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Stepwise ordinal efficiency for the random assignment problem

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  • Ramezanian, Rasoul
  • Feizi, Mehdi

Abstract

We introduce a notion of efficiency, called Stepwise Ordinal Efficiency (SOE), and prove that it coincides with a fairness notion of interim favoring ranks, in the sense of Harless (2018). We also prove that SOE implies ordinal efficiency, while it is not compatible with rank efficiency. Then, we provide an impossibility result which states that no mechanism meets SOE, weak strategy-proof, and strong equal treatment of equals. Finally, we show that a modified eating algorithm satisfies SOE.

Suggested Citation

  • Ramezanian, Rasoul & Feizi, Mehdi, 2021. "Stepwise ordinal efficiency for the random assignment problem," Journal of Mathematical Economics, Elsevier, vol. 92(C), pages 60-65.
    • Handle: RePEc:eee:mateco:v:92:y:2021:i:c:p:60-65
    DOI: 10.1016/j.jmateco.2020.10.005
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    References listed on IDEAS

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    1. 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.
    2. Varian, Hal R., 1974. "Equity, envy, and efficiency," Journal of Economic Theory, Elsevier, vol. 9(1), pages 63-91, September.
    3. Nesterov, Alexander S., 2017. "Fairness and efficiency in strategy-proof object allocation mechanisms," Journal of Economic Theory, Elsevier, vol. 170(C), pages 145-168.
    4. 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.
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    Cited by:

    1. Mehdi Feizi, 2023. "The object allocation problem with favoring upper ranks," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(2), pages 370-383, June.

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