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Cost-symmetric transfer rules for queueing with arrivals

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  • 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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    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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