers collected in this volume are contributions to T.I.Tech./K.E.S. Conference on Nonlinear and Convex Analysis in Economic Theory, which was held at Keio University, July 2-4, 1993. The conference was organized by Tokyo Institute of Technology (T.
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419
TofU Maruyama Wataru Takahashi (Eds.)
Nonlinear and Convex Analysis in Economic Theory
Springer
Editors Toro Maruyama Director of the Conference Department of Economics Keio University 2-15-45. Mita, Minato-ku Tokyo 108. Japan Wataru Takahashi Chief director of the Conference Department of Information Science Tokyo Institute of Technology 2-12-1, Ohokayama, Meguro-ku Tokyo 152. Japan
Library of Congress Cataloging-in-Publication Data. Nonlinear and convex analysis in economic theory I Toro Maruyama, Wataru Takahashi (eds.). p. cm. - (Lecture notes in economics and mathematical systems; 419) "Contributions to T. I. TechIK.E.S. Conference on Nonlinear and convex Analysis in Economic Theory ... Keio University. July 2-4. 1993"-CIP pref. Includes bibliographical references. ISBN 978-3-540-58767-5 ISBN 978-3-642-48719-4 (cBook) DOl 10.1007/978-3-642-48719-4 I. Economics. MathematicalCongressses. 2. Spatial analysis (Statistics)-Congresses. 3. Business cycles-Congresses. I. Maruyama. T&-u. O. Takahashi, Wataru, 1944- . m. KeiO Gijuku Keizai Gakkai. IV. T(5kyOK~ODaigaku. V. T. I. TechIK.E.S. Conference on Nonlinearand Convex Analysis in Economic theory (1993); Keio University) VI. Series. HB I 35.N65 1995 330' .01'-dc20 94-39352 CIP This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting. re-use of illustrations. recitation. broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law ofSeptember9. 1965, in its current version. and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright
Law.
e Springer-Verlag Berlin Heidelberg 1995 Typesetting: Camera ready by author SPIN; 10486680 42/3140-543210 - Printed on acid-free paper
Preface The papers collected in this volume are contributions to T.I.Tech./K.E.S. Conference on Nonlinear and Convex Analysis in Economic Theory, which was held at Keio University, July 2-4, 1993. The conference was organized by Tokyo Institute of Technology (T. I. Tech.) and the Keio Economic Society (K. E. S.) , and supported by Nihon Keizai Shimbun Inc .. A lot of economic problems can be formulated as constrained optimizations and equilibrations of their solutions. Nonlinear-convex analysis has been supplying economists with indispensable mathematical machineries for these problems arising in economic theory. Conversely, mathematicians working in this discipline of analysis have been stimulated by various mathematical difficulties raised by economic theories. Although our special emphasis was laid upon "nonlinearity" and "convexity" in relation with economic theories, we also incorporated stochastic aspects of financial economics in our project taking account of the remarkable rapid growth of this discipline during the last decade. The conference was designed
