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Convex strategyproofness with an application to the probabilistic serial mechanism

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  • Ivan Balbuzanov

    (The University of Melbourne)

Abstract

We consider two natural notions of strategyproofness in random object-assignment mechanisms based on ordinal preferences. The two notions are stronger than weak strategyproofness but weaker than strategyproofness. We demonstrate that the two notions are equivalent, provide a geometric characterization of the new intermediate property which we call convex strategyproofness, and then show that the (generalized) probabilistic serial mechanism is, in fact, convexly strategyproof. We finish by showing that the property of weak envy-freeness of the random serial dictatorship can be strengthened in an analogous manner.

Suggested Citation

  • Ivan Balbuzanov, 2016. "Convex strategyproofness with an application to the probabilistic serial mechanism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(3), pages 511-520, March.
    • Handle: RePEc:spr:sochwe:v:46:y:2016:i:3:d:10.1007_s00355-015-0926-z
    DOI: 10.1007/s00355-015-0926-z
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    References listed on IDEAS

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    1. Atila Abdulkadiroglu & Tayfun Sonmez, 1998. "Random Serial Dictatorship and the Core from Random Endowments in House Allocation Problems," Econometrica, Econometric Society, vol. 66(3), pages 689-702, May.
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    5. Kojima, Fuhito & Manea, Mihai, 2010. "Incentives in the probabilistic serial mechanism," Journal of Economic Theory, Elsevier, vol. 145(1), pages 106-123, January.
    6. Katta, Akshay-Kumar & Sethuraman, Jay, 2006. "A solution to the random assignment problem on the full preference domain," Journal of Economic Theory, Elsevier, vol. 131(1), pages 231-250, November.
    7. Eric Budish & Yeon-Koo Che & Fuhito Kojima & Paul Milgrom, 2013. "Designing Random Allocation Mechanisms: Theory and Applications," American Economic Review, American Economic Association, vol. 103(2), pages 585-623, April.
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    Cited by:

    1. Shichijo, Tatsuhiro & Fukuda, Emiko, 2021. "Cost-sharing mechanism for excludable goods with generalized non-rivalry," Journal of Economic Theory, Elsevier, vol. 193(C).
    2. Balbuzanov, Ivan, 2022. "Constrained random matching," Journal of Economic Theory, Elsevier, vol. 203(C).
    3. Lê Nguyên Hoang, 2017. "Strategy-proofness of the randomized Condorcet voting system," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(3), pages 679-701, March.
    4. Noda, Shunya, 2023. "A planner-optimal matching mechanism and its incentive compatibility in a restricted domain," Games and Economic Behavior, Elsevier, vol. 141(C), pages 364-379.
    5. Felix Brandt & Patrick Lederer, 2024. "Weak Strategyproofness in Randomized Social Choice," Papers 2412.11977, arXiv.org.
    6. Sulagna Dasgupta & Debasis Mishra, 2022. "Ordinal Bayesian incentive compatibility in random assignment model," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 651-664, December.
    7. Sulagna Dasgupta & Debasis Mishra, 2020. "Ordinal Bayesian incentive compatibility in random assignment model," Papers 2009.13104, arXiv.org, revised May 2021.
    8. Mennle, Timo & Seuken, Sven, 2021. "Partial strategyproofness: Relaxing strategyproofness for the random assignment problem," Journal of Economic Theory, Elsevier, vol. 191(C).
    9. Karmokar, Madhuparna & Majumdar, Dipjyoti & Roy, Souvik, 2024. "Some further results on random OBIC rules," Mathematical Social Sciences, Elsevier, vol. 131(C), pages 102-112.

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