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Efficiency in Random Resource Allocation and Social Choice

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  • Federico Echenique
  • Joseph Root
  • Fedor Sandomirskiy

Abstract

We study efficiency in general collective choice problems where agents have ordinal preferences and randomization is allowed. We explore the structure of preference profiles where ex-ante and ex-post efficiency coincide, offer a unifying perspective on the known results, and give several new characterizations. The results have implications for well-studied mechanisms including random serial dictatorship and a number of specific environments, including the dichotomous, single-peaked, and social choice domains.

Suggested Citation

  • Federico Echenique & Joseph Root & Fedor Sandomirskiy, 2022. "Efficiency in Random Resource Allocation and Social Choice," Papers 2203.06353, arXiv.org, revised Aug 2022.
  • Handle: RePEc:arx:papers:2203.06353
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    References listed on IDEAS

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    1. Manea, Mihai, 2008. "A constructive proof of the ordinal efficiency welfare theorem," Journal of Economic Theory, Elsevier, vol. 141(1), pages 276-281, July.
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    6. Bogomolnaia, Anna & Moulin, Herve & Stong, Richard, 2005. "Collective choice under dichotomous preferences," Journal of Economic Theory, Elsevier, vol. 122(2), pages 165-184, June.
    7. Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
    8. P. C. Fishburn, 1984. "Probabilistic Social Choice Based on Simple Voting Comparisons," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(4), pages 683-692.
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    Cited by:

    1. Sophie Bade & Joseph Root, 2023. "Royal Processions: Incentives, Efficiency and Fairness in Two-sided Matching," Papers 2301.13037, arXiv.org.

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