Skip to main content
Log in

Self-enforced collusion through comparative cheap talk in simultaneous auctions with entry

  • Research Article
  • Published:
Economic Theory Aims and scope Submit manuscript

Abstract

Campbell (J Econ Theory 82:425–450, 1998) develops a self-enforced collusion mechanism in simultaneous auctions based on complete comparative cheap talk and endogenous entry, with two bidders. His result is difficult to generalize to an arbitrary number of bidders, since the entry-decision stage of the game is characterized by strategic substitutes. This paper analyzes more-than-two-bidder, symmetric-prior cases. Two results are proved: (1) as the number of objects grows large, a full comparative cheap talk equilibrium exists and it yields asymptotically fully efficient collusion; and (2) there is always a partial comparative cheap talk equilibrium. All these results are supported by intuitive equilibria at the entry-decision stage (J Econ Theory 130:205–219, 2006; Math Soc Sci 2008, forthcoming). Numerical examples suggest that full comparative cheap talk equilibria are not uncommon even with few objects.

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

  • Albano, G.L., Romano, F., Lovo, S.: On some collusive and signaling equilibria in ascending auctions for multiple objects, The Fondazione Eni Enrico Mattei Note di Lavoro Series 62.2001 (2001)

  • Aoyagi M.: Bid rotation and collusion in repeated auctions. J Econ Theory 112, 79–105 (2003)

    Article  Google Scholar 

  • Armstrong M.: Optimal multi-object auctions. Rev Econ Stud 67, 455–481 (2000)

    Article  Google Scholar 

  • Blume, A., Heidhues, P.: Private monitoring in auctions. In: 13th WZB Conference on Markets and Political Economy: Collusion and Cartels (2004)

  • Brusco S., Lopomo G.: Collusion via signaling in simultaneous ascending bid auctions with heterogeneous objects, with and without complementarities. Rev Econ Stud 69, 407–436 (2002)

    Article  Google Scholar 

  • Campbell C.M.: Coordination in auctions with entry. J Econ Theory 82, 425–450 (1998)

    Article  Google Scholar 

  • Celik G., Yilankaya O.: Optimal Auctions with Participation Costs, mimeo. University of British Columbia, Vancouver, BC (2005)

    Google Scholar 

  • Chakraborty A., Harbaugh R.: Comparative cheap talk. J Econ Theory 132, 70–94 (2007)

    Article  Google Scholar 

  • Engelbrecht-Wiggans R., Kahn C.: Low revenue equilibria in simultaneous ascending price auctions. Manage Sci 51, 508–518 (2005)

    Article  Google Scholar 

  • Grimm V., Riedel F., Wolfstetter E.: Low price equilibrium in multi-unit auctions: the GSM spectrum auction in Germany. Int J Ind Organ 21, 1557–1569 (2003)

    Article  Google Scholar 

  • Levin D., Smith J.L.: Equilibrium in auctions with entry. Am Econ Rev 84, 585–599 (1994)

    Google Scholar 

  • Lu, J.: Auction design with opportunity cost. Econ Theory, forthcoming (2008a)

  • Lu, J.: Why a simple second-price auction induces efficient endogenous entry. Theory Decis, forthcoming (2008b)

  • McAfee R.P., McMillan J.: Bidding rings. Am Econ Rev 82, 579–599 (1992)

    Google Scholar 

  • Menezes F.M., Monteiro P.K.: Auctions with endogenous participation. Rev Econ Des 5, 71–89 (2000)

    Google Scholar 

  • Miralles A.: Easy Collusion Mechanisms in Auctions with Entry, Mimeo. Boston University, Boston, MA (2005)

    Google Scholar 

  • Miralles, A.: Intuitive and noncompetitive equilibria in weakly efficient auctions with entry costs, Math Soc Sci, forthcoming (2008)

  • Pesendorfer M.: A study of collusion in first-price auctions. Rev Econ Stud 67, 381–411 (2000)

    Article  Google Scholar 

  • Skrzypacz A., Hopenhayn H.: Tacit collusion in repeated auctions. J Econ Theory 114, 153–169 (2004)

    Article  Google Scholar 

  • Stegeman M.: Participation costs and efficient auctions. J Econ Theory 71, 228–259 (1996)

    Article  Google Scholar 

  • Tan G., Yilankaya O.: Equilibria in second price auctions with participation costs. J Econ Theory 130, 205–219 (2006)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Antonio Miralles.

Additional information

Antonio Miralles is grateful to Hsueh-Lyhn Huynh, Bart Lipman, Zvika Neeman, Gregory Pavlov and an anonymous referee for their comments and suggestions. During the research, he received financial support from the Spanish Ministry of Education (SEJ2006-04985), the Fulbright Commission and Boston University.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Miralles, A. Self-enforced collusion through comparative cheap talk in simultaneous auctions with entry. Econ Theory 42, 523–538 (2010). https://doi.org/10.1007/s00199-008-0403-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00199-008-0403-3

Keywords

JEL Classification

Navigation