Advances in Mathematical Economics
A lot of economic problems can be 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. Conv
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MATHEMATICAL ECONOMICS Managing
Editors
Shigeo Kusuoka University of Tokyo Tokyo, JAPAN
Akira Yamazaki Hitotsubashi University Tokyo, JAPAN
Editors R o b e r t Anderson University of California, Berkeley Berkeley, U.S.A. Charles Castaing Universite Montpellier II Montpellier, FRANCE Prank H. Clarke Universite de Lyon I Villeurbanne, FRANCE Gerard Debreu University of California, Berkeley Berkeley, U.S.A. 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 Pujimoto Kagawa University Kagawa, JAPAN
Jean-Michel Grandmont Norio Kikuchi Keio University CREST-CNRS Yokohama, JAPAN Malakoff, FRANCE Norimichi Hirano Hiroshi Matano Yokohama National University of Tokyo University Tokyo, JAPAN Yokohama, JAPAN Kazuo Nishimura Leonid Hurwicz Kyoto University University of Minnesota Kyoto, JAPAN Minneapolis, U.S.A. Marcel K. Richter Tatsuro Ichiishi University of Minnesota Ohio State University Minneapolis, U.S.A. Ohio, U.S.A. Yoichiro Takahashi Alexander lofFe Kyoto University Israel Institute of Kyoto, JAPAN Technology Haifa, ISRAEL Michel Valadier Seiichi Iwamoto Universite Montpellier II Kyushu University Montpellier, FRANCE Fukuoka, JAPAN Toru Maruyama Kazuya Kamiya Keio University University of Tokyo Tokyo, JAPAN Tokyo, JAPAN Makoto Yano Kunio Kawamata Keio University Keio University Tokyo, JAPAN Tokyo, JAPAN
Aims and Scope. The project is to publish Advances in Mathematical Economics once a year under the auspices of the Research Center of 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 various fields based 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 7
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 Graduate Faculty of Economics Hitotsubashi University Kunitachi Tokyo, 186-8601 Japan
ISBN 4-431-24332-1 Springer-Verlag Tokyo Berlin Heidelberg New York Printed on acid-free paper Springer is a part of Springer Science-hBusiness Media springeronline.com
©Springer-Verlag Tokyo 2005 Printed in Japan This work is sub
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