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Welfare lower bounds and strategy-proofness in the queueing problem

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  • Chun, Youngsub
  • Yengin, Duygu

Abstract

We investigate the implications of welfare lower bounds together with queue-efficiency and strategy-proofness in the context of the queueing problem. First, we introduce the k-welfare lower bound, which requires that each agent should be guaranteed her utility at the kth queue position with zero transfer. For each k, we show that the k-pivotal rules (Mitra and Mutuswami, 2011) achieve the minimal deficit in each problem among all rules satisfying queue-efficiency, strategy-proofness, and the k-welfare lower bound. Next, we consider the identical costs lower bound, which is a counterpart of the identical preferences lower bound in our context, and show that when there is an odd number of agents, the k-pivotal rules with k=n+12 achieve the minimal deficit in each problem among all rules satisfying queue-efficiency, strategy-proofness, and the identical costs lower bound. Our results provide an alternative justification for the k-pivotal rules.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:gamebe:v:102:y:2017:i:c:p:462-476
    DOI: 10.1016/j.geb.2017.02.005
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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. Chun, Youngsub & Mitra, Manipushpak & Mutuswami, Suresh, 2019. "Egalitarianism in the queueing problem," Journal of Mathematical Economics, Elsevier, vol. 81(C), pages 48-56.
    3. Yengin, Duygu & Chun, Youngsub, 2020. "No-envy, solidarity, and strategy-proofness in the queueing problem," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 87-97.
    4. Duygu Yengin, 2017. "No-envy and egalitarian-equivalence under multi-object-demand for heterogeneous objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 81-108, January.
    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 & Manipushpak Mitra & Suresh Mutuswami, 2023. "Balanced VCG mechanisms for sequencing problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 35-46, January.
    7. 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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    More about this item

    Keywords

    Queueing problem; Queue-efficiency; Strategy-proofness; k-Pivotal rules; k-Welfare lower bound; Identical costs lower bound;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative 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
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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