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Fairness and externalities

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  • Velez, Rodrigo A.

    (Department of Economics, Texas A&M University)

Abstract

We study equitable allocation of indivisible goods and money among agents with other-regarding preferences. First, we argue that Foley's (1967) equity test, i.e., the requirement that no agent prefer the allocation obtained by swapping her consumption with another agent, is suitable for our environment. Then, we establish the existence of allocations passing this test for a general domain of preferences that accommodates prominent other-regarding preferences. Our results are relevant for equitable allocation among inequity-averse agents and in a domain with linear externalities that we introduce. Finally, we present conditions guaranteeing that these allocations are efficient.

Suggested Citation

  • Velez, Rodrigo A., 2016. "Fairness and externalities," Theoretical Economics, Econometric Society, vol. 11(1), January.
    • Handle: RePEc:the:publsh:1651
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    Cited by:

    1. Rodrigo A. Velez, 2017. "Equitable rent division," Working Papers 20170818-001, Texas A&M University, Department of Economics.
    2. Rafael Treibich, 2019. "Welfare egalitarianism with other-regarding preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(1), pages 1-28, January.
    3. Klaus, Bettina, 2009. ""Fair marriages": An impossibility," Economics Letters, Elsevier, vol. 105(1), pages 74-75, October.
    4. 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.
    5. Velez, Rodrigo A., 2017. "Inequity-averse preferences in general equilibrium," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 166-175.
    6. Obara, Takuya & 小原, 拓也 & Tsugawa, Shuichi & Managi, Shunsuke, 2019. "Envy-free Pricing for Impure Public Good," CCES Discussion Paper Series 69, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
    7. Rodrigo A. Velez, 2017. "Sharing an increase of the rent fairly," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 59-80, January.
    8. 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.
    9. Van Quy Nguyen, 2020. "Endowments-regarding preferences," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02966848, HAL.
    10. Velez, Rodrigo A., 2015. "Sincere and sophisticated players in an equal-income market," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1114-1129.
    11. Mackenzie, Andrew & Trudeau, Christian, 2018. "Club good mechanisms: from free-riders to citizen-shareholders, from impossibility to characterization," Research Memorandum 012, Maastricht University, Graduate School of Business and Economics (GSBE).
    12. Masoud Seddighin & Hamed Saleh & Mohammad Ghodsi, 2021. "Maximin share guarantee for goods with positive externalities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(2), pages 291-324, February.
    13. Susumu Cato, 2020. "Compatibility of egalitarian equivalence and envy-freeness in a continuum-agent economy," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 97-103, April.
    14. 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.
    15. Mackenzie, Andrew & Trudeau, Christian, 2023. "On Groves mechanisms for costly inclusion," Theoretical Economics, Econometric Society, vol. 18(3), July.
    16. 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.
    17. Nicolò, Antonio & Velez, Rodrigo A., 2017. "Divide and compromise," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 100-110.
    18. Azrieli, Yaron & Shmaya, Eran, 2014. "Rental harmony with roommates," Journal of Economic Theory, Elsevier, vol. 153(C), pages 128-137.
    19. William Thomson, 2018. "On the terminology of economic design: a critical assessment and some proposals," Review of Economic Design, Springer;Society for Economic Design, vol. 22(1), pages 67-99, June.
    20. Obara Takuya & Tsugawa Shuichi, 2019. "Public Good Provision Financed by Nonlinear Income Tax Under Reduction of Envy," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 19(4), pages 1-16, October.
    21. SHINOZAKI, Hiroki, 2023. "Efficiency and strategy-proofness in object allocation problems with payments: Externalities with income effects," Discussion paper series HIAS-E-135, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    22. Van Quy Nguyen, 2020. "Endowments-regarding preferences," Post-Print halshs-02966848, HAL.
    23. Satoshi Nakada, 2018. "Envy-free allocation of indivisible goods with money and externalities," Economics Bulletin, AccessEcon, vol. 38(1), pages 52-59.
    24. 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.

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    More about this item

    Keywords

    Equity; efficiency; other-regarding preferences; equal income competitive allocations; first welfare theorem;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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