On economic efficiency under non-convexity
This paper investigates economic efficiency under non-convexity. The analysis relies on a generalization of the separating hyperplane theorem under non-convexity. The concept of zero-maximality is used to characterize Pareto efficiency under non-convexity. We show the existence of a separating hypersurface that can be used to provide a dual characterization of efficient allocations. When the separating hypersurface is non-linear, this implies that non-linear pricing is an integral part of economic efficiency. Implications for the decentralization of economic decisions under non-convexity are discussed. Copyright Springer-Verlag 2012
Volume (Year): 50 (2012)
Issue (Month): 3 (August)
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References listed on IDEAS
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- Bonnisseau, Jean-Marc & Cornet, Bernard, 1988.
"Valuation equilibrium and pareto optimum in non-convex economies,"
Journal of Mathematical Economics,
Elsevier, vol. 17(2-3), pages 293-308, April.
- BONNISSEAU, Jean-Marc & CORNET, Bernard, "undated". "Valuation equilibrium and Pareto optimum in non-convex economies," CORE Discussion Papers RP 817, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Bonnisseau, J.-M. & Cornet, B., 1986. "Valuation equilibrium and Pareto optimum in nonconvex economies," CORE Discussion Papers 1986036, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Jean-Marc Bonnisseau & Bernard Cornet, 1988. "Valuation equilibrium and pareto optimum in non-convex economies," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00187225, HAL.
- Armstrong, Mark & Vickers, John, 2001. "Competitive Price Discrimination," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 579-605, Winter.
- Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
- Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
- Luenberger, David G, 1996. "Welfare from a Benefit Viewpoint," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(3), pages 445-462, April.
- R. Preston McAfee & John McMillan & Michael D. Whinston, 1989. "Multiproduct Monopoly, Commodity Bundling, and Correlation of Values," The Quarterly Journal of Economics, Oxford University Press, vol. 104(2), pages 371-383.
- Guesnerie, Roger, 1975. "Pareto Optimality in Non-Convex Economies," Econometrica, Econometric Society, vol. 43(1), pages 1-29, January.
- David G. Luenberger, 1996. "Welfare from a benefit viewpoint (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(3), pages 445-462.
- Janusz A. Ordover & John C. Panzar, 1980. "On the Nonexistence of Pareto Superior Outlay Schedules," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 351-354, Spring. Full references (including those not matched with items on IDEAS)