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Dynamic Assignment of Objects to Queuing Agents

Author

Listed:
  • Francis Bloch

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • David Cantala

Abstract

We analyze the dynamic assignment of objects to agents organized in a constant size waiting list. Applications include the assignment of social housing and organs for transplants. We analyze the optimal design of probabilistic queuing disciplines, punishment schemes, and information release. With private values, all agents prefer first-come first-served to the lottery, but waste is lower at the lottery. With common values, all agents prefer first-come first-served to any other mechanism, and waste is minimized at the lottery. Punishment schemes accelerate turnover in the queue and information release increases the value of agents at the top of the waiting list.

Suggested Citation

  • Francis Bloch & David Cantala, 2017. "Dynamic Assignment of Objects to Queuing Agents," PSE-Ecole d'économie de Paris (Postprint) halshs-03968341, HAL.
  • Handle: RePEc:hal:pseptp:halshs-03968341
    DOI: 10.1257/mic.20150183
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    Citations

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    Cited by:

    1. Schummer, James, 2021. "Influencing waiting lists," Journal of Economic Theory, Elsevier, vol. 195(C).
    2. Itai Ashlagi & Alvin E. Roth, 2021. "Kidney Exchange: An Operations Perspective," Management Science, INFORMS, vol. 67(9), pages 5455-5478, September.
    3. Baccara, Mariagiovanna & Lee, SangMok & Yariv, Leeat, 2023. "Task allocation and on-the-job training," Journal of Economic Theory, Elsevier, vol. 207(C).
    4. Lei, Xiaochang, 2023. "Optimal queue to minimize waste," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 87-94.

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