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Non-bidding equilibrium in an ascending core-selecting auction

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  • Sano, Ryuji

Abstract

This paper investigates the perfect Bayesian equilibrium in an ascending-price core-selecting auction, which is recently used in some countriesʼ spectrum license auctions. We suppose that there are two identical items, two small bidders, and one large bidder. The small bidders demand only one unit of the item, whereas the large bidder wants both units. Package bidding ensures that the large bidder faces no exposure problem and behaves truthfully. However, one of the small bidders stops bidding at the beginning in the equilibrium. Although small bidders generally face the free-rider problem and have incentives to underbid, once a bidder is the only small one remaining, he bids truthfully. Stopping early induces the remaining bidder to behave truthfully. Hence, each small bidder wants to be the first to stop bidding. The free-rider problem is considerably mitigated when there are many small bidders.

Suggested Citation

  • Sano, Ryuji, 2012. "Non-bidding equilibrium in an ascending core-selecting auction," Games and Economic Behavior, Elsevier, vol. 74(2), pages 637-650.
  • Handle: RePEc:eee:gamebe:v:74:y:2012:i:2:p:637-650
    DOI: 10.1016/j.geb.2011.08.016
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    References listed on IDEAS

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    Cited by:

    1. Christian Kroemer & Martin Bichler & Andor Goetzendorff, 2016. "(Un)expected Bidder Behavior in Spectrum Auctions: About Inconsistent Bidding and Its Impact on Efficiency in the Combinatorial Clock Auction," Group Decision and Negotiation, Springer, vol. 25(1), pages 31-63, January.
    2. Ryuji Sano, 2015. "Improving Efficiency Using Reserve Prices: An Equilibrium Analysis of Core-Selecting Auctions," KIER Working Papers 926, Kyoto University, Institute of Economic Research.
    3. Hikmet Gunay & Xin Meng, 2012. "Exposure Problem in Multi-unit Auctions," ISER Discussion Paper 0848, Institute of Social and Economic Research, Osaka University.
    4. Kemal Guler & Martin Bichler & Ioannis Petrakis, 2016. "Ascending Combinatorial Auctions with Risk Averse Bidders," Group Decision and Negotiation, Springer, vol. 25(3), pages 609-639, May.
    5. Martin Bichler & Pasha Shabalin & Jürgen Wolf, 2013. "Do core-selecting Combinatorial Clock Auctions always lead to high efficiency? An experimental analysis of spectrum auction designs," Experimental Economics, Springer;Economic Science Association, vol. 16(4), pages 511-545, December.

    More about this item

    Keywords

    Auctions; Core-selecting auction; Ascending auction; Package clock auction; Free-rider problem;

    JEL classification:

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

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