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Cost-symmetric transfer rules for queueing with arrivals

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Listed:
  • Han, Changyong
  • Chun, Youngsub

Abstract

For the queueing problem with arrivals, we investigate the implications of equal treatment of equal costs, which requires that two agents with the same unit waiting cost should end up with the same utility. We introduce the cost-symmetric min-transfer rule and show that it is the only rule satisfying efficiency, Pareto indifference, and independence of larger costs together with equal treatment of equal costs. This rule coincides with the minimal transfer rule (Maniquet, 2003) in the static queueing problem. On the other hand, by replacing independence of larger costs with independence of smaller costs, we characterize the cost-symmetric max-transfer rule, which coincides with the maximal transfer rule (Chun, 2006b) in the static queueing problem.

Suggested Citation

  • Han, Changyong & Chun, Youngsub, 2025. "Cost-symmetric transfer rules for queueing with arrivals," Mathematical Social Sciences, Elsevier, vol. 137(C).
    • Handle: RePEc:eee:matsoc:v:137:y:2025:i:c:s0165489625000319
    DOI: 10.1016/j.mathsocsci.2025.102416
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    References listed on IDEAS

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    1. Youngsub Chun, 2006. "No-envy in queueing problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 151-162, September.
    2. Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2019. "Rejoinder on: 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 34-36, April.
    3. Chun, Youngsub & Mitra, Manipushpak & Mutuswami, Suresh, 2019. "A characterization of the symmetrically balanced VCG rule in the queueing problem," Games and Economic Behavior, Elsevier, vol. 118(C), pages 486-490.
    4. KayI, Çagatay & Ramaekers, Eve, 2010. "Characterizations of Pareto-efficient, fair, and strategy-proof allocation rules in queueing problems," Games and Economic Behavior, Elsevier, vol. 68(1), pages 220-232, January.
    5. Maniquet, Francois, 2003. "A characterization of the Shapley value in queueing problems," Journal of Economic Theory, Elsevier, vol. 109(1), pages 90-103, March.
    6. Sambuddha Ghosh & Yan Long & Manipushpak Mitra, 2021. "Prior-free online mechanisms for queueing with arrivals," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(2), pages 671-700, September.
    7. Chun, Youngsub & Yengin, Duygu, 2017. "Welfare lower bounds and strategy-proofness in the queueing problem," Games and Economic Behavior, Elsevier, vol. 102(C), pages 462-476.
    8. Chun, Youngsub, 2006. "A pessimistic approach to the queueing problem," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 171-181, March.
    9. Mitra, Manipushpak & Mutuswami, Suresh, 2011. "Group strategyproofness in queueing models," Games and Economic Behavior, Elsevier, vol. 72(1), pages 242-254, May.
    10. Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2014. "Egalitarian equivalence and strategyproofness in the queueing problem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 425-442, June.
    11. Han, Changyong & Chun, Youngsub & Mitra, Manipushpak & Mutuswami, Suresh, 2024. "The on-line transfer rule for queueing with arrivals," Journal of Mathematical Economics, Elsevier, vol. 114(C).
    12. 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.
    13. Robert J. Dolan, 1978. "Incentive Mechanisms for Priority Queuing Problems," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 421-436, Autumn.
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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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