Advances in Mathematical Economics Volume 20
The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic p
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Shigeo Kusuoka Toru Maruyama Editors
Advances in Mathematical Economics Volume 20
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 Université Montpellier II Montpellier, FRANCE
Norimichi Hirano Yokohama National University Yokohama, JAPAN
Hiroshi Matano The University of Tokyo Tokyo, JAPAN
Francis H. Clarke Université 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
Tatsuro Ichiishi The Ohio State University Ohio, U.S.A. Alexander D. Ioffe Israel Institute of Technology Haifa, ISRAEL Seiichi Iwamoto Kyushu University Fukuoka, JAPAN Kazuya Kamiya The University of Tokyo Tokyo, JAPAN
Kazuo Nishimura Kyoto University Kyoto, JAPAN Yoichiro Takahashi The University of Tokyo Tokyo, JAPAN Akira Yamazaki Hitotsubashi University 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 forMathematical 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.
More information about this series at http://www.springer.com/series/4129
Shigeo Kusuoka • Toru Maruyama Editors
Advances in Mathematical Economics Volume 20
123
Editors Shigeo Kusuoka Professor Emeritus The University of Tokyo Tokyo, Japan
Toru Maruyama Professor Emeritus Keio University Tokyo, Japan
ISSN 1866-2226 ISSN 1866-2234 (electronic) Advances in Mathematical Economics ISBN 978-981-10-0475-9 ISBN 978-981-10-0476-6 (eBook) DOI 10.1007/978-981-10-0476-6
© Springer Science+Business Media Singapore 2016 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, broadcasting, reprodu
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