Skip to main content
Log in

Core-selecting package auctions

  • Original Paper
  • Published:
International Journal of Game Theory Aims and scope Submit manuscript

Abstract

Auctions that select core allocations with respect to reported values generate competitive levels of sales revenues at equilibrium and limit bidder incentives to use shills. Among core-selecting auctions, the ones that minimize seller revenues also maximize incentives for truthful reporting, produce the Vickrey outcome when that lies in the core and, in contrast to the Vickrey auction, and create no incentive for a seller to exclude qualified bidders. Core-selecting auctions are related to and share properties with stable matching mechanisms.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Abdulkadiroglu A, Pathak P, Roth A, Sonmez T (2005) The Boston Public School Match. In: AEA papers and proceedings, pp 368–371

  • Ausubel L, Milgrom P (2002) Ascending auctions with package bidding. Front Theor Econ 1(1), Article 1

    Google Scholar 

  • Ausubel L, Milgrom P (2005) The lovely but lonely vickrey auction. In: Cramton P, Shoham Y, Steinberg R (eds) Combinatorial auctions. MIT Press, Cambridge

    Google Scholar 

  • Bernheim BD, Whinston M (1986) Menu auctions, resource allocation and economic influence. Q J Econ 101:1–31

    Article  Google Scholar 

  • Bertrand J (1883) Théorie Mathématique de la Richesse Sociale. J des Savants 69:499–508

    Google Scholar 

  • Day RW, Raghavan S (2006) Fair payments for efficient allocations in public sector combinatorial auctions. Manag Sci (Forthcoming)

  • Green J, Laffont J-J (1979) Incentives in public decision making. North Holland, Amsterdam

    Google Scholar 

  • Hatfield J, Milgrom P (2005) Matching with contracts. Am Econ Rev 95(4):913–935

    Article  Google Scholar 

  • Holmstrom B (1979) Groves schemes on restricted domains. Econometrica 47:1137–1144

    Article  Google Scholar 

  • Kagel J, Roth A (2000) The dynamics of reorganization in matching markets: a laboratory experiment motivated by a natural experiment. Q J Econ:201–235

  • Kelso A, Crawford V (1982) Job matching, coalition formation, and gross substitutes. Econometrica 50:1483–1504

    Article  Google Scholar 

  • McMillan J (1994) Selling spectrum rights. J Econ Perspect 8:145–162

    Google Scholar 

  • Milgrom P (2004) Putting auction theory to work. Cambridge University Press, Cambridge

    Google Scholar 

  • Milgrom P (2006) Incentives in core-selecting auctions. Stanford University

  • Parkes D, Ungar L (2000) Iterative combinatorial auctions: theory and practice. In: Proceedings of the 17th national conference on artificial intelligence, pp 74–81

  • Reny P (1999) On the existence of pure and mixed strategy nash equilibria in discontinuous games. Econometrica 67(5):1029–1056

    Article  Google Scholar 

  • Roberts J, Postlewaite A (1976) The incentives for price-taking behavior in large exchange economies. Econometrica 44(1):115–129

    Article  Google Scholar 

  • Roth AE (1982) The economics of matching: stability and incentives. Math Oper Res 7:617–628

    Article  Google Scholar 

  • Roth AE, Peranson E (1999) The redesign of the matching market for American physicians: some engineering aspects of economic design. Am Econ Rev 89:748–780

    Article  Google Scholar 

  • Roth AE, Sotomayor M (1990) Two-sided matching: a study in game-theoretic modeling and analysis. Cambridge University Press, Cambridge

    Google Scholar 

  • Roth AE, Xing X (1994) Jumping the gun: imperfections and institutions related to the timing of market transactions. Am Econ Rev 84:992–1044

    Google Scholar 

  • Segal I (2003) The communication requirements of combinatorial auctions. In: Cramton P, Shoham Y, Steinberg R (eds) Combinatorial Auctions. Princeton University Press, Princeton

    Google Scholar 

  • Simon LK, Zame WR (1990) Discontinuous games and endogenous sharing rules. Econometrica 58: 861–872

    Article  Google Scholar 

  • Yokoo M, Sakurai Y, Matsubara S (2004) The effect of false-name bids in combinatorial auctions: new fraud in internet auctions. Games Econ Behav 46(1):174–188

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Paul Milgrom.

Additional information

This paper evolved from Milgrom (2006), which reported a portion of Milgrom’s Clarendon lectures for 2005. The authors subsequently discovered that versions of what is here Theorem 3 appeared both in that paper and one produced independently by Day and Raghavan (2006). We have collaborated on this revision; in particular, nearly all of the material on shill bidding is new.

Milgrom received financial support for this research from National Science Foundation under grant ITR-0427770. We thank Roger Myerson for suggesting the connection to Howard Raiffa’s observations about bargaining, Yeon-Koo Che for comments on an earlier draft, and Manuj Garg for proofreading.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Day, R., Milgrom, P. Core-selecting package auctions. Int J Game Theory 36, 393–407 (2008). https://doi.org/10.1007/s00182-007-0100-7

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00182-007-0100-7

Keywords

JEL Classification Numbers

Navigation