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Evolution paths on the equilibrium manifold

Andrea, Loi and Stefano, Matta (2006): Evolution paths on the equilibrium manifold.

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Abstract

In a pure exchange smooth economy with fixed total resources, we de- fine 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 minimal path according to this definition of length.

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