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Characterizing a probabilistic version of the Boston mechanism under weak priorities

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  • Yang, Shanhui

Abstract

We characterize the probabilistic version of the Boston mechanism from Han (2024). This mechanism uniquely satisfies respect for rank, equal-rank ex-ante stability, and equal-rank equal-priority ordinal fairness. Additionally, it uniquely selects the rank-based leximin-optimal allocation among all equal-rank ex-ante stable allocations.

Suggested Citation

  • Yang, Shanhui, 2024. "Characterizing a probabilistic version of the Boston mechanism under weak priorities," Economics Letters, Elsevier, vol. 244(C).
    • Handle: RePEc:eee:ecolet:v:244:y:2024:i:c:s0165176524004774
    DOI: 10.1016/j.econlet.2024.111993
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    References listed on IDEAS

    as
    1. Han, Xiang, 2024. "A theory of fair random allocation under priorities," Theoretical Economics, Econometric Society, vol. 19(3), July.
    2. Bogomolnaia, Anna, 2015. "Random assignment: Redefining the serial rule," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 308-318.
    3. Kesten, Onur & Unver, Utku, 2015. "A theory of school choice lotteries," Theoretical Economics, Econometric Society, vol. 10(2), May.
    4. Doğan, Battal & Klaus, Bettina, 2018. "Object allocation via immediate-acceptance: Characterizations and an affirmative action application," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 140-156.
    5. 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.
    6. Hashimoto, Tadashi & Hirata, Daisuke & Kesten, Onur & Kurino, Morimitsu & Unver, Utku, 2014. "Two axiomatic approaches to the probabilistic serial mechanism," Theoretical Economics, Econometric Society, vol. 9(1), January.
    7. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Random allocation; Boston mechanism; Respect for rank; Rank-based leximin;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • 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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