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Limited and online supply and the bayesian foundations of prior-free mechanism design

Published: 06 July 2009 Publication History

Abstract

We study auctions for selling a limited supply of a single commodity in the case where the supply is known in advance and the case it is unknown and must be instead allocated in an online fashion. The latter variant was proposed by Mahdian and Saberi [12] as a model of an important phenomena in auctions for selling Internet advertising: advertising impressions must be allocated as they arrive and the total quantity available is unknown in advance. We describe the Bayesian optimal mechanism for these variants and extend the random sampling auction of Goldberg et al. [8] to address the prior-free case.

References

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S. Alaei, A. Malekian, and A. Srinivasan. On random sampling auctions for digital goods. In Proc. 11th ACM Conf. on Electronic Commerce, 2009.
[2]
M. Babaioff, L. Blumrosen, and A. Roth. Auctions with online supply. Working paper.
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S. Baliga and R. Vohra. Market research and market design. Advances in Theoretical Economics, 3, 2003.
[4]
S. Chakraborty and N. Devanur. An Online Multi-unit Auction with Improved Competitive Ratio. ArXiv e-prints, January 2009.
[5]
U. Feige, A. Flaxman, J. Hartline, and R. Kleinberg. On the Competitive Ratio of the Random Sampling Auction. In Proc. 1st Workshop on Internet and Network Economics, pages 878--886, 2005.
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A. Fiat, A. Goldberg, J. Hartline, and A. Karlin. Generalized competitive auctions. In Proc. 34th ACM Symp. on Theory of Computing, pages 72--81. ACM Press, 2002.
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A.V. Goldberg, J.D. Hartline, A. Karlin, M. Saks, and A. Wright. Competitive auctions. Games and Economic Behavior, 55:242--269, 2006.
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A.V. Goldberg, J.D. Hartline, and A. Wright. Competitive auctions and digital goods. In Proc. 12th ACM Symp. on Discrete Algorithms, pages 735--744. ACM/SIAM, 2001.
[9]
J. Hartline and A. Karlin. Profit maximization in mechanism design. In N. Nisan, T. Roughgarden, É. Tardos, and V. Vazirani, editors, Algorithmic Game Theory, chapter 13, pages 331--362. Cambridge University Press, 2007.
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J. Hartline and R. McGrew. From optimal limited to unlimited supply auctions. In Proceedings of the 7th ACM Conference on Electronic Commerce, pages 175--182, 2005.
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J. Hartline and T. Roughgarden. Optimal mechanism design and money burning. In Proc. 39th ACM Symp. on Theory of Computing, 2008.
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M. Mahdian and A. Saberi. Multi-unit auctions with unknown supply. In Proc. 8th ACM Conf. on Electronic Commerce, 2006.
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R. Myerson. Optimal auction design. Mathematics of Operations Research, 6:58--73, 1981.

Cited By

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  • (2022)Truthful Deep Mechanism Design for Revenue-Maximization in Edge Computing With Budget ConstraintsIEEE Transactions on Vehicular Technology10.1109/TVT.2021.312909871:1(902-914)Online publication date: Jan-2022
  • (2020)Non‐Clairvoyant Dynamic Mechanism DesignEconometrica10.3982/ECTA1553088:5(1939-1963)Online publication date: 2020
  • (2020)Prior-free multi-unit auctions with ordered biddersTheoretical Computer Science10.1016/j.tcs.2020.09.030Online publication date: Sep-2020
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    cover image ACM Conferences
    EC '09: Proceedings of the 10th ACM conference on Electronic commerce
    July 2009
    376 pages
    ISBN:9781605584584
    DOI:10.1145/1566374
    • General Chair:
    • John Chuang,
    • Program Chairs:
    • Lance Fortnow,
    • Pearl Pu
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Publication History

    Published: 06 July 2009

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    Author Tags

    1. auction
    2. limited supply
    3. mechanism design
    4. online
    5. prior-free

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    EC '09
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    EC '09: ACM Conference on Electronic Commerce
    July 6 - 10, 2009
    California, Stanford, USA

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    Overall Acceptance Rate 664 of 2,389 submissions, 28%

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    Cited By

    View all
    • (2022)Truthful Deep Mechanism Design for Revenue-Maximization in Edge Computing With Budget ConstraintsIEEE Transactions on Vehicular Technology10.1109/TVT.2021.312909871:1(902-914)Online publication date: Jan-2022
    • (2020)Non‐Clairvoyant Dynamic Mechanism DesignEconometrica10.3982/ECTA1553088:5(1939-1963)Online publication date: 2020
    • (2020)Prior-free multi-unit auctions with ordered biddersTheoretical Computer Science10.1016/j.tcs.2020.09.030Online publication date: Sep-2020
    • (2019)Multi-unit supply-monotone auctions with bayesian valuationsProceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms10.5555/3310435.3310447(173-192)Online publication date: 6-Jan-2019
    • (2019)Mechanism Design with Unstructured BeliefsProceedings of the 18th International Conference on Autonomous Agents and MultiAgent Systems10.5555/3306127.3332136(2429-2431)Online publication date: 8-May-2019
    • (2018)Truthful multi-parameter auctions with online supplyProceedings of the Twenty-Ninth Annual ACM-SIAM Symposium on Discrete Algorithms10.5555/3174304.3175319(753-769)Online publication date: 7-Jan-2018
    • (2018)Dynamic Pricing in Spatial CrowdsourcingProceedings of the 2018 International Conference on Management of Data10.1145/3183713.3196929(773-788)Online publication date: 27-May-2018
    • (2018)Information Elicitation for Bayesian AuctionsAlgorithmic Game Theory10.1007/978-3-319-99660-8_5(43-55)Online publication date: 27-Aug-2018
    • (2015)Competitive Analysis via Benchmark DecompositionProceedings of the Sixteenth ACM Conference on Economics and Computation10.1145/2764468.2764491(363-376)Online publication date: 15-Jun-2015
    • (2015)Smooth Online MechanismsProceedings of the Sixteenth ACM Conference on Economics and Computation10.1145/2764468.2764487(203-220)Online publication date: 15-Jun-2015
    • Show More Cited By

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