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Assigning agents to a line

Author

Listed:
  • Hougaard, Jens Leth

    (University of Copenhagen)

  • Moreno-Ternero, Juan D.

    (Universidad Pablo de Olavide, and CORE, Univeristé catholique de Louvain)

  • Østerdal, Lars Peter

    (Department of Business and Economics)

Abstract

We consider the problem of assigning agents to a facility, represented by slots on a line, where only one agent can be served at a time. There is a finite number of agents, and each one wants to be served as close as possible to his preferred slot. We first consider deterministic assignment of agents to slots. We characterize (Pareto) efficiency in such setting and provide an algorithm for testing if a given deterministic assignment is efficient. We also characterize utilitarianism (minimization of the total gap between preferred and assigned slots) and provide a quick algorithm for testing if a given deterministic assignment is utilitarian. We then consider probabilistic assignment of agents to slots. In such framework, we characterize, making use of the previous algorithms, a method which is ordinally efficient and utilitarian.

Suggested Citation

  • Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2012. "Assigning agents to a line," Discussion Papers on Economics 11/2012, University of Southern Denmark, Department of Economics.
  • Handle: RePEc:hhs:sdueko:2012_011
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    Cited by:

    1. CORNUEJOLS, Gérard & WOLSEY, Laurence & YILDIZ, Sercan, 2013. "Sufficiency of cut-generating functions," LIDAM Discussion Papers CORE 2013027, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. François Maniquet & Massimo Morelli, 2015. "Approval quorums dominate participation quorums," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 1-27, June.
    3. Aziz, Haris & Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2017. "Computational aspects of assigning agents to a line," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 93-99.
    4. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2014. "Assigning agents to a line," Games and Economic Behavior, Elsevier, vol. 87(C), pages 539-553.
    5. Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2019. "Recent developments in the queueing problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(1), pages 1-23, April.
    6. Youngsub Chun & Boram Park, 2017. "A graph theoretic approach to the slot allocation problem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 133-152, January.
    7. Yu Zhou & Youngsub Chun & Shigehiro Serizawa, 2021. "A characterization of the Vickery rule in slot allocation problems," ISER Discussion Paper 1120, Institute of Social and Economic Research, Osaka University.

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    More about this item

    Keywords

    Random assignment; ordinal efficiency; ex post efficiency; congested facility; utilitarianism;
    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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