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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. Paul Klemperer & Aytek Erdil, 2009. "A New Payment Rule for Core-Selecting Package Auctions," Economics Series Working Papers 2009-W11, University of Oxford, Department of Economics.
  2. 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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  4. Peter Cramton, 2009. "Spectrum Auction Design," Papers of Peter Cramton 09sad, University of Maryland, Department of Economics - Peter Cramton, revised 2012.
  5. Robert Day & Paul Milgrom, 2008. "Core-selecting package auctions," International Journal of Game Theory, Springer, vol. 36(3), pages 393-407, March.
  6. 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.
  7. Sandro Brusco & Giuseppe Lopomo, 2004. "Collusion via Signalling in Simultaneous Ascending Bid Auctions with Heterogeneous Objects, with and without Complementarities," Levine's Bibliography 122247000000000385, UCLA Department of Economics.
  8. Lawrence M. Ausubel & Paul Milgrom, 2002. "Ascending Auctions with Package Bidding," Working Papers 02004, Stanford University, Department of Economics.
  9. 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.
  10. Bernheim, B Douglas & Whinston, Michael D, 1986. "Menu Auctions, Resource Allocation, and Economic Influence," The Quarterly Journal of Economics, MIT Press, vol. 101(1), pages 1-31, February.
  11. Jacob K. Goeree & Yuanchuan Lien, 2009. "An equilibrium analysis of the simultaneous ascending auction," IEW - Working Papers 428, Institute for Empirical Research in Economics - University of Zurich.
  12. Lawrence M. Ausubel & Peter Cramton, 1995. "Demand Reduction and Inefficiency in Multi-Unit Auctions," Papers of Peter Cramton 98wpdr, University of Maryland, Department of Economics - Peter Cramton, revised 22 Jul 2002.
  13. Paul Milgrom & Robert J. Weber, 1981. "A Theory of Auctions and Competitive Bidding," Discussion Papers 447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  14. Olivier Compte & Philippe Jehiel, 2007. "Auctions and information acquisition: sealed bid or dynamic formats?," RAND Journal of Economics, RAND Corporation, vol. 38(2), pages 355-372, 06.
  15. 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.
  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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