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Egalitarian equivalence and strategyproofness in the queueing problem

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  • Youngsub Chun
  • Manipushpak Mitra
  • Suresh Mutuswami

Abstract

We investigate the implications of egalitarian equivalence (Pazner and Schmeidler in Q J Econ 92:671–687, 1978 ) together with queue efficiency and strategyproofness in the context of queueing problems. We completely characterize the class of mechanisms satisfying the three requirements. Though there is no mechanism in this class satisfying budget balance, feasible mechanisms exist and we characterize the set of all such mechanisms. We also show that it is impossible to find a mechanism satisfying queue efficiency, egalitarian equivalence, and a stronger notion of strategyproofness called weak group strategyproofness. In addition, we show that generically there is no mechanism satisfying both egalitarian equivalence and no-envy. Copyright Springer-Verlag Berlin Heidelberg 2014

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  • 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.
    • Handle: RePEc:spr:joecth:v:56:y:2014:i:2:p:425-442
    DOI: 10.1007/s00199-013-0793-8
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    Cited by:

    1. 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.
    2. Erwin Ooghe, 2019. "Markets, Queues, and Taxes," CESifo Working Paper Series 7910, CESifo.
    3. 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.
    4. Banerjee, Sreoshi, 2023. "Stability and fairness in sequencing games: optimistic approach and pessimistic scenarios," MPRA Paper 118680, University Library of Munich, Germany.
    5. Susumu Cato, 2020. "Compatibility of egalitarian equivalence and envy-freeness in a continuum-agent economy," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 97-103, April.
    6. Hagen, Martin, 2023. "Collusion-proof mechanisms for multi-unit procurement," Games and Economic Behavior, Elsevier, vol. 138(C), pages 281-298.
    7. Yu Zhou & Youngsub Chun & Shigehiro Serizawa, 2022. "A characterization of the Vickrey rule in slot allocation problems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(1), pages 38-49, March.
    8. 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.
    9. 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.
    10. 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.
    11. Chun, Youngsub & Mitra, Manipushpak, 2014. "Subgroup additivity in the queueing problem," European Journal of Operational Research, Elsevier, vol. 238(1), pages 281-289.
    12. 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.
    13. 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.
    14. Chun, Youngsub & Mitra, Manipushpak & Mutuswami, Suresh, 2019. "Egalitarianism in the queueing problem," Journal of Mathematical Economics, Elsevier, vol. 81(C), pages 48-56.
    15. Bloch, Francis, 2017. "Second-best mechanisms in queuing problems without transfers:The role of random priorities," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 73-79.
    16. Banerjee, Sreoshi & De, Parikshit & Mitra, Manipushpak, 2020. "A welfarist approach to sequencing problems with incentives," MPRA Paper 107188, University Library of Munich, Germany.
    17. Hiroki Shinozaki, 2022. "Egalitarian-Equivalence and Strategy-Proofness in the Object Allocation Problem with Non-Quasi-Linear Preferences," Games, MDPI, vol. 13(6), pages 1-24, November.
    18. Banerjee, Sreoshi, 2024. "On identifying efficient, fair and stable allocations in "generalized" sequencing games," MPRA Paper 120188, University Library of Munich, Germany.
    19. 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.
    20. 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; Strategyproofness; Egalitarian equivalence; No-envy; C72; D63; D71; D82;
    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
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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