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Egalitarian-equivalent Groves mechanisms in the allocation of heterogenous objects

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  • Duygu Yengin

Abstract

We study the problem of allocating objects when monetary transfers are possible. We are interested in mechanisms that allocate the objects in an efficient way and induce the agents to report their true preferences. Within the class of such mechanisms, first we characterize egalitarian-equivalent mechanisms. Then, we add a bounded-deficit condition and characterize the corresponding class. Finally, we investigate the relations between egalitarian-equivalence and other fairness notions such as nhttps://media.adelaide.edu.au/economics/
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  • Duygu Yengin, 2012. "Egalitarian-equivalent Groves mechanisms in the allocation of heterogenous objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(1), pages 137-160, January.
    • Handle: RePEc:spr:sochwe:v:38:y:2012:i:1:p:137-160
    DOI: 10.1007/s00355-010-0523-0
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    Cited by:

    1. Sprumont, Yves, 2013. "Constrained-optimal strategy-proof assignment: Beyond the Groves mechanisms," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1102-1121.
    2. Jung S. You & Ruben Juarez, 2021. "Incentive-compatible simple mechanisms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(4), pages 1569-1589, June.
    3. Christopher P. Chambers & Michael Richter, 2023. "Ordinal allocation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 5-14, January.
    4. Chun, Youngsub & Yengin, Duygu, 2017. "Welfare lower bounds and strategy-proofness in the queueing problem," Games and Economic Behavior, Elsevier, vol. 102(C), pages 462-476.
    5. Duygu Yengin, 2011. "Population Monotonic and Strategy-Proof Mechanisms Respecting Welfare Lower Bounds," School of Economics and Public Policy Working Papers 2011-34, University of Adelaide, School of Economics and Public Policy.
    6. Yengin Duygu, 2012. "Characterizing Welfare-egalitarian Mechanisms with Solidarity When Valuations are Private Information," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-35, April.
    7. Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2014. "Egalitarian equivalence and strategyproofness in the queueing problem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 425-442, June.
    8. Duygu Yengin, 2013. "Identical Preferences Lower Bound for Allocation of Heterogenous Tasks and NIMBY Problems," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 15(4), pages 580-601, August.
    9. Yengin, Duygu, 2013. "Population monotonic and strategy-proof mechanisms respecting welfare lower bounds," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 389-397.
    10. William Thomson, 2016. "Non-bossiness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 665-696, October.
    11. Yengin, Duygu & Chun, Youngsub, 2020. "No-envy, solidarity, and strategy-proofness in the queueing problem," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 87-97.
    12. Duygu Yengin, 2017. "No-envy and egalitarian-equivalence under multi-object-demand for heterogeneous objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 81-108, January.
    13. 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).
    14. Hagen, Martin, 2023. "Collusion-proof mechanisms for multi-unit procurement," Games and Economic Behavior, Elsevier, vol. 138(C), pages 281-298.
    15. Itai Ashlagi & Shigehiro Serizawa, 2012. "Characterizing Vickrey allocation rule by anonymity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 531-542, March.
    16. Yu Zhou & Youngsub Chun & Shigehiro Serizawa, 2022. "A characterization of the Vickrey rule in slot allocation problems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 38-49, March.
    17. Mackenzie, Andrew & Trudeau, Christian, 2023. "On Groves mechanisms for costly inclusion," Theoretical Economics, Econometric Society, vol. 18(3), July.
    18. Conan Mukherjee, 2014. "Fair and group strategy-proof good allocation with money," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(2), pages 289-311, February.
    19. Shinji Ohseto, 2021. "Strategy-proof and Pareto efficient allocation of indivisible goods: general impossibility domains," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(2), pages 419-432, June.
    20. Miki Kato & Shinji Ohseto & Shohei Tamura, 2015. "Strategy-proofness versus symmetry in economies with an indivisible good and money," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 195-207, February.
    21. Yi, Jianxin & Li, Yong, 2016. "A general impossibility theorem and its application to individual rights," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 79-86.

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    More about this item

    JEL classification:

    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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