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Equitable rent division on a soft budget

Author

Listed:
  • Velez, Rodrigo A.
Abstract
We study the incentive properties of envy-free mechanisms for the allocation of rooms and payments of rent among financially constrained roommates. Each agent reports their values for rooms, their housing earmark (soft budget), and a coefficient that reflects the difficulty the agent experiences from having to pay over this amount. Then an envy-free allocation for these reports is recommended. The complete information non-cooperative outcomes of each of these mechanisms are exactly the envy-free allocations with respect to true preferences if and only if the admissible budget violation coefficients have a bound.

Suggested Citation

  • Velez, Rodrigo A., 2023. "Equitable rent division on a soft budget," Games and Economic Behavior, Elsevier, vol. 139(C), pages 1-14.
    • Handle: RePEc:eee:gamebe:v:139:y:2023:i:c:p:1-14
    DOI: 10.1016/j.geb.2023.01.008
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    References listed on IDEAS

    as
    1. Nicolò, Antonio & Velez, Rodrigo A., 2017. "Divide and compromise," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 100-110.
    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. 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.
    4. Gabrielle Demange & Ahmet Alkan & David Gale, 1991. "Fair Allocation of Indivisible Goods and Money and Criteria of Justice," Post-Print halshs-00670945, HAL.
    5. Piotr Dworczak & Scott Duke Kominers & Mohammad Akbarpour, 2021. "Redistribution Through Markets," Econometrica, Econometric Society, vol. 89(4), pages 1665-1698, July.
    6. Kazumura, Tomoya & Mishra, Debasis & Serizawa, Shigehiro, 2020. "Mechanism design without quasilinearity," Theoretical Economics, Econometric Society, vol. 15(2), May.
    7. Svensson, Lars-Gunnar, 1983. "Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness," Econometrica, Econometric Society, vol. 51(4), pages 939-954, July.
    8. Velez, Rodrigo A., 2011. "Are incentives against economic justice?," Journal of Economic Theory, Elsevier, vol. 146(1), pages 326-345, January.
    9. Velez, Rodrigo A., 2015. "Sincere and sophisticated players in an equal-income market," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1114-1129.
    10. Cramton, Peter & Gibbons, Robert & Klemperer, Paul, 1987. "Dissolving a Partnership Efficiently," Econometrica, Econometric Society, vol. 55(3), pages 615-632, May.
    11. , & , & ,, 2014. "Budget-balance, fairness and minimal manipulability," Theoretical Economics, Econometric Society, vol. 9(3), September.
    12. Benny Moldovanu, 2002. "How to Dissolve a Partnership," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 158(1), pages 66-80, March.
    13. 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.
    14. Alkan, Ahmet & Demange, Gabrielle & Gale, David, 1991. "Fair Allocation of Indivisible Goods and Criteria of Justice," Econometrica, Econometric Society, vol. 59(4), pages 1023-1039, July.
    15. Saijo, Tatsuyoshi & Tatamitani, Yoshikatsu & Yamato, Takehiko, 1996. "Toward Natural Implementation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 949-980, November.
    16. Tadenuma Koichi & Thomson William, 1995. "Games of Fair Division," Games and Economic Behavior, Elsevier, vol. 9(2), pages 191-204, May.
    17. Pai, Mallesh M. & Vohra, Rakesh, 2014. "Optimal auctions with financially constrained buyers," Journal of Economic Theory, Elsevier, vol. 150(C), pages 383-425.
    18. 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.
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    More about this item

    Keywords

    Budget constraints; Equitable rent division; Market design; Algorithmic game theory; No-envy; Quasi-linear preferences;
    All these keywords.

    JEL classification:

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

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