Advances in Mathematical Economics Volume 17
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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Volume 17
Managing Editors Shigeo Kusuoka
Toru Maruyama
The University of Tokyo Tokyo, JAPAN
Keio University Tokyo, JAPAN
Editors Robert Anderson University of California, Berkeley Berkeley, U.S.A.
Jean-Michel Grandmont CREST-CNRS Malakoff, FRANCE
Kunio Kawamata Keio University Tokyo, JAPAN
Charles Castaing Universit´e Montpellier II Montpellier, FRANCE
Norimichi Hirano Yokohama National University Yokohama, JAPAN
Hiroshi Matano The University of Tokyo Tokyo, JAPAN
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.
Kazuo Nishimura Kyoto University Kyoto, JAPAN
Tatsuro Ichiishi The Ohio State University Ohio, U.S.A. Marcel K. Richter University of Minnesota Minneapolis, U.S.A. Alexander Ioffe Israel Institute of Yoichiro Takahashi Technology The University of Tokyo Haifa, ISRAEL Tokyo, JAPAN
Lawrence C. Evans University of California, Berkeley Berkeley, U.S.A.
Seiichi Iwamoto Kyushu University Fukuoka, JAPAN
Akira Yamazaki Meisei University Tokyo, JAPAN
Takao Fujimoto Fukuoka University Fukuoka, JAPAN
Kazuya Kamiya The University of Tokyo Tokyo, 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.
Shigeo Kusuoka • Toru Maruyama Editors
Advances in Mathematical Economics Volume 17
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Editors Shigeo Kusuoka Professor Graduate School of Mathematical Sciences The University of Tokyo 3-8-1 Komaba, Meguro-ku Tokyo 153-8914, Japan Toru Maruyama Professor Department of Economics Keio University 2-15-45 Mita, Minato-ku Tokyo 108-8345, Japan
ISSN 1866-2226 1866-2234 (electronic) ISBN 978-4-431-54323-7 978-4-431-54324-4 (eBook) DOI 10.1007/978-4-431-54324-4 Springer Tokyo Heidelberg New York Dordrecht London c Springer Japan 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcastin
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