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Characterizing Welfare-egalitarian Mechanisms with Solidarity When Valuations are Private Information

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  • Yengin Duygu

    (University of Adelaide)

Abstract

In the problem of assigning indivisible goods and monetary transfers, we characterize welfare-egalitarian mechanisms (that are decision-efficient and incentive compatible) with an axiom of solidarity under preference changes and a fair ranking axiom of order preservation. This result is in line with characterizations of egalitarian rules with solidarity in other economic models. We also show that we can replace order-preservation with egalitarian-equivalence or no-envy (on the subadditive domain) and still characterize the welfare-egalitarian class. However, if we weaken order preservation to symmetry, mechanisms that are not welfare-egalitarian exist. We also study upper bounds on deficit and welfare lower bounds that characterize subclasses of the welfare-egalitarian class.

Suggested Citation

  • 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.
  • Handle: RePEc:bpj:bejtec:v:12:y:2012:i:1:n:12
    DOI: 10.1515/1935-1704.1789
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    Cited by:

    1. 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.
    2. 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.
    3. Grossman, Zachary & Pincus, Jonathan & Shapiro, Perry & Yengin, Duygu, 2019. "Second-best mechanisms for land assembly and hold-out problems," Journal of Public Economics, Elsevier, vol. 175(C), pages 1-16.
    4. 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).
    5. Mackenzie, Andrew & Trudeau, Christian, 0. "On Groves mechanisms for costly inclusion," Theoretical Economics, Econometric Society.
    6. 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.
    7. Duygu Yengin, 2011. "Population Monotonic and Strategy-Proof Mechanisms Respecting Welfare Lower Bounds," School of Economics Working Papers 2011-34, University of Adelaide, School of Economics.
    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.

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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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