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Synergies and price trends in sequential auctions

  • Flavio Menezes

    ()

  • Paulo Monteiro

    ()

In this paper we consider sequential second-price auctions where an individual's value for a bundle of objects is either greater than the sum of the values for the objects separately (positive synergy) or less than the sum (negative synergy). We show that the existence of positive synergies implies declining expected prices. When synergies are negative, expected prices are increasing. There are several corollaries. First, the seller is indifferent between selling the objects simultaneously as a bundle or sequentially when synergies are positive. Second, when synergies are negative, the expected revenue generated by the simultaneous auction can be larger or smaller than the expected revenue generated by the sequential auction. In addition, in the presence of positive synergies, an option to buy the additional object at the price of the first object is never exercised in the symmetric equilibrium and the seller's revenue is unchanged. Under negative synergies, in contrast, if there is an equilibrium where the option is never exercised, then equilibrium prices may either increase or decrease and, therefore, the net effect on the seller's revenue of the introduction of an option is ambiguous. Finally, we examine a special case with asymmetric players who have distinct synergies. In this example, even if one player has positive synergies and the other has negative synergies, it is still possible for expected prices to decline. Copyright Springer-Verlag Berlin/Heidelberg 2003

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File URL: http://hdl.handle.net/10.1007/s10058-003-0090-2
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Article provided by Springer in its journal Review Economic Design.

Volume (Year): 8 (2003)
Issue (Month): 1 (August)
Pages: 85-98

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Handle: RePEc:spr:reecde:v:8:y:2003:i:1:p:85-98
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  1. Krishna, V. & Rosenthal, R.W., 1995. "Simultaneous Auctions with Synergies," Papers 04-95-06, Pennsylvania State - Department of Economics.
  2. Vanderporten, Bruce, 1992. "Timing of Bids at Pooled Real Estate Auctions," The Journal of Real Estate Finance and Economics, Springer, vol. 5(3), pages 255-67, September.
  3. Ashenfelter, O. & Genesove, D., 1992. "Testing for Price Anomalies in Real Estate Auctions," Working papers 92-2, Massachusetts Institute of Technology (MIT), Department of Economics.
  4. Thomas D. Jeitschko & Elmar Wolfstetter, 2002. "Scale Economies and the Dynamics of Recurring Auctions," Economic Inquiry, Western Economic Association International, vol. 40(3), pages 403-414, July.
  5. McAfee R. Preston & Vincent Daniel, 1993. "The Declining Price Anomaly," Journal of Economic Theory, Elsevier, vol. 60(1), pages 191-212, June.
  6. Ashenfelter, Orley, 1989. "How Auctions Work for Wine and Art," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 23-36, Summer.
  7. Branco, Fernando, 1997. "Sequential auctions with synergies: An example," Economics Letters, Elsevier, vol. 54(2), pages 159-163, February.
  8. Fl. Menezes & P.K.Monteiro, 1994. "Sequential Asymmetric Auctions With Endogenous Participation," Microeconomics 9402001, EconWPA, revised 09 Jun 1994.
  9. Vanderporten, Bruce, 1992. "Strategic behavior in pooled condominium auctions," Journal of Urban Economics, Elsevier, vol. 31(1), pages 123-137, January.
  10. Jones, C. & Menezes, F. & Vella, F., 1996. "Auctions Price Anomalies: Evidence from Wool Auctions in Australia," Papers 303, Australian National University - Department of Economics.
  11. Gandal, Neil, 1997. "Sequential Auctions of Interdependent Objects: Israeli Cable Television Licenses," Journal of Industrial Economics, Wiley Blackwell, vol. 45(3), pages 227-44, September.
  12. Black, Jane & De Meza, David, 1992. "Systematic Price Differences between Successive Auctions Are No Anomaly," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 1(4), pages 607-28, Winter.
  13. Bernhardt, Dan & Scoones, David, 1993. "A Note on Sequential Auctions," Working Papers 829, California Institute of Technology, Division of the Humanities and Social Sciences.
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