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 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.

Local risk-minimization for Barndorff-Nielsen and Shephard modelswith volatility risk premium._ On a fractional differential inclusion in Banach space under weak compactness condition._ On First-Order Partial Differential Equations: Theory and Application._ Real Radicals and Finite Convergence of Polynominal Optimization Problems._ On Sufficiently-Diffused Information in Bayesian Games: A Dialectical Formalization._ On Differentiated and Indivisible Commodities: An Expository Re-Framing of Mas-Colell's 1975 Model._ Survey of the theory of extremal problems._ Fourier Analysis of Periodic Weakly Stationary Processes : A Note on Slutsky's Observation._ Applied results of a fixed point theorem in partially ordered sets to fractional order boundary value problems.