In a fixed total resources setting, we show that there exists a Riemannian metric g on the equilibrium manifold, which coincides with any (fixed) Riemannian metric with an economic meaning outside an arbitrarily small neighborhood of the set of critical equilibria, such that a minimal geodesic...

We show that, in a pure exchange smooth economy, a redistribution of endowments involving singular economies can be supported by a unique and continuous path of supporting equilibrium price vectors if this redistribution is the projection of a path on the equilibrium manifold transversal to the...

A model M is defined (see Anderlini and Canning (2001) and Yu et al. (2009) ) as a quadruple M={Λ,X,F,R}, where Λ and X represent the parameter and actions spaces, respectively, F is a correspondence defining the feasible actions and R is a real-valued function which measures the degree of...

We show the existence of a Riemannian metric on the equilibrium manifold such that a minimal geodesic connecting two (sufficiently close) regular equilibria intersects the set of critical equilibria in a finite number of points. This metric represents a solution to the following problem: given...

In a smooth pure exchange economy with fixed total resources we investigate whether the smooth selection property holds when endowments are redistributed across consumers through a continuous (non local) redistribution policy. We show that if the policy is regular then there exists a unique...

In a pure exchange smooth economy with fixed total resources, we construct a Riemannian metric on the equilibrium manifold such that the minimal geodesic connecting two (sufficiently close) regular equilibria intersects the codimension one stratum of critical equilibria in a finite number of points.

In a pure exchange smooth economy with fixed total resources, we define the length between two regular equilibria belonging to the equilibrium manifold as the number of intersection points of the evolution path connecting them with the set of critical equilibria. We show that there exists a...