IDEAS home Printed from https://ideas.repec.org/p/osk/wpaper/0817.html
   My bibliography  Save this paper

Strategy-Proof and Anonymous Rule in Queueing Problems: A Relationship between Equity and Efficiency

Author

Listed:
  • Kazuhiko Hashimoto

    (Graduate School of Economics, Osaka University)

  • Hiroki Saitoh

    (Institute of Social and Economic Research, Osaka University)

Abstract

In this paper, we consider a relationship between equity and efficiency in queueing problems. We show that under strategy-proofness, anonymity in welfare implies queue-efficiency. Furthermore, we also give a characterization of the equally distributed pairwise pivotal rule, as the only rule that satisfies strategy-proofness, anonymity in welfare and budget-balance.

Suggested Citation

  • 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.
  • Handle: RePEc:osk:wpaper:0817
    as

    Download full text from publisher

    File URL: http://www2.econ.osaka-u.ac.jp/library/global/dp/0817.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Youngsub Chun, 2006. "No-envy in queueing problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 151-162, September.
    2. Mitra, Manipushpak, 2005. "Incomplete information and multiple machine queueing problems," European Journal of Operational Research, Elsevier, vol. 165(1), pages 251-266, August.
    3. Maniquet, Francois, 2003. "A characterization of the Shapley value in queueing problems," Journal of Economic Theory, Elsevier, vol. 109(1), pages 90-103, March.
    4. Hain, Roland & Mitra, Manipushpak, 2004. "Simple sequencing problems with interdependent costs," Games and Economic Behavior, Elsevier, vol. 48(2), pages 271-291, August.
    5. Youngsub Chun, 2016. "Queueing Problems with Two Parallel Servers," Studies in Choice and Welfare, in: Fair Queueing, chapter 0, pages 141-157, Springer.
    6. Sprumont, Yves, 1991. "The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule," Econometrica, Econometric Society, vol. 59(2), pages 509-519, March.
    7. Debasis Mishra & Bharath Rangarajan, 2007. "Cost sharing in a job scheduling problem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(3), pages 369-382, October.
    8. Manipushpak Mitra, 2001. "Mechanism design in queueing problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 17(2), pages 277-305.
    9. Manipushpak Mitra, 2002. "Achieving the first best in sequencing problems," Review of Economic Design, Springer;Society for Economic Design, vol. 7(1), pages 75-91.
    10. Chun, Youngsub, 2006. "A pessimistic approach to the queueing problem," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 171-181, March.
    11. Jeroen Suijs, 1996. "On incentive compatibility and budget balancedness in public decision making," Review of Economic Design, Springer;Society for Economic Design, vol. 2(1), pages 193-209, December.
    12. Mitra, Manipushpak & Mutuswami, Suresh, 2011. "Group strategyproofness in queueing models," Games and Economic Behavior, Elsevier, vol. 72(1), pages 242-254, May.
    13. Youngsub Chun, 2011. "Consistency and monotonicity in sequencing problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 29-41, February.
    14. Moulin, H., 1986. "Characterizations of the pivotal mechanism," Journal of Public Economics, Elsevier, vol. 31(1), pages 53-78, October.
    15. Ando, Kazutoshi & Kato, Miki & Ohseto, Shinji, 2008. "Strategy-proof and symmetric allocation of an indivisible good," Mathematical Social Sciences, Elsevier, vol. 55(1), pages 14-23, January.
    16. Robert J. Dolan, 1978. "Incentive Mechanisms for Priority Queuing Problems," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 421-436, Autumn.
    17. Shigehiro Serizawa, 2006. "Strategy-Proof and Anonymous Allocation Rules of Indivisible Goods: A New Characterization of Vickrey Allocation Rule," ISER Discussion Paper 0648, Institute of Social and Economic Research, Osaka University.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.
    4. René Brink & Youngsub Chun, 2012. "Balanced consistency and balanced cost reduction for sequencing problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 519-529, March.
    5. Ju, Yuan & Chun, Youngsub & van den Brink, René, 2014. "Auctioning and selling positions: A non-cooperative approach to queueing conflicts," Journal of Economic Theory, Elsevier, vol. 153(C), pages 33-45.
    6. 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.
    7. Banerjee, Sreoshi & De, Parikshit & Mitra, Manipushpak, 2020. "A welfarist approach to sequencing problems with incentives," MPRA Paper 107188, University Library of Munich, Germany.
    8. Chun, Youngsub & Mitra, Manipushpak, 2014. "Subgroup additivity in the queueing problem," European Journal of Operational Research, Elsevier, vol. 238(1), pages 281-289.
    9. Atay, Ata & Trudeau, Christian, 2024. "Queueing games with an endogenous number of machines," Games and Economic Behavior, Elsevier, vol. 144(C), pages 104-125.
    10. Banerjee, Sreoshi, 2024. "On identifying efficient, fair and stable allocations in "generalized" sequencing games," MPRA Paper 120188, University Library of Munich, Germany.
    11. 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.
    12. Banerjee, Sreoshi, 2023. "Stability and fairness in sequencing games: optimistic approach and pessimistic scenarios," MPRA Paper 118680, University Library of Munich, Germany.
    13. Moulin, Herve, 2005. "Split-Proof Probabilistic Scheduling," Working Papers 2004-06, Rice University, Department of Economics.
    14. Alex Gershkov & Paul Schweinzer, 2010. "When queueing is better than push and shove," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(3), pages 409-430, July.
    15. Moulin, Herve, 2004. "On Scheduling Fees to Prevent Merging, Splitting and Transferring of Jobs," Working Papers 2004-04, Rice University, Department of Economics.
    16. 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.
    17. 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.
    18. KayI, Çagatay & Ramaekers, Eve, 2010. "Characterizations of Pareto-efficient, fair, and strategy-proof allocation rules in queueing problems," Games and Economic Behavior, Elsevier, vol. 68(1), pages 220-232, January.
    19. Hervé Moulin, 2007. "On Scheduling Fees to Prevent Merging, Splitting, and Transferring of Jobs," Mathematics of Operations Research, INFORMS, vol. 32(2), pages 266-283, May.
    20. De, Parikshit, 2013. "Incentive and normative analysis on sequencing problem," MPRA Paper 55127, University Library of Munich, Germany.

    More about this item

    Keywords

    Queueing Problems; Strategy-Proofness; Anonymity in welfare; Efficiency;
    All these keywords.

    JEL classification:

    • 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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:osk:wpaper:0817. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: The Economic Society of Osaka University (email available below). General contact details of provider: https://edirc.repec.org/data/feosujp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.