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...

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 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.

Under the assumption that the utility function is real analytic, we construct a complete metric on the equilibrium manifold with fixed total resources such that a minimal geodesic joining any two regular equilibria intersects the set of critical equilibria in a finite number of points.

Under the assumption that the utility function is real analytic, we construct a complete metric on the equilibrium manifold with fixed total resources such that a minimal geodesic joining any two regular equilibria intersects the set of critical equilibria in a finite number of points.