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
Takao Fujimoto Fukuoka University Fukuoka, JAPAN Jean-Michel Grandmont CREST-CNRS Malakoff, FRANCE
Francis H. Clarke Universit´e de Lyon I Villeurbanne, FRANCE
Norimichi Hirano Yokohama National University Yokohama, JAPAN
Egbert Dierker University of Vienna Vienna, AUSTRIA
Tatsuro Ichiishi The Ohio State University Ohio, U.S.A.
Darrell Duffie Stanford University Stanford, U.S.A.
Alexander Ioffe Israel Institute of Technology Haifa, ISRAEL
Lawrence C. Evans University of California, Berkeley Berkeley, U.S.A.
Seiichi Iwamoto Kyushu University Fukuoka, JAPAN
Kazuya Kamiya The University of Tokyo Tokyo, JAPAN Kunio Kawamata Keio University Tokyo, JAPAN Hiroshi Matano The 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 Makoto Yano Kyoto University Kyoto, 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 13
123
Shigeo Kusuoka Professor Graduate School of Mathematical Sciences The 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 978-4-431-99489-3 e-ISBN 978-4-431-99490-9 DOI 10.1007/978-4-431-99490-9 Springer Tokyo Dordrecht Heidelberg London New York c Springer 2010 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, eve
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