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Nonlinear and Convex Analysis in Economic Theory

  • Toru Maruyama
  • Wataru Takahashi

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 419)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Richard H. Day
    Pages 25-45
  3. Takao Fujimoto
    Pages 47-52
  4. Jean-Michel Grandmont
    Pages 67-78
  5. Tatsuro Ichiishi
    Pages 101-117
  6. M. Ali Khan, Yeneng Sun
    Pages 149-161
  7. Norio Kikuchi
    Pages 163-173
  8. Ulrich Krause
    Pages 181-195
  9. Shigeo Kusuoka
    Pages 197-202
  10. Ikuko Sawashima
    Pages 247-259
  11. S. Simons
    Pages 261-265
  12. Kensuke Tanaka
    Pages 275-287
  13. Akira Yamazaki
    Pages 289-299
  14. Back Matter
    Pages 300-312

About these proceedings

Introduction

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 optimiza­ tions 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 the­ ories. Although our special emphasis was laid upon "nonlinearity" and "con­ vexity" in relation with economic theories, we also incorporated stochastic aspects of financial economics in our project taking account of the remark­ able rapid growth of this discipline during the last decade. The conference was designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who were seeking for effective mathematical weapons for their researches. Thirty invited talks (six of them were plenary talks) given at the conf- ence were roughly classified under the following six headings : 1) Nonlinear Dynamical Systems and Business Fluctuations, . 2) Fixed Point Theory, 3) Convex Analysis and Optimization, 4) Eigenvalue of Positive Operators, 5) Stochastic Analysis and Financial Market, 6) General Equilibrium Analysis.

Keywords

Dynamical Systems Dynamische Systeme Nichtlineare Analysis Nonlinear Analysis Stochastic Analysis Stochastik algorithms optimization

Editors and affiliations

  • Toru Maruyama
    • 1
  • Wataru Takahashi
    • 2
  1. 1.Department of Economics Keio UniversityMinato-Ku, Tokyo 108Japan
  2. 2.Department of Information ScienceTokyo Institute of TechnologyMeguro-ku, Tokyo 152Japan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-48719-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-58767-5
  • Online ISBN 978-3-642-48719-4
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site
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