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Weak group strategy-proof and queue-efficient mechanisms for the queueing problem with multiple machines

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  • Conan Mukherjee

Abstract

We first provide the complete characterization of mechanisms that satisfy weak group strategy-proofness and queue-efficiency in the multiple machine queueing problem with two agents. For any such mechanism, there can be at most one point of discontinuity in the transfer map. We then state a necessary condition for mechanisms to satisfy queue-efficiency, weak group strategy-proofness and continuity, with more than two agents. Finally, we provide a class of mechanisms that satisfy queue-efficiency, weak group strategy-proofness and continuity. Copyright Springer-Verlag 2013

Suggested Citation

  • Conan Mukherjee, 2013. "Weak group strategy-proof and queue-efficient mechanisms for the queueing problem with multiple machines," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 131-163, February.
  • Handle: RePEc:spr:jogath:v:42:y:2013:i:1:p:131-163
    DOI: 10.1007/s00182-012-0326-x
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    Cited by:

    1. 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.
    2. Hagen, Martin, 2023. "Collusion-proof mechanisms for multi-unit procurement," Games and Economic Behavior, Elsevier, vol. 138(C), pages 281-298.
    3. Parikshit De & Manipushpak Mitra, 2017. "Incentives and justice for sequencing problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(2), pages 239-264, August.
    4. Conan Mukherjee, 2020. "On group strategyproof and optimal object allocation," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 289-304, October.
    5. Banerjee, Sreoshi & De, Parikshit & Mitra, Manipushpak, 2020. "A welfarist approach to sequencing problems with incentives," MPRA Paper 107188, University Library of Munich, Germany.
    6. De, Parikshit, 2013. "Incentive and normative analysis on sequencing problem," MPRA Paper 55127, University Library of Munich, Germany.

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    More about this item

    Keywords

    Queueing problem; Weak group strategy-proofness; Continuous mechanism; D71; D82; D74;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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