Econometrica: Jan 1975, Volume 43, Issue 1

Pareto Optimality in Non-Convex Economies

https://doi.org/0012-9682(197501)43:1<1:POINE>2.0.CO;2-#
p. 1-30

Roger Guesnerie

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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