This paper revisits the aggregation theorem of Chichilnisky (1980), replacing the original smooth topology by the closed convergence topology and responding to several comments (N. Baigent (1984, 1985, 1987, 1989), N. Baigent and P. Huang (1990) and M. LeBreton and J. Uriarte (1900 a, b)....

In this paper the issue of mathematical programming and optimization has being revisited. The theory of optimization deals with the development of models and methods that determine optimal solutions to mathematical problems defined. Mathematical model must be some function of any solution that...

This paper derives several simple matching algorithms for special cases of a continuous two sided matching model where agents have single peaked preferences and face no costs or restrictions to matching. These algorithms allow matches to be computed as an explicit function of the parameters of...

Abstract. This paper analyzes matching markets where agent types are n-vectors of characteristics--i.e. points in R^n --and agents prefer matches that are closer to them according to a distance metric on this set (horizontal preferences). First, given a few assumptions, I show that in the...

This paper attempts to analyze “central place theory” of spatial economics based on “supply and demand theory” in microeconomics and “field theory” in physics, and also discuss their relationship. Three most important research findings are described below. Firstly, the concept of...

A brief survey of the publications in mathematical economics, dealing with utility theory, probabilistic microeconomic models, and equilibrium under price rigidities, is given.

I study connected manifolds and prove that a proper map f: M - M is globally invertible when it has a nonvanishing Jacobian and the fundamental group pi (M) is finite. This includes finite and infinite dimensional manifolds. Reciprocally, if pi (M) is infinite, there exist locally invertible...