IDEAS home Printed from https://ideas.repec.org/p/hal/journl/halshs-00355353.html

Existence of competitive equilibria with externalities: A differential viewpoint

Author

Listed:
  • Elena L. del Mercato

    (CSEF - Centre of Studies in Economics and Finance - UNISA - Università degli Studi di Salerno = University of Salerno, DIMAD - Dipartimento di Scienze Economiche e Statistiche - UNISA - Università degli Studi di Salerno = University of Salerno)

Abstract

We consider a class of pure exchange economies with externalities. Each consumption set is described by a function called possibility function which depends on the individual initial endowment. Moreover, each possibility function, as well as each utility function, depends on the consumptions of all households. Our definition of competitive equilibrium with externalities includes as a particular case the classical definition. Using homotopy arguments, under differentiability and boundary conditions, we show that for all economies the set of equilibria is non-empty and compact. This work is the first step to encompass externalities in the global analysis of equilibria.

Suggested Citation

  • Elena L. del Mercato, 2006. "Existence of competitive equilibria with externalities: A differential viewpoint," Post-Print halshs-00355353, HAL.
    • Handle: RePEc:hal:journl:halshs-00355353
    DOI: 10.1016/j.jmateco.2005.06.003
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    Other versions of this item:

    Citations

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


    Cited by:

    1. Christian Pietro & Maria Gabriella Graziano & Vincenzo Platino, 2022. "Social loss with respect to the core of an economy with externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 487-508, April.
    2. Van Quy Nguyen, 2020. "Endowments-regarding preferences," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02966848, HAL.
    3. Elena L. Mercato & Vincenzo Platino, 2017. "Private ownership economies with externalities and existence of competitive equilibria: a differentiable approach," Journal of Economics, Springer, vol. 121(1), pages 75-98, May.
    4. Vincenzo Platino, 2021. "Externalities in private ownership production economies with possibility functions. An existence result," Metroeconomica, Wiley Blackwell, vol. 72(3), pages 509-525, July.
    5. Mandel, Antoine, 2008. "An index formula for production economies with externalities," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1385-1397, December.
    6. Van-Quy Nguyen & Jean-Marc Bonnisseau & Elena L. Del Mercato, 2024. "Pareto improving taxes with externalities," Documents de travail du Centre d'Economie de la Sorbonne 24007, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    7. Xefteris, Dimitrios & Ziros, Nicholas, 2018. "Strategic vote trading under complete information," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 52-58.
    8. Balasko, Yves, 2015. "Wealth concerns and equilibrium," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 92-101.
    9. Van Quy Nguyen, 2020. "Endowments-regarding preferences," Post-Print halshs-02966848, HAL.
    10. Van Quy Nguyen, 2020. "Endowments-regarding preferences," Documents de travail du Centre d'Economie de la Sorbonne 20017, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    11. Jean-Marc Bonnisseau & Elena L. del Mercato, 2005. "Competitive equilibria with consumption possibility depending on endowments: a global analysis," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00197474, HAL.
    12. Nguyen, Van-Quy, 2021. "Endowment-regarding preferences," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    13. Jean-Marc Bonnisseau & Elena Mercato, 2010. "Externalities, consumption constraints and regular economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(1), pages 123-147, July.
    14. Jean-Marc Bonnisseau & Elena L. del Mercato, 2007. "Possibility functions and regular economies," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00159638, HAL.
    15. Nikolas Tsakas & Dimitrios Xefteris & Nicholas Ziros, 2021. "Vote Trading in Power-Sharing Systems: A Laboratory Investigation," The Economic Journal, Royal Economic Society, vol. 131(636), pages 1849-1882.
    16. Ericson Richard E. & Kung Fan-chin, 2015. "Fundamental Non-convexity and Externalities: A Differentiable Approach," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 15(1), pages 49-62, January.
    17. Bonnisseau, Jean-Marc & del Mercato, Elena L., 2008. "General consumption constraints and regular economies," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1286-1301, December.
    18. del Mercato, Elena L., 2006. "Existence of competitive equilibria with externalities: A differential viewpoint," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 525-543, August.
    19. Kung, Fan-chin, 2008. "Voluntary contributions to multiple public goods in a production economy with widespread externalities," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1364-1378, December.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D62 - Microeconomics - - Welfare Economics - - - Externalities

    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:hal:journl:halshs-00355353. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.