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Credible, Strategyproof, Optimal, and Bounded Expected-Round Single-Item Auctions for all Distributions

Author

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  • Meryem Essaidi
  • Matheus V. X. Ferreira
  • S. Matthew Weinberg

Abstract

We consider a revenue-maximizing seller with a single item for sale to multiple buyers with i.i.d. valuations. Akbarpour and Li (2020) show that the only optimal, credible, strategyproof auction is the ascending price auction with reserves which has unbounded communication complexity. Recent work of Ferreira and Weinberg (2020) circumvents their impossibility result assuming the existence of cryptographically secure commitment schemes, and designs a two-round credible, strategyproof, optimal auction. However, their auction is only credible when buyers' valuations are MHR or $\alpha$-strongly regular: they show their auction might not be credible even when there is a single buyer drawn from a non-MHR distribution. In this work, under the same cryptographic assumptions, we identify a new single-item auction that is credible, strategyproof, revenue optimal, and terminates in constant rounds in expectation for all distributions with finite monopoly price.

Suggested Citation

  • Meryem Essaidi & Matheus V. X. Ferreira & S. Matthew Weinberg, 2022. "Credible, Strategyproof, Optimal, and Bounded Expected-Round Single-Item Auctions for all Distributions," Papers 2205.14758, arXiv.org.
    • Handle: RePEc:arx:papers:2205.14758
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    File URL: http://arxiv.org/pdf/2205.14758
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    References listed on IDEAS

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    1. Tim Roughgarden, 2021. "Transaction Fee Mechanism Design," Papers 2106.01340, arXiv.org, revised Dec 2023.
    2. Matheus V. X. Ferreira & Daniel J. Moroz & David C. Parkes & Mitchell Stern, 2021. "Dynamic Posted-Price Mechanisms for the Blockchain Transaction Fee Market," Papers 2103.14144, arXiv.org, revised Nov 2021.
    3. Qingmin Liu & Konrad Mierendorff & Xianwen Shi & Weijie Zhong, 2019. "Auctions with Limited Commitment," American Economic Review, American Economic Association, vol. 109(3), pages 876-910, March.
    4. Mohammad Akbarpour & Shengwu Li, 2020. "Credible Auctions: A Trilemma," Econometrica, Econometric Society, vol. 88(2), pages 425-467, March.
    5. Shengwu Li, 2017. "Obviously Strategy-Proof Mechanisms," American Economic Review, American Economic Association, vol. 107(11), pages 3257-3287, November.
    6. Matheus V. X. Ferreira & S. Matthew Weinberg, 2020. "Credible, Truthful, and Two-Round (Optimal) Auctions via Cryptographic Commitments," Papers 2004.01598, arXiv.org, revised May 2020.
    7. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    8. Matheus V. X. Ferreira & S. Matthew Weinberg, 2021. "Proof-of-Stake Mining Games with Perfect Randomness," Papers 2107.04069, arXiv.org, revised Dec 2021.
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    Cited by:

    1. Andrew Komo & Scott Duke Kominers & Tim Roughgarden, 2024. "Shill-Proof Auctions," Papers 2404.00475, arXiv.org, revised Nov 2024.
    2. Matheus V. X. Ferreira & David C. Parkes, 2022. "Credible Decentralized Exchange Design via Verifiable Sequencing Rules," Papers 2209.15569, arXiv.org, revised Apr 2023.
    3. Maryam Bahrani & Pranav Garimidi & Tim Roughgarden, 2023. "Transaction Fee Mechanism Design with Active Block Producers," Papers 2307.01686, arXiv.org, revised Oct 2023.

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