About manifolds and determinacy in general equilibrium theory

Abstract

In this paper we prove that the social equilibrium set, of an exchange economy, with consumption space as a subset of a Banach space is a Banach manifold, and this characterization does not depend on the number of commodities. In the way to obtain this characterization we will show that the set of social weights of equilibrium, associated with a given distribution of the initial endowments, is finite.