IDEAS home Printed from https://ideas.repec.org/p/sef/csefwp/624.html
   My bibliography  Save this paper

A Concept of Envy towards Coalitions

Author

Listed:
  • Chiara Donnini

    (Università di Napoli Parthenope)

  • Maria Laura Pesce

    (Università di Napoli Federico II and CSEF)

Abstract

We consider the notion of strict fairness, introduced by Zhou (1992), which requires, besides efficiency, that no agent prefers (or envies) the average bundle of any coalition to her bundle. We investigate the size of envied coalitions and if the set of strictly fair allocations changes because a limitation on the coalition formation is imposed. The study is conducted in atomless economies as well as in the so-called mixed markets.

Suggested Citation

  • Chiara Donnini & Maria Laura Pesce, 2021. "A Concept of Envy towards Coalitions," CSEF Working Papers 624, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
  • Handle: RePEc:sef:csefwp:624
    as

    Download full text from publisher

    File URL: https://www.csef.it/WP/wp624.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Garcia-Cutrin, Javier & Herves-Beloso, Carlos, 1993. "A Discrete Approach to Continuum Economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(3), pages 577-583, July.
    2. Herves-Beloso, Carlos & Moreno-Garcia, Emma & Nunez-Sanz, Carmelo & Rui Pascoa, Mario, 2000. "Blocking Efficacy of Small Coalitions in Myopic Economies," Journal of Economic Theory, Elsevier, vol. 93(1), pages 72-86, July.
    3. Schmeidler, David, 1972. "A Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 579-580, May.
    4. Zhou, Lin, 1992. "Strictly fair allocations in large exchange economies," Journal of Economic Theory, Elsevier, vol. 57(1), pages 158-175.
    5. Evren, Özgür & Hüsseinov, Farhad, 2008. "Theorems on the core of an economy with infinitely many commodities and consumers," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1180-1196, December.
    6. Chiara Donnini & Marialaura Pesce, 2020. "Strict fairness of equilibria in asymmetric information economies and mixed markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 107-124, February.
    7. Greenberg, Joseph & Shitovitz, Benyamin, 1994. "The optimistic stability of the core of mixed markets," Journal of Mathematical Economics, Elsevier, vol. 23(4), pages 379-386, July.
    8. Grodal, Birgit, 1972. "A Second Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 581-583, May.
    9. Pazner, Elisha A., 1977. "Pitfalls in the theory of fairness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 458-466, April.
    10. Achille Basile & Robert P. Gilles & Maria Gabriella Graziano & Marialaura Pesce, 2021. "The Core of economies with collective goods and a social division of labour," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1085-1119, April.
    11. Gabszewicz, Jean Jaskold & Mertens, Jean-Francois, 1971. "An Equivalence Theorem for the Core of an Economy Whose Atoms Are Not 'Too' Big," Econometrica, Econometric Society, vol. 39(5), pages 713-721, September.
    12. Vind, Karl, 1972. "A Third Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 585-586, May.
    13. Thomson, William & Zhou, Lin, 1993. "Consistent Solutions in Atomless Economies," Econometrica, Econometric Society, vol. 61(3), pages 575-587, May.
    14. Bhowmik, Anuj & Cao, Jiling, 2012. "Blocking efficiency in an economy with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 396-403.
    15. Elisha A. Pazner & David Schmeidler, 1978. "Egalitarian Equivalent Allocations: A New Concept of Economic Equity," The Quarterly Journal of Economics, Oxford University Press, vol. 92(4), pages 671-687.
    16. Achille Basile & Maria Gabriella Graziano & Ciro Tarantino, 2018. "Coalitional fairness with participation rates," Journal of Economics, Springer, vol. 123(2), pages 97-139, March.
    17. Shitovitz, Benyamin, 1973. "Oligopoly in Markets with a Continuum of Traders," Econometrica, Econometric Society, vol. 41(3), pages 467-501, May.
    18. Thomson, William, 1982. "An informationally efficient equity criterion," Journal of Public Economics, Elsevier, vol. 18(2), pages 243-263, July.
    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. Bhowmik, Anuj & Graziano, Maria Gabriella, 2015. "On Vind’s theorem for an economy with atoms and infinitely many commodities," Journal of Mathematical Economics, Elsevier, vol. 56(C), pages 26-36.
    2. Chiara Donnini & Marialaura Pesce, 2021. "Fairness and fuzzy coalitions," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 1033-1052, December.
    3. Bhowmik, Anuj & Cao, Jiling, 2013. "Robust efficiency in mixed economies with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 49-57.
    4. Anuj Bhowmik, 2015. "Core and coalitional fairness: the case of information sharing rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 461-494, November.
    5. Chiara Donnini & Marialaura Pesce, 2020. "Strict fairness of equilibria in asymmetric information economies and mixed markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 107-124, February.
    6. Anuj Bhowmik & Jiling Cao, 2013. "On the core and Walrasian expectations equilibrium in infinite dimensional commodity spaces," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(3), pages 537-560, August.
    7. Pesce, Marialaura, 2014. "The veto mechanism in atomic differential information economies," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 33-45.
    8. 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.
    9. Bhowmik Anuj & Gabriella Graziano Maria, 2020. "Blocking Coalitions and Fairness in Asset Markets and Asymmetric Information Economies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 20(1), pages 1-29, January.
    10. Bhowmik, Anuj & Cao, Jiling, 2018. "Ex-post core, fine core and rational expectations equilibrium allocations," Journal of Mathematical Economics, Elsevier, vol. 74(C), pages 128-138.
    11. He, Wei & Yannelis, Nicholas C., 2015. "Equilibrium theory under ambiguity," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 86-95.
    12. Javier Hervés-Estévez & Emma Moreno-García, 2015. "On restricted bargaining sets," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(3), pages 631-645, August.
    13. Bhowmik, Anuj & Cao, Jiling, 2011. "Infinite dimensional mixed economies with asymmetric information," MPRA Paper 35618, University Library of Munich, Germany.
    14. Herves-Beloso, Carlos & Meo, Claudia & Moreno Garcia, Emma, 2011. "On core solutions in economies with asymmetric information," MPRA Paper 30258, University Library of Munich, Germany, revised 12 Apr 2011.
    15. Chiara Donnini & Maria Laura Pesce, 2018. "Strict Fairness of Equilibria in Mixed and Asymmetric Information Economies," CSEF Working Papers 498, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    16. Achille Basile & Robert P. Gilles & Maria Gabriella Graziano & Marialaura Pesce, 2021. "The Core of economies with collective goods and a social division of labour," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 1085-1119, April.
    17. Hervés-Estévez, Javier & Moreno-García, Emma, 2012. "Some remarks on restricted bargaining sets," MPRA Paper 39385, University Library of Munich, Germany, revised 10 Jun 2012.
    18. Hervés-Beloso, Carlos & Moreno-Garci­a, Emma, 2008. "Competitive equilibria and the grand coalition," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 697-706, July.
    19. Urbinati, Niccolò, 2018. "A convexity result for the range of vector measures with applications to large economies," MPRA Paper 87185, University Library of Munich, Germany.
    20. Wei He & Nicholas C. Yannelis, 2013. "A New Perspective on Rational Expectations," Economics Discussion Paper Series 1317, Economics, The University of Manchester.

    More about this item

    Keywords

    Fairness; Envy-freeness; Equal-income Walrasian allocations; Coalitions.;
    All these keywords.

    JEL classification:

    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

    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:624. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/cssalit.html .

    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 hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.