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Synergies and Price Trends in Sequential Auctions

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Author Info

  • Paulo Klinger Monteiro

    (IMPA)

  • Flavio Menezes

    (ANU)

Abstract

In this paper we consider sequential 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 in declining expected prices. There are several corollaries. First, the seller is indifferent between selling the objects simultaneously as a bundle or sequentially when synergies are positive. 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 in unchanged. Finally, we examine two special cases with asymmetric players. In the first case, players 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. In the second case, one player wants two objects and the remaining players want one object each. For this example, we show that expected prices may not necessarily decrease as predicted by Branco (1997). The reason is that players with single-unit demand will generally bid less than their true valuations in the first period. Therefore, there are two opposing forces; the reduction in the bid of the player with multiple-demand in the last auction and less aggressive bidding in the first auction by the players with single-unit demand.

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Bibliographic Info

Paper provided by EconWPA in its series Microeconomics with number 9901002.

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Date of creation: 13 Jan 1999
Date of revision: 03 Feb 1999
Handle: RePEc:wpa:wuwpmi:9901002

Note: Type of Document - Latex; prepared on IBM PC; to print on HP;
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Web page: http://128.118.178.162

Related research

Keywords: price declining anomaly; synergy;

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References

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  1. 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.
  2. Branco, Fernando, 1997. "Sequential auctions with synergies: An example," Economics Letters, Elsevier, vol. 54(2), pages 159-163, February.
  3. Krishna, Vijay & Rosenthal, Robert W., 1996. "Simultaneous Auctions with Synergies," Games and Economic Behavior, Elsevier, vol. 17(1), pages 1-31, November.
  4. Jones, C. & Menezes, F. & Vella, F., 1996. "Auctions Price Anomalies: Evidence from Wool Auctions in Australia," Papers 303, Australian National University - Department of Economics.
  5. Fl. Menezes & P.K.Monteiro, 1994. "Sequential Asymmetric Auctions With Endogenous Participation," Microeconomics 9402001, EconWPA, revised 09 Jun 1994.
  6. 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.
  7. 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.
  8. Ashenfelter, Orley & Genesove, David, 1992. "Testing for Price Anomalies in Real-Estate Auctions," American Economic Review, American Economic Association, vol. 82(2), pages 501-05, May.
  9. Bernhardt, Dan & Scoones, David, 1994. "A Note on Sequential Auctions," American Economic Review, American Economic Association, vol. 84(3), pages 653-57, June.
  10. Ashenfelter, Orley, 1989. "How Auctions Work for Wine and Art," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 23-36, Summer.
  11. McAfee R. Preston & Vincent Daniel, 1993. "The Declining Price Anomaly," Journal of Economic Theory, Elsevier, vol. 60(1), pages 191-212, June.
  12. repec:wop:humbsf:1998-62 is not listed on IDEAS
  13. 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.
  14. Vanderporten, Bruce, 1992. "Strategic behavior in pooled condominium auctions," Journal of Urban Economics, Elsevier, vol. 31(1), pages 123-137, January.
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Citations

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Cited by:
  1. Veronika Grimm, 2006. "Sequential versus Bundle Auctions for Recurring Procurement," Working Paper Series in Economics 27, University of Cologne, Department of Economics.
  2. Tang Sorensen, Soren, 2006. "Sequential auctions for stochastically equivalent complementary objects," Economics Letters, Elsevier, vol. 91(3), pages 337-342, June.
  3. Gerard Marty & Raphaele Preget, 2007. "A Socio-economic Analysis of French Public Timber Sales," Working Papers - Cahiers du LEF 2007-03, Laboratoire d'Economie Forestiere, AgroParisTech-INRA.
  4. Menezes, Flavio M. & Monteiro, Paulo K., 2004. "Auctions with synergies and asymmetric buyers," Economics Letters, Elsevier, vol. 85(2), pages 287-294, November.
  5. Reiss, J. Philipp & Schöndube Jens Robert, 2007. "First-Price Equilibrium and Revenue Equivalence in a Sequential Procurement Auction Model," Research Memorandum 003, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  6. Indranil Chakraborty, 2004. "Multi-Unit Auctions with Synergy," Economics Bulletin, AccessEcon, vol. 4(8), pages 1-14.
  7. repec:ebl:ecbull:v:4:y:2004:i:8:p:1-14 is not listed on IDEAS
  8. Das Varma, Gopal, 2003. "Bidding for a process innovation under alternative modes of competition," International Journal of Industrial Organization, Elsevier, vol. 21(1), pages 15-37, January.
  9. Veronika Grimm, 2004. "On Procurement Auctions Of Complementary Goods," Working Papers. Serie AD 2004-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  10. Stuart Kells, 2003. "Explaining The Breadth Of Expert Estimate Ranges In Auctions Of Rare Books," Department of Economics - Working Papers Series 873, The University of Melbourne.
  11. Xiaoshu Xu & Dan Levin & Lixin Ye, 2012. "Auctions with synergy and resale," International Journal of Game Theory, Springer, vol. 41(2), pages 397-426, May.

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