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Pareto Optimality in Non-Convex Economies

Roger Guesnerie
Econometrica
Vol. 43, No. 1 (Jan., 1975), pp. 1-29
Published by: The Econometric Society
DOI: 10.2307/1913410
Stable URL: http://www.jstor.org/stable/1913410
Page Count: 29
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Pareto Optimality in Non-Convex Economies
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Abstract

This article uses the concept of "cone of interior displacements," which extends the notion of differentiability, to set up a characterization of Pareto optima in non-convex economies. A general theorem asserting that a Pareto optimum is a PA equilibrium is given and specifications are discussed. It is finally argued that the usual formulation of the doctrine of "marginal cost pricing"--as a doctrine Pareto optimal states in a non-convex decentralized economy--has unsatisfactory logical basis, and a way of defining a minimum degree of centralization inherent to non-convex economies is suggested.

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