IDEAS home Printed from https://ideas.repec.org/p/sef/csefwp/538.html
   My bibliography  Save this paper

Social Loss with Respect to the Core of an Economy with Externalities

Author

Abstract

We consider a pure exchange economy with externalities. We adopt a cooperative approach to equilibrium analysis, allowing each individual to cooperate with others and to form coalitions. Individual preferences are affected by the consumption of all other agents in the economy, and the consumption set of each agent is affected by the coalition to which he/she belongs. Following Montesano (2002), we introduce a measure of social loss with respect to the gamma-core and alpha-core of the economy which completely characterizes the corresponding core allocations.

Suggested Citation

  • Christian Di Pietro & Maria Gabriella Graziano & Vincenzo Platino, 2019. "Social Loss with Respect to the Core of an Economy with Externalities," CSEF Working Papers 538, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 29 Aug 2019.
    • Handle: RePEc:sef:csefwp:538
    as

    Download full text from publisher

    File URL: http://www.csef.it/WP/wp538.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Graziano, Maria Gabriella & Meo, Claudia & Yannelis, Nicholas C., 2017. "Stable sets for exchange economies with interdependent preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 140(C), pages 267-286.
    2. 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.
    3. Bernard Cornet & Mihaela Topuzu, 2005. "Existence of equilibria for economies with externalities and a measure space of consumers," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 397-421, August.
    4. 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.
    5. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    6. Parkash Chander & Henry Tulkens, 2006. "The Core of an Economy with Multilateral Environmental Externalities," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 153-175, Springer.
    7. Ichiishi, Tatsuro, 1981. "A Social Coalitional Equilibrium Existence Lemma," Econometrica, Econometric Society, vol. 49(2), pages 369-377, March.
    8. 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.
    9. Asdrubali, Pierfederico, 1996. "Coalitional Instability of the Distributive Lindahl Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(3), pages 565-575, October.
    10. Pierfederico Asdrubali, 1996. "Coalitional instability of the distributive Lindahl equilibrium (☆)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(3), pages 565-575.
    11. Theodore Groves, 1979. "Efficient Collective Choice when Compensation is Possible," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(2), pages 227-241.
    12. 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.
    13. Scarf, Herbert E., 1971. "On the existence of a coopertive solution for a general class of N-person games," Journal of Economic Theory, Elsevier, vol. 3(2), pages 169-181, June.
    14. Jean-Jacques Laffont, 1988. "Fundamentals of Public Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262121271, December.
    15. Elena L. del Mercato, 2006. "The core of a coalitional exchange economy," Cahiers de la Maison des Sciences Economiques b06047, Université Panthéon-Sorbonne (Paris 1).
    16. Holly, Charles, 1994. "An Exchange Economy Can Have an Empty Alpha-Core," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(3), pages 453-461, May.
    17. Aldo Montesano, 2002. "Social loss with respect to the core of an economy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 763-767.
    18. Yannelis, Nicholas C, 1991. "The Core of an Economy with Differential Information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(2), pages 183-197, April.
    19. Balasko, Yves, 2015. "Wealth concerns and equilibrium," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 92-101.
    20. Carlos Hervés-Beloso & Claudia Meo & Emma Moreno-García, 2014. "Information and size of coalitions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 545-563, April.
    21. Velez, Rodrigo A., 2016. "Fairness and externalities," Theoretical Economics, Econometric Society, vol. 11(1), January.
    22. Borglin, Anders, 1973. "Price characterization of stable allocations in exchange economies with externalities," Journal of Economic Theory, Elsevier, vol. 6(5), pages 483-494, October.
    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. Maria Gabriella Graziano & Claudia Meo & Nicholas C. Yannelis, 2023. "Core and stable sets of exchange economies with externalities," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 27-44, April.
    2. Rabah Amir & Bernard Cornet & M. Ali Khan & David Levine & Edward C. Prescott, 2022. "Special Issue in honor of Nicholas C. Yannelis – Part II," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 377-385, April.

    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. 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.
    2. Graziano, Maria Gabriella & Meo, Claudia & Yannelis, Nicholas C., 2017. "Stable sets for exchange economies with interdependent preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 140(C), pages 267-286.
    3. 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.
    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. Van Quy Nguyen, 2020. "Endowments-regarding preferences," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02966848, HAL.
    6. Van Quy Nguyen, 2020. "Endowments-regarding preferences," Post-Print halshs-02966848, HAL.
    7. 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.
    8. Maria Gabriella Graziano & Marialaura Pesce & Vincenzo Platino, 2023. "Decentralization in Non-Convex Economies with Externalities," CSEF Working Papers 678, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    9. Yang, Zhe & Song, Qingping, 2022. "A weak α-core existence theorem of generalized games with infinitely many players and pseudo-utilities," Mathematical Social Sciences, Elsevier, vol. 116(C), pages 40-46.
    10. 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.
    11. Maria Gabriella Graziano & Claudia Meo & Nicholas C. Yannelis, 2020. "Shapley and Scarf housing markets with consumption externalities," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(5), pages 1481-1514, September.
    12. Vincenzo Scalzo, 2022. "Existence of alpha-core allocations in economies with non-ordered and discontinuous preferences," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 1-12, May.
    13. Maria Gabriella Graziano & Claudia Meo & Nicholas C. Yannelis, 2023. "Core and stable sets of exchange economies with externalities," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 27-44, April.
    14. Nguyen, Van-Quy, 2021. "Endowment-regarding preferences," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    15. Emma Moreno-García & Juan Pablo Torres-Martínez, 2020. "Information within coalitions: risk and ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 125-147, February.
    16. Yang, Zhe, 2020. "The weak α-core of exchange economies with a continuum of players and pseudo-utilities," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 43-50.
    17. Michael Zierhut, 2021. "Generic regularity of differentiated product oligopolies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 341-374, February.
    18. Maria Gabriella Graziano & Claudia Meo & Nicholas C. Yannelis, 2018. "Housing market models with consumption externalities," CSEF Working Papers 500, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    19. 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 1-14, January.
    20. He, Wei & Yannelis, Nicholas C., 2015. "Equilibrium theory under ambiguity," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 86-95.

    More about this item

    Keywords

    exchange economy; interdependent preferences; core; social loss;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D64 - Microeconomics - - Welfare Economics - - - Altruism; Philanthropy; Intergenerational Transfers

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:sef:csefwp:538. 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: Dr. Maria Carannante (email available below). General contact details of provider: https://edirc.repec.org/data/cssalit.html .

    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.