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Fairness and Formation Rules of Coalitions

Author

Listed:
  • Chiara Donnini

    (Università di Napoli Parthenope)

  • Maria Laura Pesce

    (Università di Napoli Federico II and CSEF)

Abstract

In this paper, we study the problem of a fair redistribution of resources among agents of an exchange economy and how certain limitations imposed on coalition formation may impact the set of allocations judged fair. The study is conducted in atomless economies as well as in the so-called mixed markets.

Suggested Citation

  • Chiara Donnini & Maria Laura Pesce, 2021. "Fairness and Formation Rules of Coalitions," CSEF Working Papers 624, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 24 May 2023.
    • Handle: RePEc:sef:csefwp:624
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    References listed on IDEAS

    as
    1. Ken‐Ichi Shimomura, 2022. "The bargaining set and coalition formation," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 16-37, March.
    2. 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.
    3. Achille Basile & Maria Graziano & Marialaura Pesce, 2014. "On fairness of equilibria in economies with differential information," Theory and Decision, Springer, vol. 76(4), pages 573-599, April.
    4. Schmeidler, David, 1972. "A Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 579-580, May.
    5. Varian, Hal R., 1976. "Two problems in the theory of fairness," Journal of Public Economics, Elsevier, vol. 5(3-4), pages 249-260.
    6. Marie-Laure Cabon-Dhersin & Shyama Ramani, 2006. "Can social externalities solve the small coalitions puzzle in international environmental agreements ? [Les externalités sociales permettent-elles de résoudre la controverse théorique des "pet," Post-Print hal-02658300, HAL.
    7. Zhou, Lin, 1992. "Strictly fair allocations in large exchange economies," Journal of Economic Theory, Elsevier, vol. 57(1), pages 158-175.
    8. Okuda, Hidesuke & Shitovitz, Benyamin, 1985. "Core allocations and the dimension of the cone of efficiency price vectors," Journal of Economic Theory, Elsevier, vol. 35(1), pages 166-171, February.
    9. 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.
    10. 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.
    11. 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.
    12. Varian, Hal R., 1974. "Equity, envy, and efficiency," Journal of Economic Theory, Elsevier, vol. 9(1), pages 63-91, September.
    13. Gabszewicz, Jean Jaskold, 1975. "Coalitional Fairness of Allocations in Pure Exchange Economies," Econometrica, Econometric Society, vol. 43(4), pages 661-668, July.
    14. Marie-Laure Cabon-Dhersin & Shyama V. Ramani, 2006. "Can Social Externalities Solve the Small Coalitions Puzzle in International Environmental Agreements?," Economics Bulletin, AccessEcon, vol. 17(4), pages 1-8.
    15. Pazner, Elisha A., 1977. "Pitfalls in the theory of fairness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 458-466, April.
    16. 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.
    17. Thomson, William & Zhou, Lin, 1993. "Consistent Solutions in Atomless Economies," Econometrica, Econometric Society, vol. 61(3), pages 575-587, May.
    18. Carlos Hervés-Beloso & Emma Moreno-García & Nicholas C. Yannelis, 2006. "Characterization and incentive compatibility of Walrasian expectations equilibrium in infinite dimensional commodity spaces," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 119-139, Springer.
    19. Achille Basile & Maria Gabriella Graziano & Ciro Tarantino, 2018. "Coalitional fairness with participation rates," Journal of Economics, Springer, vol. 123(2), pages 97-139, March.
    20. Elisha A. Pazner & David Schmeidler, 1978. "Egalitarian Equivalent Allocations: A New Concept of Economic Equity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 92(4), pages 671-687.
    21. Thomson, William, 1982. "An informationally efficient equity criterion," Journal of Public Economics, Elsevier, vol. 18(2), pages 243-263, July.
    22. Thomson, William, 1988. "A study of choice correspondences in economies with a variable number of agents," Journal of Economic Theory, Elsevier, vol. 46(2), pages 237-254, December.
    23. 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.
    24. Robert P. Gilles, 2019. "Market Economies With An Endogenous Social Division Of Labor," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 60(2), pages 821-849, May.
    25. 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.
    26. Achille Basile & Maria Gabriella Graziano & Marialaura Pesce, 2016. "Oligopoly And Cost Sharing In Economies With Public Goods," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57, pages 487-506, May.
    27. Shitovitz, Benjamin, 1992. "Coalitional fair allocations in smooth mixed markets with an atomless sector," Mathematical Social Sciences, Elsevier, vol. 25(1), pages 27-40, December.
    28. Achille Basile & Maria Gabriella Graziano & Marialaura Pesce, 2016. "Oligopoly And Cost Sharing In Economies With Public Goods," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57(2), pages 487-506, May.
    29. 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.
    30. 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.
    31. Grodal, Birgit, 1972. "A Second Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 581-583, May.
    32. Vind, Karl, 1972. "A Third Remark on the Core of an Atomless Economy," Econometrica, Econometric Society, vol. 40(3), pages 585-586, May.
    33. Bhowmik, Anuj & Cao, Jiling, 2012. "Blocking efficiency in an economy with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 396-403.
    34. Giovanna Bimonte & Maria Graziano, 2009. "The measure of blocking coalitions in differential information economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 331-350, February.
    35. Achille Basile & Chiara Donnini & Maria Graziano, 2010. "Economies with informational asymmetries and limited vetoer coalitions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 147-180, October.
    36. Susumu Cato, 2012. "Fair allocations in large economies with unequal production skills," International Journal of Economic Theory, The International Society for Economic Theory, vol. 8(4), pages 321-336, December.
    37. Shitovitz, Benyamin, 1973. "Oligopoly in Markets with a Continuum of Traders," Econometrica, Econometric Society, vol. 41(3), pages 467-501, May.
    38. Herves-Beloso, Carlos & Moreno-Garcia, Emma & Yannelis, Nicholas C., 2005. "An equivalence theorem for a differential information economy," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 844-856, November.
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    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

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