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On economic efficiency under non-convexity

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  • Jean-Paul Chavas

    ()

  • Walter Briec

    ()

Abstract

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

Suggested Citation

  • Jean-Paul Chavas & Walter Briec, 2012. "On economic efficiency under non-convexity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(3), pages 671-701, August.
  • Handle: RePEc:spr:joecth:v:50:y:2012:i:3:p:671-701
    DOI: 10.1007/s00199-010-0587-1
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    File URL: http://hdl.handle.net/10.1007/s00199-010-0587-1
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    References listed on IDEAS

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    1. 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.
    2. Armstrong, Mark & Vickers, John, 2001. "Competitive Price Discrimination," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 579-605, Winter.
    3. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
    4. Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
    5. 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.
    6. 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.
    7. Guesnerie, Roger, 1975. "Pareto Optimality in Non-Convex Economies," Econometrica, Econometric Society, vol. 43(1), pages 1-29, January.
    8. 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.
    9. 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.
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    Citations

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    Cited by:

    1. E. Avisoa, 2016. "European banks’ technical efficiency and performance: do business models matter? The case of European co-operatives banks," Débats économiques et financiers 25, Banque de France.
    2. Jean-Paul Chavas & Kwansoo Kim, 2015. "Nonparametric analysis of technology and productivity under non-convexity: a neighborhood-based approach," Journal of Productivity Analysis, Springer, vol. 43(1), pages 59-74, February.
    3. Walter Briec & Kristiaan Kerstens & Ignace Van de Woestyne, 2016. "Congestion in production correspondences," Journal of Economics, Springer, vol. 119(1), pages 65-90, September.
    4. Mark Müser & Harald Dyckhoff, 2017. "Quality splitting in waste incineration due to non-convex production possibilities," Journal of Business Economics, Springer, vol. 87(1), pages 73-96, January.

    More about this item

    Keywords

    Efficiency; Zero-maximality; Non-convexity; Nonlinear pricing; C02; D5; D6;

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D6 - Microeconomics - - Welfare Economics

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