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Group Strategyproofness in Queueing Models

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  • Mitra, Manipushpak
  • Mutuswami, Sureh

Abstract

We examine the tradeoffs between two variants of group strategyproofness, efficiency and budget balance in queueing models. In general, group strategyproofness is incompatible with efficiency and budget balance. Weakening budget balance to feasibility, we show that the incompatibility persists with strong group strategyproofness. We then identify a necessary condition for weak group strategyproofness and efficiency and use it to show that these two requirements are incompatible with budget balance unless there are exactly three agents. We also demonstrate the compatibility when there are three agents. Finally, we identify a class of efficient and weak group strategyproof mechanisms that we call k-pivotal mechanisms and identify the complete subclass of these mechanisms that are feasible.

Suggested Citation

  • Mitra, Manipushpak & Mutuswami, Sureh, 2006. "Group Strategyproofness in Queueing Models," Economics Discussion Papers 8901, University of Essex, Department of Economics.
    • Handle: RePEc:esx:essedp:8901
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    Cited by:

    1. Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2017. "Reordering an existing queue," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(1), pages 65-87, June.
    2. Kazuhiko Hashimoto & Hiroki Saitoh, 2012. "Strategy-proof and anonymous rule in queueing problems: a relationship between equity and efficiency," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 473-480, March.
    3. 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.
    4. 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.
    5. Stark, Oded & Budzinski, Wiktor & Kosiorowski, Grzegorz, 2019. "Switching queues, cultural conventions, and social welfare," European Journal of Operational Research, Elsevier, vol. 278(3), pages 837-844.
    6. Chun, Youngsub & Mitra, Manipushpak, 2014. "Subgroup additivity in the queueing problem," European Journal of Operational Research, Elsevier, vol. 238(1), pages 281-289.
    7. 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.
    8. Sreoshi Banerjee & Parikshit De & Manipushpak Mitra, 2024. "Generalized welfare lower bounds and strategyproofness in sequencing problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(2), pages 323-357, September.
    9. 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.
    10. Atay, Ata & Trudeau, Christian, 2024. "Queueing games with an endogenous number of machines," Games and Economic Behavior, Elsevier, vol. 144(C), pages 104-125.
    11. Chun, Youngsub & Mitra, Manipushpak & Mutuswami, Suresh, 2019. "Egalitarianism in the queueing problem," Journal of Mathematical Economics, Elsevier, vol. 81(C), pages 48-56.
    12. Kazuhiko Hashimoto & Hiroki Saitoh, 2008. "Strategy-Proof and Anonymous Rule in Queueing Problems: A Relationship between Equity and Efficiency," Discussion Papers in Economics and Business 08-17, Osaka University, Graduate School of Economics.
    13. 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.
    14. 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.
    15. Hagen, Martin, 2023. "Collusion-proof mechanisms for multi-unit procurement," Games and Economic Behavior, Elsevier, vol. 138(C), pages 281-298.
    16. Conan Mukherjee, 2014. "Fair and group strategy-proof good allocation with money," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(2), pages 289-311, February.
    17. 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.
    18. 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.
    19. De, Parikshit, 2014. "Rawlsian Allocation In Queueing And Sequencing Problem," MPRA Paper 58744, University Library of Munich, Germany.
    20. 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.
    21. Banerjee, Sreoshi & De, Parikshit & Mitra, Manipushpak, 2020. "A welfarist approach to sequencing problems with incentives," MPRA Paper 107188, University Library of Munich, Germany.
    22. 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.
    23. Kayi, C. & Ramaekers, E., 2008. "An impossibility in sequencing problems," Research Memorandum 040, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    24. Chun, Youngsub & Mitra, Manipushpak & Mutuswami, Suresh, 2014. "Characterizations of pivotal mechanisms in the queueing problem," Mathematical Social Sciences, Elsevier, vol. 72(C), pages 62-66.
    25. De, Parikshit, 2013. "Incentive and normative analysis on sequencing problem," MPRA Paper 55127, University Library of Munich, Germany.

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