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This title in other editionsOther titles in the Advances in Mathematical Economics series:
Advances in Mathematical Economics #6: Advances in Mathematical Economicsby Shigeo Kusuoka
Synopses & ReviewsPublisher Comments: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. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. 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 seek effective mathematical tools for their researchers. The editorial board of this series comprises the following prominent economists and mathematicians: Managing Editors: S. Kusuoka (Univ. Tokyo), T. Maruyama (Keio Univ.); Editors: R. Anderson (U.C. Berkeley), C. Castaing (Univ. Montpellier), F. H. Clarke (Univ. Lyon I), G. Debreu (U.C. Berkeley), E. Dierker (Univ. Vienna), D. Duffie (Stanford Univ.), L.C. Evans (U.C. Berkeley), T. Fujimoto (Okayama Univ.), J.M. Grandmont (CRESTCNRS), N. Hirano (Yokohama National Univ.), L. Hurwicz (Univ. of Minnesota), T. Ichiishi (Ohio State Univ.), A. Ioffe (Israel Institute of Technology), S. Iwamoto (Kyushu Univ.), K. Kamiya (Univ. Tokyo), K. Kawamata (Keio Univ.), N. Kikuchi (Keio Univ.), H. Matano (Univ. Tokyo), K. Nishimura (Kyoto Univ.), M. K. Richter (Univ. Minnesota), Y. Takahashi (Kyoto Univ.), M. Valadier (Univ. Montpellier II), M. Yano (Keio Univ).
Table of ContentsC. Castaing and P. Raynaud de Fitte: On the fiber product of Young measures with application to a control problem with measures. D. Glycopantis and A. Muir: The Compactness of Pr(K). S. Iwamoto: Recursive methods in probability control. S. Kusuoka: Approximation of expectation of diffusion processes based on Lie algebra and Malliavin calculus. V.L. Levin: Optimal solutions of the Monge problem. H. Nakagawa and T. Shouda: Valuation of mortgagebacked securities based on unobservable prepayment costs. K. Urai and A. Yoshimachi: Fixed point theorems in Hausdorff topological vector spaces and economic equilibrium theory. A. Yamazaki: Monetary equilibrium with buying and selling price spread without transactions costs. Subject Index.
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