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

Author

Listed:
  • 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 nationale des ponts et chaussées - 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 nationale des ponts et chaussées - 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," Post-Print halshs-00754436, HAL.
    • Handle: RePEc:hal:journl:halshs-00754436
    DOI: 10.1007/s00182-009-0188-z
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    Cited by:

    1. Vohra, Rakesh V., 2015. "Combinatorial Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    2. Muto, Nozomu & Yasuhiro, Shirata, 2013. "Goods Revenue Monotonicity in Combinatorial Auctions," Discussion Papers 2013-13, Graduate School of Economics, Hitotsubashi University.
    3. Laurent Lamy, 2009. "Ascending auctions: some impossibility results and their resolutions with final price discounts," PSE Working Papers halshs-00575076, HAL.
    4. Laurent Lamy, 2009. "Ascending auctions: some impossibility results and their resolutions with final price discounts," Working Papers halshs-00575076, HAL.
    5. Muto, Nozomu & Shirata, Yasuhiro, 2017. "Manipulation via endowments in auctions with multiple goods," Mathematical Social Sciences, Elsevier, vol. 87(C), pages 75-84.
    6. Robert W. Day & Peter Cramton, 2012. "Quadratic Core-Selecting Payment Rules for Combinatorial Auctions," Operations Research, INFORMS, vol. 60(3), pages 588-603, June.
    7. Sano, Ryuji, 2013. "Vickrey-reserve auctions and an equilibrium equivalence," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 112-117.
    8. 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.
    9. 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.
    10. 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.

    More about this item

    Keywords

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    JEL classification:

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

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