Advances in Mathematical Economics
Advances in Mathematical Economics is a publication of the Research Center for Mathematical Economics, which was founded in 1997 as an international scientific association that aims to promote research activities in mathematical economics. Our publication
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Toru Maruyama Keio University Tokyo, JAPAN
Editors Robert Anderson University of California, Berkeley Berkeley, U.S.A. Charles Castaing Universit´e Montpellier II Montpellier, FRANCE Francis H. Clarke Universit´e 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.
Kazuya Kamiya University of Tokyo Tokyo, JAPAN Kunio Kawamata Jean-Michel Grandmont Keio University CREST-CNRS Tokyo, JAPAN Malakoff, FRANCE Hiroshi Matano Norimichi Hirano University of Tokyo Yokohama National Tokyo, JAPAN University Kazuo Nishimura Yokohama, JAPAN Kyoto University Tatsuro Ichiishi Kyoto, JAPAN The Ohio State University Marcel K. Richter Ohio, U.S.A. University of Minnesota Alexander Ioffe Minneapolis, U.S.A. Israel Institute of Yoichiro Takahashi Technology Kyoto University Haifa, ISRAEL Kyoto, JAPAN Makoto Yano Seiichi Iwamoto Kyoto University Kyushu University Kyoto, JAPAN Fukuoka, JAPAN
Takao Fujimoto Fukuoka University Fukuoka, 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 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, T. Maruyama (Eds.)
Advances in Mathematical Economics Volume 12
123
Shigeo Kusuoka Professor Graduate School of Mathematical Sciences University of Tokyo 3-8-1 Komaba, Meguro-ku Tokyo, 153-0041 Japan Toru Maruyama Professor Department of Economics Keio University 2-15-45 Mita, Minato-ku Tokyo, 108-8345 Japan
ISSN 1866-2226 e-ISSN 1866-2234 ISBN 978-4-431-92934-5 e-ISBN 978-4-431-92935-2 DOI 10.1007/978-4-431-92935-2 Springer Tokyo Berlin Heidelberg New York c Springer 2009 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, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific
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