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Population monotonic and strategy-proof mechanisms respecting welfare lower bounds

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  • Yengin, Duygu

Abstract

The significance of population monotonicity and welfare bounds is well-recognized in the fair division literature. We consider the welfare bounds that are central to the fair allocation literature, namely, the identical-preferences lower-bound, individual rationality, the stand-alone lower-bound, and k-fairness. We characterize population monotonic and incentive compatible mechanisms which allocate an object efficiently and respect a welfare lower bound chosen in the fair allocation problem of allocating a collectively owned indivisible good or bad when monetary transfers are possible and preferences are private information.

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  • Yengin, Duygu, 2013. "Population monotonic and strategy-proof mechanisms respecting welfare lower bounds," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 389-397.
    • Handle: RePEc:eee:mateco:v:49:y:2013:i:5:p:389-397
    DOI: 10.1016/j.jmateco.2013.05.005
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    Cited by:

    1. 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.
    2. 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.
    3. Yengin, Duygu, 2013. "Population monotonic and strategy-proof mechanisms respecting welfare lower bounds," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 389-397.
    4. William Thomson, 2016. "Non-bossiness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 665-696, October.
    5. 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.
    6. 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.
    7. 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).
    8. Mackenzie, Andrew & Trudeau, Christian, 2023. "On Groves mechanisms for costly inclusion," Theoretical Economics, Econometric Society, vol. 18(3), July.

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    More about this item

    Keywords

    Welfare bounds; The identical-preferences lower-bound; Population monotonicity; Allocation of an indivisible good and money; The Groves mechanisms; Strategy-proofness;
    All these keywords.

    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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