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Non-bidding equilibrium in an ascending core-selecting auction

  • Sano, Ryuji

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.

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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 74 (2012)
Issue (Month): 2 ()
Pages: 637-650

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Handle: RePEc:eee:gamebe:v:74:y:2012:i:2:p:637-650
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  1. Christoph Brunner & Jacob K. Goeree & Charles A. Holt & John O. Ledyard, 2010. "An Experimental Test of Flexible Combinatorial Spectrum Auction Formats," American Economic Journal: Microeconomics, American Economic Association, vol. 2(1), pages 39-57, February.
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  9. Erdil, Aytek & Klemperer, Paul, 2009. "A New Payment Rule for Core-Selecting Package Auctions," CEPR Discussion Papers 7487, C.E.P.R. Discussion Papers.
  10. Richard Engelbrecht-Wiggans & Charles M. Kahn, 2005. "Low-Revenue Equilibria in Simultaneous Ascending-Bid Auctions," Management Science, INFORMS, vol. 51(3), pages 508-518, March.
  11. Lawrence M. Ausubel & Peter Cramton & Marek Pycia & Marzena Rostek & Marek Weretka, 2014. "Demand Reduction and Inefficiency in Multi-Unit Auctions," Review of Economic Studies, Oxford University Press, vol. 81(4), pages 1366-1400.
  12. Richard Engelbrecht-Wiggans & Charles M. Kahn, 1998. "Multi-unit auctions with uniform prices," Economic Theory, Springer, vol. 12(2), pages 227-258.
  13. Jacob K. Goeree & Yuanchuan Lien, 2009. "On the impossibility of core-selecting auctions," IEW - Working Papers 452, Institute for Empirical Research in Economics - University of Zurich.
  14. John H. Kagel & Yuanchuan Lien & Paul Milgrom, 2010. "Ascending Prices and Package Bidding: A Theoretical and Experimental Analysis," American Economic Journal: Microeconomics, American Economic Association, vol. 2(3), pages 160-85, August.
  15. Peter Cramton, 2013. "Spectrum Auction Design," Review of Industrial Organization, Springer, vol. 42(2), pages 161-190, March.
  16. Robert Day & Peter Cramton, 2008. "Quadratic Core-Selecting Payment Rules for Combinatorial Auctions," Papers of Peter Cramton 08qcspr, University of Maryland, Department of Economics - Peter Cramton, revised 2012.
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