Advances in Mathematical Economics

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 (CREST-CNRS), 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).

It is planned to publish this series once a year under the auspices of the Research Center of Mathematical Economics (Tokyo) 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 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, this series will also invite articles which might be considered too long for publication in journals

Inhalt
On the fiber product of Young measures with application to a control problem with measures.- The compactness of Pr(K).- Recursive methods in probability control.- Approximation of expectation of diffusion processes based on Lie algebra and Malliavin calculus.- Optimal solutions of the Monge problem.- Valuation of mortgage-backed securities based on unobservable prepayment costs.- Fixed point theorems in Hausdorff topological vector spaces and economic equilibrium theory.- Monetary equilibrium with buying and selling price spread without transactions costs.- Instructions for Authoers.