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Ex-post favoring ranks: a fairness notion for the random assignment problem

Author

Listed:
  • Rasoul Ramezanian

    (Ferdowsi University of Mashhad)

  • Mehdi Feizi

    (Ferdowsi University of Mashhad)

Abstract

We introduce two notions of ex-post fairness, namely ex-post favoring ranks (EFR) and robust ex-post favoring ranks, which consider whether objects are received by those agents who have the highest rank for them. We examine their compatibility with standard properties of random assignments and state some impossibility theorems. We also propose and formalize a revised version of the Boston mechanism and prove that it provides an EFR random assignment.

Suggested Citation

  • Rasoul Ramezanian & Mehdi Feizi, 2021. "Ex-post favoring ranks: a fairness notion for the random assignment problem," Review of Economic Design, Springer;Society for Economic Design, vol. 25(3), pages 157-176, September.
    • Handle: RePEc:spr:reecde:v:25:y:2021:i:3:d:10.1007_s10058-021-00246-7
    DOI: 10.1007/s10058-021-00246-7
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    References listed on IDEAS

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    1. Edi Karni & Tim Salmon & Barry Sopher, 2008. "Individual sense of fairness: an experimental study," Experimental Economics, Springer;Economic Science Association, vol. 11(2), pages 174-189, June.
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    3. Bogomolnaia, Anna & Moulin, Herve, 2001. "A New Solution to the Random Assignment Problem," Journal of Economic Theory, Elsevier, vol. 100(2), pages 295-328, October.
    4. Fuhito Kojima & M. Ünver, 2014. "The “Boston” school-choice mechanism: an axiomatic approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 515-544, April.
    5. Basteck, Christian, 2018. "Fair solutions to the random assignment problem," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 163-172.
    6. Nesterov, Alexander S., 2017. "Fairness and efficiency in strategy-proof object allocation mechanisms," Journal of Economic Theory, Elsevier, vol. 170(C), pages 145-168.
    7. Dur, Umut Mert, 2019. "The modified Boston mechanism," Mathematical Social Sciences, Elsevier, vol. 101(C), pages 31-40.
    8. Yajing Chen, 2016. "New axioms for immediate acceptance," Review of Economic Design, Springer;Society for Economic Design, vol. 20(4), pages 329-337, December.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Random assignment problem; Favoring higher ranks; Interim favoring ranks; Ex-post favoring ranks; Robust ex-post favoring ranks;
    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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