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Strategy-Proof and Non-Wasteful Multi-Unit Auction via Social Network

Author

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  • Takehiro Kawasaki
  • Nathanael Barrot
  • Seiji Takanashi
  • Taiki Todo
  • Makoto Yokoo

Abstract

Auctions via social network, pioneered by Li et al. (2017), have been attracting considerable attention in the literature of mechanism design for auctions. However, no known mechanism has satisfied strategy-proofness, non-deficit, non-wastefulness, and individual rationality for the multi-unit unit-demand auction, except for some naive ones. In this paper, we first propose a mechanism that satisfies all the above properties. We then make a comprehensive comparison with two naive mechanisms, showing that the proposed mechanism dominates them in social surplus, seller's revenue, and incentive of buyers for truth-telling. We also analyze the characteristics of the social surplus and the revenue achieved by the proposed mechanism, including the constant approximability of the worst-case efficiency loss and the complexity of optimizing revenue from the seller's perspective.

Suggested Citation

  • Takehiro Kawasaki & Nathanael Barrot & Seiji Takanashi & Taiki Todo & Makoto Yokoo, 2019. "Strategy-Proof and Non-Wasteful Multi-Unit Auction via Social Network," Papers 1911.08809, arXiv.org.
    • Handle: RePEc:arx:papers:1911.08809
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    References listed on IDEAS

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    1. Birgit Heydenreich & Rudolf Müller & Marc Uetz & Rakesh V. Vohra, 2009. "Characterization of Revenue Equivalence," Econometrica, Econometric Society, vol. 77(1), pages 307-316, January.
    2. Jerry R. Green & Jean-Jacques Laffont, 1986. "Partially Verifiable Information and Mechanism Design," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(3), pages 447-456.
    3. Muto, Nozomu & Shirata, Yasuhiro, 2017. "Manipulation via endowments in auctions with multiple goods," Mathematical Social Sciences, Elsevier, vol. 87(C), pages 75-84.
    4. Seiji Takanashi & Takehiro Kawasaki & Taiki Todo & Makoto Yokoo, 2019. "Efficiency in Truthful Auctions via a Social Network," Papers 1904.12422, arXiv.org.
    5. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    6. Shengwu Li, 2017. "Obviously Strategy-Proof Mechanisms," American Economic Review, American Economic Association, vol. 107(11), pages 3257-3287, November.
    7. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    8. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    9. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
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    Cited by:

    1. Jeong, Seungwon (Eugene) & Lee, Joosung, 2024. "The groupwise-pivotal referral auction: Core-selecting referral strategy-proof mechanism," Games and Economic Behavior, Elsevier, vol. 143(C), pages 191-203.
    2. Bin Li & Dong Hao & Dengji Zhao, 2020. "Incentive-Compatible Diffusion Auctions," Papers 2001.06975, arXiv.org, revised Apr 2020.

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