IDEAS home Printed from https://ideas.repec.org/p/hal/pseptp/halshs-04205864.html
   My bibliography  Save this paper

Sufficient conditions for a “simple” decentralization with consumption externalities

Author

Listed:
  • Elena del Mercato

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Van-Quy Nguyen

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

We consider a pure exchange economy with consumption externalities in preferences. We use the notion of competitive equilibrium à la Nash. We provide the Social Redistribution assumption to restore the Second Welfare Theorem. We then introduce the differentiable characterizations of Social and Strong Redistribution. We show that all these conditions are weaker than other relevant assumptions studied in the literature. Our conditions entail interesting results on the decentralized implementation of Pareto optima, that link together the competitive supporting price and the shadow price of the utilitarian social planner. Finally, we provide a specific condition for Bergson-Samuelson utility functions, which has a nice interpretation in terms of positive or negative externalities.

Suggested Citation

  • Elena del Mercato & Van-Quy Nguyen, 2023. "Sufficient conditions for a “simple” decentralization with consumption externalities," PSE-Ecole d'économie de Paris (Postprint) halshs-04205864, HAL.
  • Handle: RePEc:hal:pseptp:halshs-04205864
    DOI: 10.1016/j.jet.2023.105637
    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 search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702.
    2. John Geanakoplos & H M Polemchakis, 2008. "Pareto Improving Taxes," Levine's Working Paper Archive 122247000000002219, David K. Levine.
    3. Renaud Bourlès & Yann Bramoullé & Eduardo Perez‐Richet, 2017. "Altruism in Networks," Econometrica, Econometric Society, vol. 85, pages 675-689, March.
    4. Winter, Sidney Jr., 1969. "A simple remark on the second optimality theorem of welfare economics," Journal of Economic Theory, Elsevier, vol. 1(1), pages 99-103, June.
    5. Geanakoplos, John & Polemarchakis, H.M., 2008. "Pareto improving taxes," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 682-696, July.
    6. Foley, Duncan K, 1970. "Lindahl's Solution and the Core of an Economy with Public Goods," Econometrica, Econometric Society, vol. 38(1), pages 66-72, January.
    7. Osana, Hiroaki, 1972. "Externalities and the basic theorems of welfare economics," Journal of Economic Theory, Elsevier, vol. 4(3), pages 401-414, June.
    8. Rader, Trout, 1972. "Theory of General Economic Equilibrium," Elsevier Monographs, Elsevier, edition 1, number 9780125750400.
    9. Martin Dufwenberg & Paul Heidhues & Georg Kirchsteiger & Frank Riedel & Joel Sobel, 2011. "Other-Regarding Preferences in General Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(2), pages 613-639.
    10. Parks, Robert P., 1991. "Pareto irrelevant externalities," Journal of Economic Theory, Elsevier, vol. 54(1), pages 165-179, June.
    Full references (including those not matched with items on IDEAS)

    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. Elena L. Del Mercato & Van Quy Nguyen, 2021. "Sufficient conditions for a "simple" Second Welfare Theorem with other-regarding preferences," Documents de travail du Centre d'Economie de la Sorbonne 21029, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    2. Van Quy Nguyen, 2020. "Endowments-regarding preferences," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02966848, HAL.
    3. 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.
    4. Van Quy Nguyen, 2020. "Endowments-regarding preferences," Post-Print halshs-02966848, HAL.
    5. 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.
    6. Elena L. Mercato & Vincenzo Platino, 2017. "On the regularity of smooth production economies with externalities: competitive equilibrium à la Nash," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 287-307, January.
    7. W D A Bryant, 2009. "General Equilibrium:Theory and Evidence," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6875, January.
    8. Carvajal, Andrés & Song, Xinxi, 2022. "A simple(r) Lindahl solution to the provision of public goods with warm-glow: Efficiency and implementation," Economics Letters, Elsevier, vol. 211(C).
    9. Velez, Rodrigo A., 2017. "Inequity-averse preferences in general equilibrium," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 166-175.
    10. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    11. Carvajal, Andrés & Song, Xinxi, 2022. "Implementing Lindahl allocations in a warm-glow economy," Economics Letters, Elsevier, vol. 217(C).
    12. Bisin, A. & Geanakoplos, J.D. & Gottardi, P. & Minelli, E. & Polemarchakis, H., 2011. "Markets and contracts," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 279-288.
    13. M. Lombardi & S. Tonin, 2020. "On trade in bilateral oligopolies with altruistic and spiteful agents," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 203-218, October.
    14. Arvaniti, Maria & Carvajal, Andrés, 2018. "Risk externalities: When financial imperfections are not the problem, but part of the solution," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 87-100.
    15. Herakles Polemarchakis, 2015. "Markets and Efficiency," The Japanese Economic Review, Japanese Economic Association, vol. 66(2), pages 150-166, June.
    16. Heifetz, Aviad & Minelli, Enrico & Polemarchakis, Herakles, 2023. "Affective interdependence and welfare," The Warwick Economics Research Paper Series (TWERPS) 1450, University of Warwick, Department of Economics.
    17. Alejandro Manelli, 1990. "Core Convergence Without Monotone Preferences or Free Disposal," Discussion Papers 891, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    18. Gaël Giraud & Cécile Renouard, 2011. "In search of an alternative to shareholder value maximization," Post-Print hal-00609153, HAL.
    19. Daron Acemoglu & Alp Simsek, 2010. "Moral Hazard and Efficiency in General Equilibrium with Anonymous Trading," Levine's Working Paper Archive 661465000000000232, David K. Levine.
    20. Pascal Courty & Merwan Engineer, 2019. "A pure hedonic theory of utility and status: Unhappy but efficient invidious comparisons," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 21(4), pages 601-621, August.

    More about this item

    JEL classification:

    • 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:pseptp:halshs-04205864. 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: Caroline Bauer (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.