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Egalitarianism in the queueing problem

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  • Chun, Youngsub
  • Mitra, Manipushpak
  • Mutuswami, Suresh

Abstract

We use the Lorenz criterion to select new allocation rules for the queueing problem. We first show that the Lorenz criterion selects a unique rule from four distinct subsets of Pareto efficient allocation rules satisfying some fairness concept. We then compare these four rules whenever possible. When we cannot compare, we use the lexicographic maximin and the lexicographic minimax criteria to make a comparison. However, a Lorenz optimal rule does not exist on the set of Pareto efficient and strategy-proof rules.

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  • Chun, Youngsub & Mitra, Manipushpak & Mutuswami, Suresh, 2019. "Egalitarianism in the queueing problem," Journal of Mathematical Economics, Elsevier, vol. 81(C), pages 48-56.
    • Handle: RePEc:eee:mateco:v:81:y:2019:i:c:p:48-56
    DOI: 10.1016/j.jmateco.2018.12.005
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    Cited by:

    1. Banerjee, Sreoshi, 2023. "Stability and fairness in sequencing games: optimistic approach and pessimistic scenarios," MPRA Paper 118680, University Library of Munich, Germany.
    2. Matthias Deceuninck & Stijn Vuyst & Dieter Claeys & Dieter Fiems, 2021. "Appointment games with unobservable and observable schedules," Annals of Operations Research, Springer, vol. 307(1), pages 93-110, December.
    3. Banerjee, Sreoshi, 2024. "On identifying efficient, fair and stable allocations in "generalized" sequencing games," MPRA Paper 120188, University Library of Munich, Germany.
    4. Banerjee, Sreoshi & Mitra, Manipushpak, 2021. "Lorenz optimality for sequencing problems with welfare bounds," Economics Letters, Elsevier, vol. 205(C).
    5. Banerjee, Sreoshi & De, Parikshit & Mitra, Manipushpak, 2020. "A welfarist approach to sequencing problems with incentives," MPRA Paper 107188, University Library of Munich, Germany.

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