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Robust ex-post Pareto efficiency and fairness in random assignments: Two impossibility results

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  • Ramezanian, Rasoul
  • Feizi, Mehdi

Abstract

A random assignment is robust ex-post Pareto efficient whenever for any of its lottery decomposition, each deterministic assignment in its support is Pareto efficient. We show that ordinal efficiency implies robust ex-post Pareto efficiency while the reverse does not hold. We know that strategy-proof and ordinal efficient mechanisms satisfy neither equal treatment of equals nor equal division lower bound. We prove that it is not possible to avoid these two impossibilities by weakening ordinal efficiency to robust ex-post Pareto efficiency.

Suggested Citation

  • Ramezanian, Rasoul & Feizi, Mehdi, 2022. "Robust ex-post Pareto efficiency and fairness in random assignments: Two impossibility results," Games and Economic Behavior, Elsevier, vol. 135(C), pages 356-367.
    • Handle: RePEc:eee:gamebe:v:135:y:2022:i:c:p:356-367
    DOI: 10.1016/j.geb.2022.06.010
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    References listed on IDEAS

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    1. Zhang, Jun, 2020. "When are efficient and fair assignment mechanisms group strategy-proof?," Games and Economic Behavior, Elsevier, vol. 119(C), pages 251-266.
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    11. Nesterov, Alexander S., 2017. "Fairness and efficiency in strategy-proof object allocation mechanisms," Journal of Economic Theory, Elsevier, vol. 170(C), pages 145-168.
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    Cited by:

    1. Feizi, Mehdi & Ramezanian, Rasoul, 2023. "A new impossibility result for random assignments," Journal of Mathematical Economics, Elsevier, vol. 107(C).
    2. Jun Zhang, 2023. "On wastefulness of random assignments in discrete allocation problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(1), pages 289-310, July.
    3. Demeulemeester, Tom & Goossens, Dries & Hermans, Ben & Leus, Roel, 2023. "A pessimist’s approach to one-sided matching," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1087-1099.

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    More about this item

    Keywords

    Random assignment problem; Robust ex-post Pareto efficiency; Equal treatment of equals; Equal division lower bound;
    All these keywords.

    JEL classification:

    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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