More on economies with a finite set of Walrasian equilibria

Abstract

In the context of a pure exchange economy, I allow explicitly for boundary equilibria, and I demonstrate the following: Proposition. The graph of the Walrasian equilibrium correspondence is a piecewise continuously differentiable manifold. Furthermore, there exists an open dense set of economies, ω, such that for all w in ω (a) the number of equilibria of the economy w is finite; and (b) there exists a neighborhood V (w) on which the set of equilibria is represented by a finite family of piecewise continuously differentiable functions.