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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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    References listed on IDEAS

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    9. R. Preston McAfee & John McMillan & Michael D. Whinston, 1989. "Multiproduct Monopoly, Commodity Bundling, and Correlation of Values," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(2), pages 371-383.
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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. Ravelojaona, Paola, 2019. "On constant elasticity of substitution – Constant elasticity of transformation Directional Distance Functions," European Journal of Operational Research, Elsevier, vol. 272(2), pages 780-791.
    3. Briec, Walter & Fukuyama, Hirofumi & Ravelojaona, Paola, 2021. "Exponential distance function and duality theory," European Journal of Operational Research, Elsevier, vol. 293(3), pages 1002-1014.
    4. Arnaud Abad & Paola Ravelojaona, 2022. "A generalization of environmental productivity analysis," Post-Print hal-03592375, HAL.
    5. Walter Briec & Kristiaan Kerstens & Ignace Van de Woestyne, 2016. "Congestion in production correspondences," Journal of Economics, Springer, vol. 119(1), pages 65-90, September.
    6. Kenneth A. Baerenklau & María Pérez-Urdiales, 2019. "Can Allocation-Based Water Rates Promote Conservation and Increase Welfare? A California Case Study," Water Economics and Policy (WEP), World Scientific Publishing Co. Pte. Ltd., vol. 5(02), pages 1-26, April.
    7. A. Abad & P. Ravelojaona, 2022. "A generalization of environmental productivity analysis," Journal of Productivity Analysis, Springer, vol. 57(1), pages 61-78, February.
    8. Jean Paul Chavas, 2015. "Coase Revisited: Economic Efficiency under Externalities, Transaction Costs, and Nonconvexity," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 171(4), pages 709-734, December.
    9. Arnaud Abad & Paola Ravelojaona, 2020. "A Generalization of Environmental Productivity Analysis," Working Papers hal-02964799, HAL.
    10. 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.
    11. Hacopian Dolatabadi, Sarineh & Latify, Mohammad Amin & Karshenas, Hamidreza & Sharifi, Alimorad, 2022. "On pricing issues in electricity markets in the presence of externalities," Energy, Elsevier, vol. 246(C).
    12. Bogdan Klishchuk, 2018. "Multiple markets: new perspective on nonlinear pricing," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(2), pages 525-545, August.
    13. 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.

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    More about this item

    Keywords

    Efficiency; Zero-maximality; Non-convexity; Nonlinear pricing; C02; D5; D6;
    All these keywords.

    JEL classification:

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

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