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 are seeking effective mathematical tools for their research.

Optimal Control Problems Governed By A Second Order Ordinary Differential Equation With M-Point Boundary Condition (Charles Castaing, C. Godet-Thobie, Le Xuan Truongz, Bianca Satco).- Stochastic Mesh Methods For H¿Ormander Type Diffusion Processes (Shigeo Kusuoka and Yusuke Morimoto).- Turnpike Properties For Nonconcave Problems (Alexander J. Zaslavski).- A Characterization of Quasi-Concave Function in View of the Integrability Theory (Yuhki Hosoya).