IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v50y2012i3p671-701.html
   My bibliography  Save this article

On economic efficiency under non-convexity

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00199-010-0587-1
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00199-010-0587-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. R. H. Coase, 2013. "The Problem of Social Cost," Journal of Law and Economics, University of Chicago Press, vol. 56(4), pages 837-877.
    3. A. M. Rubinov & X. X. Huang & X. Q. Yang, 2002. "The Zero Duality Gap Property and Lower Semicontinuity of the Perturbation Function," Mathematics of Operations Research, INFORMS, vol. 27(4), pages 775-791, November.
    4. Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
    5. Armstrong, Mark & Vickers, John, 2001. "Competitive Price Discrimination," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 579-605, Winter.
    6. Paul A. Samuelson, 1956. "Social Indifference Curves," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 1-22.
    7. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
    8. 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.
    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.
    10. Guesnerie, Roger, 1975. "Pareto Optimality in Non-Convex Economies," Econometrica, Econometric Society, vol. 43(1), pages 1-29, January.
    11. 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.
    12. 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)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Marie-Noëlle Calès & Laurent Granier & Nadège Marchand, 2012. "Competition between Clearing Houses on the European Market," Post-Print halshs-00959121, HAL.
    3. Jeon, Doh-Shin & Menicucci, Domenico, 2009. "Bundling and Competition for Slots: On the Portfolio Effects of Bundling," IDEI Working Papers 574, Institut d'Économie Industrielle (IDEI), Toulouse, revised Jul 2011.
    4. Chavas, Jean-Paul, 2013. "On Demand Analysis and Dynamics: A Benefit Function Approach," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 149683, Agricultural and Applied Economics Association.
    5. Vardges Hovhannisyan, 2018. "A structural model of cost pass-through: the case of the US yogurt retailing," Empirical Economics, Springer, vol. 55(2), pages 805-830, September.
    6. Briec, Walter & Mussard, Stéphane, 2014. "Efficient firm groups: Allocative efficiency in cooperative games," European Journal of Operational Research, Elsevier, vol. 239(1), pages 286-296.
    7. Mark Armstrong, 2016. "Nonlinear Pricing," Annual Review of Economics, Annual Reviews, vol. 8(1), pages 583-614, October.
    8. Robert G. Chambers, 2023. "Path-based set representations," Journal of Productivity Analysis, Springer, vol. 60(3), pages 249-256, December.
    9. Francesco Andreoli & Alessandra Michelangeli, 2014. "Welfare Measures to Assess Urban Quality of Life," Working Papers 278, University of Milano-Bicocca, Department of Economics, revised Jun 2014.
    10. Juan-Pablo Montero & Esperanza Johnson, 2012. "Multimarket Contact, Bundling and Collusive Behavior," Documentos de Trabajo 420, Instituto de Economia. Pontificia Universidad Católica de Chile..
    11. Dubrocard, Anne & Prombo, Michel, 2012. "Performance environnementale et mesure de la productivité," MPRA Paper 41456, University Library of Munich, Germany.
    12. Walter Briec & Laurent Cavaignac, 2009. "An extension of the multi-output state-contingent production model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(1), pages 43-64, April.
    13. Jeon, Doh-Shin & Menicucci, Domenico, 2009. "Bundling and Competition for Slots: Sequential Pricing," TSE Working Papers 09-074, Toulouse School of Economics (TSE).
    14. Raphaël Giraud, 2012. "Money matters: an axiomatic theory of the endowment effect," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(2), pages 303-339, June.
    15. Shr, Yau-Huo & Zipp, Katherine, 2016. "Valuing complementarity between environmental goods and housing attributes with the benefit function: An application to flood hazards," 2016 Annual Meeting, July 31-August 2, Boston, Massachusetts 235961, Agricultural and Applied Economics Association.
    16. Jian Li & Jean‐Paul Chavas & Chongguang Li, 2022. "The dynamic effects of price support policy on price volatility: The case of the rice market in China," Agricultural Economics, International Association of Agricultural Economists, vol. 53(2), pages 307-320, March.
    17. Walter Briec & Kristiaan Kerstens & Jean Baptiste Lesourd, 2001. "Single Period Markowitz Portfolio Selection, Performance Gading and Duality: A Variation on Luenberger'a Shortage Function," Working Papers 0203, Departament Empresa, Universitat Autònoma de Barcelona, revised Apr 2002.
    18. Atakelty Hailu & Robert Chambers, 2012. "A Luenberger soil-quality indicator," Journal of Productivity Analysis, Springer, vol. 38(2), pages 145-154, October.
    19. W. Briec & K. Kerstens & J. B. Lesourd, 2004. "Single-Period Markowitz Portfolio Selection, Performance Gauging, and Duality: A Variation on the Luenberger Shortage Function," Journal of Optimization Theory and Applications, Springer, vol. 120(1), pages 1-27, January.
    20. Mark Armstrong & John Vickers, 2010. "Competitive Non-linear Pricing and Bundling," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 30-60.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joecth:v:50:y:2012:i:3:p:671-701. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.