Advances in Mathematical Economics
A lot of economic problems can formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Convers
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MATHEMATICAL ECONOMICS Managing
Editors
Shigeo Kusuoka University of Tokyo Tokyo, JAPAN
Akira Yamazaki Meisei University Tokyo, JAPAN
Editors Robert Anderson University of California, Berkeley Berkeley, U.S.A. Charles Castaing Universite Montpellier II Montpellier, FRANCE Frank H. Clarke Universite de Lyon I Villeurbanne, FRANCE Egbert Dierker University of Vienna Vienna, AUSTRIA Darrell Duffie Stanford University Stanford, U.S.A. Lawrence C. Evans University of California, Berkeley Berkeley, U.S.A. Takao Fujimoto Fukuoka University Fukuoka, JAPAN Jean-Michel Grandmont CREST-CNRS Malakoff, FRANCE
Norimichi Hirano Yokohama National University Yokohama, JAPAN Leonid Hurwicz University of Minnesota MinneapoUs, U.S.A. Tatsuro Ichiishi Hitotsubashi University Tokyo, JAPAN Alexander loffe Israel Institute of Technology Haifa, ISRAEL Seiichi Iwamoto Kyushu University Fukuoka, JAPAN Kazuya Kamiya University of Tokyo Tokyo, JAPAN Kunio Kawamata Keio University Tokyo, JAPAN
Norio Kikuchi Keio University Yokohama, JAPAN Tom M aniyama Keio University Tokyo, JAPAN Hiroshi M atano University of Tokyo Tokyo, JAPAN Kazuo Nishimura Kyoto University Kyoto, JAPAN Marcel K. Richter University of Minnesota Minneapolis, U.S.A. Yoichiro Takahashi Kyoto University Kyoto, JAPAN Michel Valadier Universite Montpellier II Montpellier, FRANCE Makoto Yano Keio University Tokyo, JAPAN
Aims and Scope. The project is to publish Advances in Mathematical Economics once a year under the auspices of the Research Center for Mathematical Economics. It is designed to bring together those mathematicians who are seriously interested in obtaining new challenging stimuli from economic theories and those economists who are seeking effective mathematical tools for their research. The scope of Advances in Mathematical Economics includes, but is not limited to, the following fields: - Economic theories in variousfieldsbased on rigorous mathematical reasoning. - Mathematical methods (e.g., analysis, algebra, geometry, probability) motivated by economic theories. - Mathematical results of potential relevance to economic theory. - Historical study of mathematical economics. Authors are asked to develop their original results as fully as possible and also to give a clear-cut expository overview of the problem under discussion. Consequently, we will also invite articles which might be considered too long for publication in journals.
S. Kusuoka, A. Yamazaki (Eds.)
Advances in Mathematical Economics Volume 10
Springer
Shigeo Kusuoka Professor Graduate School of Mathematical Sciences University of Tokyo 3-8-1 Komaba, Meguro-ku Tokyo, 153-0041 Japan
Akira Yamazaki Professor Department of Economics Meisei University Hino Tokyo, 191-8506 Japan
ISBN 978-4-431-72733-0 Springer Tokyo Berlin Heidelberg New York
Printed on acid-free paper Springer is a part of Springer Science-hBusiness Media springer.com ©Springer Japan 2007 Fainted in Japan This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, spec
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