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A characterization of the Vickrey rule in slot allocation problems

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  • Yu Zhou
  • Youngsub Chun
  • Shigehiro Serizawa

Abstract

We study the slot allocation problem where agents have quasi‐linear single‐peaked preferences over slots and identify the rules satisfying efficiency, strategy‐proofness, and individual rationality. Since the quasi‐linear single‐peaked domain is not connected, the famous characterization of the Vickrey rule in terms of Holmström (1979)'s three properties cannot be applied. However, we are able to establish that on the quasi‐linear single‐peaked domain, the Vickrey rule is still the only rule satisfying efficiency, strategy‐proofness, and individual rationality.

Suggested Citation

  • 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.
    • Handle: RePEc:bla:ijethy:v:18:y:2022:i:1:p:38-49
    DOI: 10.1111/ijet.12306
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    1. James Schummer & Rakesh V. Vohra, 2013. "Assignment of Arrival Slots," American Economic Journal: Microeconomics, American Economic Association, vol. 5(2), pages 164-185, May.
    2. Duygu Yengin, 2012. "Egalitarian-equivalent Groves mechanisms in the allocation of heterogenous objects," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(1), pages 137-160, January.
    3. 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.
    4. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2014. "Assigning agents to a line," Games and Economic Behavior, Elsevier, vol. 87(C), pages 539-553.
    5. Itai Ashlagi & Shigehiro Serizawa, 2012. "Characterizing Vickrey allocation rule by anonymity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 531-542, March.
    6. Toyotaka Sakai, 2008. "Second price auctions on general preference domains: two characterizations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(2), pages 347-356, November.
    7. Youngsub Chun & Boram Park, 2017. "A graph theoretic approach to the slot allocation problem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(1), pages 133-152, January.
    8. 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.
    9. , & ,, 2015. "Strategy-proofness and efficiency with non-quasi-linear preferences: a characterization of minimum price Walrasian rule," Theoretical Economics, Econometric Society, vol. 10(2), May.
    10. Hiroki Saitoh & Shigehiro Serizawa, 2008. "Vickrey allocation rule with income effect," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(2), pages 391-401, May.
    11. 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.
    12. Soo Chew & Shigehiro Serizawa, 2007. "Characterizing the Vickrey combinatorial auction by induction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(2), pages 393-406, November.
    13. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    14. 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.
    15. Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-479, June.
    16. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    17. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
    18. Yu Zhou & Shigehiro Serizawa, 2016. "Strategy-Proofness and Efficiency for Non-quasi-linear Common-Tiered-Object Preferences: Characterization of Minimum Price Rule," ISER Discussion Paper 0971, Institute of Social and Economic Research, Osaka University.
    19. Yu Zhou & Shigehiro Serizawa, 2020. "Serial Vickrey Mechanism," ISER Discussion Paper 1095, Institute of Social and Economic Research, Osaka University.
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