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Core-selecting package auctions: a comment on revenue-monotonicity

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  • Laurent Lamy

    (PSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

Day and Milgrom (Int J Game Theory 36:393-407, 2008) argue that package auctions that select the seller's minimum revenue in the Core are revenue-monotone. We show that no bidder-optimal Core-selecting auction can satisfy revenue-monotonicity for general preferences when there are at least three goods for sale, while the property holds for any bidder-optimal Core-selecting auction in environments with only two goods or if the characteristic function is submodular.

Suggested Citation

  • Laurent Lamy, 2010. "Core-selecting package auctions: a comment on revenue-monotonicity," PSE-Ecole d'économie de Paris (Postprint) halshs-00754436, HAL.
    • Handle: RePEc:hal:pseptp:halshs-00754436
    DOI: 10.1007/s00182-009-0188-z
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    References listed on IDEAS

    as
    1. B. Douglas Bernheim & Michael D. Whinston, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(1), pages 1-31.
    2. Ausubel Lawrence M & Milgrom Paul R, 2002. "Ascending Auctions with Package Bidding," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 1(1), pages 1-44, August.
    3. Robert Day & Paul Milgrom, 2008. "Core-selecting package auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 393-407, March.
    4. Lawrence M. Ausubel & Peter Cramton & Paul Milgrom, 2004. "The Clock-Proxy Auction: A Practical Combinatorial Auction Design," Papers of Peter Cramton 04mit5, University of Maryland, Department of Economics - Peter Cramton, revised 2004.
    5. Bikhchandani, Sushil & Ostroy, Joseph M., 2002. "The Package Assignment Model," Journal of Economic Theory, Elsevier, vol. 107(2), pages 377-406, December.
    6. Robert W. Day & S. Raghavan, 2007. "Fair Payments for Efficient Allocations in Public Sector Combinatorial Auctions," Management Science, INFORMS, vol. 53(9), pages 1389-1406, September.
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    Citations

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    Cited by:

    1. Vohra, Rakesh V., 2015. "Combinatorial Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    2. Robert W. Day & Peter Cramton, 2012. "Quadratic Core-Selecting Payment Rules for Combinatorial Auctions," Operations Research, INFORMS, vol. 60(3), pages 588-603, June.
    3. Isa Hafalir & Hadi Yektaş, 2015. "Core deviation minimizing auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 367-376, May.
    4. Muto, Nozomu & Yasuhiro, Shirata, 2013. "Goods Revenue Monotonicity in Combinatorial Auctions," Discussion Papers 2013-13, Graduate School of Economics, Hitotsubashi University.
    5. Laurent Lamy, 2009. "Ascending auctions: some impossibility results and their resolutions with final price discounts," PSE Working Papers halshs-00575076, HAL.
    6. Sano, Ryuji, 2013. "Vickrey-reserve auctions and an equilibrium equivalence," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 112-117.
    7. Ott, Marion & Beck, Marissa, 2013. "Incentives for Overbidding in Minimum-Revenue Core-Selecting Auctions," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79946, Verein für Socialpolitik / German Economic Association.
    8. Laurent Lamy, 2009. "Ascending auctions: some impossibility results and their resolutions with final price discounts," Working Papers halshs-00575076, HAL.
    9. Muto, Nozomu & Shirata, Yasuhiro, 2017. "Manipulation via endowments in auctions with multiple goods," Mathematical Social Sciences, Elsevier, vol. 87(C), pages 75-84.
    10. Firanchuk, Alexander (Фиранчук, Александр), 2017. "Illegal Re-Export and Analysis of the Effectiveness of the Russian Food Embargo in 2014 [Незаконный Реэкспорт И Анализ Эффективности Российского Продовольственного Эмбарго 2014 Года]," Working Papers 041705, Russian Presidential Academy of National Economy and Public Administration.

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    More about this item

    Keywords

    Core; Auctions; Core-selection auctions; Package bidding; Combinatorial bidding;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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