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Random assignments of bundles

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  • Chatterji, Shurojit
  • Liu, Peng

Abstract

We propose a model studying the random assignments of bundles with no free disposal. The key difference between our model and the one where objects are allocated (see Bogomolnaia and Moulin (2001)) is one of feasibility. The implications of this difference are significant. Firstly, the characterization of sd-efficient random assignments is more complex. Secondly, we are able to identify a preference restriction, called essential monotonicity, under which the random serial dictatorship rule (extended to the setting with bundles) is equivalent to the probabilistic serial rule (extended to the setting with bundles). This equivalence implies the existence of a rule on this restricted domain satisfying sd-efficiency, sd-strategy-proofness, and equal treatment of equals. Moreover, this rule only selects random assignments which can be decomposed as convex combinations of deterministic assignments.

Suggested Citation

  • Chatterji, Shurojit & Liu, Peng, 2020. "Random assignments of bundles," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 15-30.
    • Handle: RePEc:eee:mateco:v:87:y:2020:i:c:p:15-30
    DOI: 10.1016/j.jmateco.2019.12.003
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    References listed on IDEAS

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    Cited by:

    1. Aziz, Haris & Brandl, Florian, 2022. "The vigilant eating rule: A general approach for probabilistic economic design with constraints," Games and Economic Behavior, Elsevier, vol. 135(C), pages 168-187.
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    3. Chatterji, Shurojit & Liu, Peng, 2024. "On the decomposability of fractional allocations," Mathematical Social Sciences, Elsevier, vol. 132(C), pages 79-89.
    4. Ping Zhan, 2023. "A Simple Characterization of Assignment Mechanisms on Set Constraints," SN Operations Research Forum, Springer, vol. 4(2), pages 1-15, June.
    5. Peng Liu & Sijia Xu, 2024. "Presenting objects for random allocation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 26(4), August.

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