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Synergies and price trends in sequential auctions

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  • Flavio Menezes

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  • Paulo Monteiro

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Abstract

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

Suggested Citation

  • Flavio Menezes & Paulo Monteiro, 2003. "Synergies and price trends in sequential auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 8(1), pages 85-98, August.
  • Handle: RePEc:spr:reecde:v:8:y:2003:i:1:p:85-98
    DOI: 10.1007/s10058-003-0090-2
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    References listed on IDEAS

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    1. Ashenfelter, Orley & Genesove, David, 1992. "Testing for Price Anomalies in Real-Estate Auctions," American Economic Review, American Economic Association, vol. 82(2), pages 501-505, May.
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    8. Flavio Menezes & Paulo Monteiro, 1997. "Sequential asymmetric auctions with endogenous participation," Theory and Decision, Springer, vol. 43(2), pages 187-202, September.
    9. Vanderporten, Bruce, 1992. "Timing of Bids at Pooled Real Estate Auctions," The Journal of Real Estate Finance and Economics, Springer, vol. 5(3), pages 255-267, September.
    10. McAfee R. Preston & Vincent Daniel, 1993. "The Declining Price Anomaly," Journal of Economic Theory, Elsevier, vol. 60(1), pages 191-212, June.
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    12. 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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    Cited by:

    1. J. Reiß & Jens Schöndube, 2010. "First-price equilibrium and revenue equivalence in a sequential procurement auction model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 99-141, April.
    2. Indranil Chakraborty, 2004. "Multi-Unit Auctions with Synergy," Economics Bulletin, AccessEcon, vol. 4(8), pages 1-14.
    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. Miralles, Antonio, 2012. "Cardinal Bayesian allocation mechanisms without transfers," Journal of Economic Theory, Elsevier, vol. 147(1), pages 179-206.
    5. Veronika Grimm, 2004. "On Procurement Auctions Of Complementary Goods," Working Papers. Serie AD 2004-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    6. Tang Sorensen, Soren, 2006. "Sequential auctions for stochastically equivalent complementary objects," Economics Letters, Elsevier, vol. 91(3), pages 337-342, June.
    7. Peyman Khezr & Flavio Menezes, 2015. "Auctions with an asking price," Discussion Papers Series 539, School of Economics, University of Queensland, Australia.
    8. Rosato, Antonio, 2014. "Loss Aversion in Sequential Auctions: Endogenous Interdependence, Informational Externalities and the "Afternoon Effect"," MPRA Paper 56824, University Library of Munich, Germany.
    9. Veronika Grimm, 2007. "Sequential versus Bundle Auctions for Recurring Procurement," Journal of Economics, Springer, vol. 90(1), pages 1-27, January.
    10. Audrey Hu & Liang Zou, 2014. "Sequential Auctions, Price Trends, and Risk Preferences," Tinbergen Institute Discussion Papers 14-139/I, Tinbergen Institute.
    11. Xiaoshu Xu & Dan Levin & Lixin Ye, 2012. "Auctions with synergy and resale," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 397-426, May.
    12. 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.
    13. Audrey Hu & Liang Zou, 2016. "Sequential Auctions with Generalized Interdependent Values," Tinbergen Institute Discussion Papers 16-016/I, Tinbergen Institute.
    14. repec:ebl:ecbull:v:4:y:2004:i:8:p:1-14 is not listed on IDEAS
    15. 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.
    16. Menezes, Flavio M. & Monteiro, Paulo K., 2004. "Auctions with synergies and asymmetric buyers," Economics Letters, Elsevier, vol. 85(2), pages 287-294, November.
    17. Ramanathan Subramaniam & R. Venkatesh, 2009. "Optimal Bundling Strategies in Multiobject Auctions of Complements or Substitutes," Marketing Science, INFORMS, vol. 28(2), pages 264-273, 03-04.

    More about this item

    Keywords

    Synergies; sequential auctions; increasing and decreasing expected prices;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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