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Population Monotonic and Strategy-Proof Mechanisms Respecting Welfare Lower Bounds

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  • Duygu Yengin

    (School of Economics, University of Adelaide)

Abstract

The significance of population monotonicity and welfare bounds is well-recognized in the fair division literature. We characterize population monotonic and incentive compatible mechanisms which allocate the goods efficiently and respect a welfare lower bound chosen in the fair allocation problem of allocating collectively owned indivisible goods or bads when monetary transfers are possible and preferences are private information. 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 also compare the strength and associated budget deficits of and the logical relations between the aforementioned lower bounds.

Suggested Citation

  • 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.
    • Handle: RePEc:adl:wpaper:2011-34
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    File URL: https://media.adelaide.edu.au/economics/papers/doc/wp2011-34.pdf
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    References listed on IDEAS

    as
    1. 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.
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    12. 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.
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    More about this item

    Keywords

    welfare bounds; the identical-preferences lower-bound; individual rationality; the stand-alone lower-bound; k-fairness; population monotonicity; collective ownership; allocation of indivisible goods and money; NIMBY problems; imposition of tasks; 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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