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Are incentives against economic justice?

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  • Velez, Rodrigo A.

Abstract

We consider the problem of fairly allocating a social endowment of indivisible goods and money when the domain of admissible preferences contains, but is not restricted to, quasi-linear preferences. We analyze the manipulability of the Generalized Money Rawlsian Fair (GMRF) solutions. (i) We show that the Nash and strong Nash equilibrium correspondences of the "preference revelation game form" associated with each GMRF solution coincide with the no-envy solution (in equilibrium, efficiency is preserved according to agents' true preferences). (ii) A corollary is that the GMRF solutions "naturally implement" the no-envy solution in Nash and strong Nash equilibria.

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  • Velez, Rodrigo A., 2011. "Are incentives against economic justice?," Journal of Economic Theory, Elsevier, vol. 146(1), pages 326-345, January.
    • Handle: RePEc:eee:jetheo:v:146:y:2011:i:1:p:326-345
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    1. , & , & ,, 2014. "Budget-balance, fairness and minimal manipulability," Theoretical Economics, Econometric Society, vol. 9(3), September.
    2. 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.
    3. Rodrigo A. Velez, 2022. "A polynomial algorithm for maxmin and minmax envy-free rent division on a soft budget," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(1), pages 93-118, July.
    4. Tommy Andersson & Lars Ehlers, 2022. "An algorithm for identifying least manipulable envy‐free and budget‐balanced allocations in economies with indivisibilities," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 50-60, March.
    5. Brown, Alexander L. & Velez, Rodrigo A., 2016. "The costs and benefits of symmetry in common-ownership allocation problems," Games and Economic Behavior, Elsevier, vol. 96(C), pages 115-131.
    6. Fujinaka, Yuji & Wakayama, Takuma, 2015. "Maximal manipulation of envy-free solutions in economies with indivisible goods and money," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 165-185.
    7. Nicolò, Antonio & Velez, Rodrigo A., 2017. "Divide and compromise," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 100-110.
    8. Tommy ANDERSSON & Lars EHLERS, 2013. "An Algorithm for Identifying Agent-k-Linked Allocations in Economies with Indivisibilities," Cahiers de recherche 17-2013, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    9. Rodrigo A. Velez, 2017. "Equitable rent division," Working Papers 20170818-001, Texas A&M University, Department of Economics.
    10. Andersson, Tommy & Ehlers, Lars & Svensson, Lars-Gunnar, 2014. "Least manipulable Envy-free rules in economies with indivisibilities," Mathematical Social Sciences, Elsevier, vol. 69(C), pages 43-49.
    11. Velez, Rodrigo A., 2015. "Sincere and sophisticated players in an equal-income market," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1114-1129.
    12. Velez, Rodrigo A., 2023. "Equitable rent division on a soft budget," Games and Economic Behavior, Elsevier, vol. 139(C), pages 1-14.
    13. Parikshit De & Manipushpak Mitra, 2017. "Incentives and justice for sequencing problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(2), pages 239-264, August.
    14. Azrieli, Yaron & Shmaya, Eran, 2014. "Rental harmony with roommates," Journal of Economic Theory, Elsevier, vol. 153(C), pages 128-137.
    15. Velez, Rodrigo A. & Thomson, William, 2012. "Let them cheat!," Games and Economic Behavior, Elsevier, vol. 75(2), pages 948-963.
    16. Nanyang Bu, 2016. "Joint misrepresentation with bribes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(1), pages 115-125, January.
    17. Rodrigo A. Velez, 2019. "Expressive mechanisms for equitable rent division on a budget," Papers 1902.02935, arXiv.org, revised Apr 2020.

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