IDEAS home Printed from https://ideas.repec.org/p/kud/kuieci/2005-04.html
   My bibliography  Save this paper

Pre-Auction Offers in Asymmetric First-Price and Second-Price Auctions

Author

Listed:
  • René Kirkegaard

    (Brock University)

  • Per Baltzer Overgaard

    (School of Economics and Management, University of Aarhus)

Abstract

We consider “must-sell” auctions with asymmetric buyers. First, we study auctions with two asymmetric buyers, where the distribution of valuations of the strong buyer is “stretched” relative to that of the weak buyer. Then, it is known that inefficient first-price auctions are more profitable for the seller than efficient second-price auctions. This is because the former favor the weak buyer. However, we show that the seller can do one better by augmenting the first-price auction by a pre-auction offer made exclusively to the strong buyer. Should the strong buyer reject the offer, the object is simply sold in an ordinary first-price auction. The result is driven by the fact that the unmodified first-price auction is too favorable to the weak buyer, and that the pre-auction offer allows some correction of this to the benefit of the seller. Secondly, we show quite generally that pre-auction offers never increase the profitability of second-price auctions, since they introduce the wrong kind of favoritism from the perspective of seller profits.

Suggested Citation

  • René Kirkegaard & Per Baltzer Overgaard, 2005. "Pre-Auction Offers in Asymmetric First-Price and Second-Price Auctions," CIE Discussion Papers 2005-04, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
    • Handle: RePEc:kud:kuieci:2005-04
    as

    Download full text from publisher

    File URL: http://www.econ.ku.dk/cie/dp/dp_2003-2006/2005-04.pdf/
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Bulow, Jeremy & Klemperer, Paul, 1996. "Auctions versus Negotiations," American Economic Review, American Economic Association, vol. 86(1), pages 180-194, March.
    2. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 413-438.
    3. Bulow, Jeremy & Roberts, John, 1989. "The Simple Economics of Optimal Auctions," Journal of Political Economy, University of Chicago Press, vol. 97(5), pages 1060-1090, October.
    4. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    5. Plum, M, 1992. "Characterization and Computation of Nash-Equilibria for Auctions with Incomplete Information," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(4), pages 393-418.
    6. Budish, Eric B. & Takeyama, Lisa N., 2001. "Buy prices in online auctions: irrationality on the internet?," Economics Letters, Elsevier, vol. 72(3), pages 325-333, September.
    7. Lopomo, Giuseppe, 1998. "The English Auction Is Optimal Among Simple Sequential Auctions," Journal of Economic Theory, Elsevier, vol. 82(1), pages 144-166, September.
    8. Ivanova-Stenzel, Radosveta & Kröger, Sabine, 2008. "Price formation in a sequential selling mechanism," Journal of Economic Behavior & Organization, Elsevier, vol. 67(3-4), pages 832-843, September.
    9. Blume, Andreas & Heidhues, Paul, 2004. "All equilibria of the Vickrey auction," Journal of Economic Theory, Elsevier, vol. 114(1), pages 170-177, January.
    10. Timothy Mathews, 2004. "The Impact of Discounting on an Auction with a Buyout Option: a Theoretical Analysis Motivated by eBay’s Buy-It-Now Feature," Journal of Economics, Springer, vol. 81(1), pages 25-52, January.
    11. Hidvegi, Zoltan & Wang, Wenli & Whinston, Andrew B., 2006. "Buy-price English auction," Journal of Economic Theory, Elsevier, vol. 129(1), pages 31-56, July.
    12. Lebrun, Bernard, 1999. "First Price Auctions in the Asymmetric N Bidder Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(1), pages 125-142, February.
    13. René Kirkegaard & Per Baltzer Overgaard, 2008. "Buy‐out prices in auctions: seller competition and multi‐unit demands," RAND Journal of Economics, RAND Corporation, vol. 39(3), pages 770-789, September.
    14. René Kirkegaard, 2006. "A short proof of the Bulow-Klemperer auctions vs. negotiations result," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 449-452, June.
    15. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    16. Timothy Mathews, 2003. "A Risk Averse Seller in a Continuous Time Auction with a Buyout Option," Brazilian Electronic Journal of Economics, Department of Economics, Universidade Federal de Pernambuco, vol. 5(2), January.
    17. Kirkegaard, René, 2009. "Asymmetric first price auctions," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1617-1635, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. René Kirkegaard, 2007. "Comparative Statics and Welfare in Heterogeneous Contests: Bribes, Caps, and Performance Thresholds," Working Papers 0702, Brock University, Department of Economics.
    2. Bernard Lebrun, 2015. "Revenue-superior variants of the second-price auction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(2), pages 245-275, June.
    3. René Kirkegaard & Per Baltzer Overgaard, 2008. "Buy‐out prices in auctions: seller competition and multi‐unit demands," RAND Journal of Economics, RAND Corporation, vol. 39(3), pages 770-789, September.
    4. Richard Engelbrecht-Wiggans & Elena Katok, 2006. "E-sourcing in Procurement: Theory and Behavior in Reverse Auctions with Noncompetitive Contracts," Management Science, INFORMS, vol. 52(4), pages 581-596, April.
    5. Daniel Montanera & Abhay Nath Mishra & T. S. Raghu, 2022. "Mitigating Risk Selection in Healthcare Entitlement Programs: A Beneficiary-Level Competitive Bidding Approach," Information Systems Research, INFORMS, vol. 33(4), pages 1221-1247, December.
    6. Schmöller, Arno, 2010. "Bidding Behavior, Seller Strategies, and the Utilization of Information in Auctions for Complex Goods," Munich Dissertations in Economics 11175, University of Munich, Department of Economics.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Shunda, Nicholas, 2009. "Auctions with a buy price: The case of reference-dependent preferences," Games and Economic Behavior, Elsevier, vol. 67(2), pages 645-664, November.
    2. Rene Kirkegaard, 2005. "A Simple Approach to Analyzing Asymmetric First Price Auctions," Working Papers 0504, Brock University, Department of Economics, revised Nov 2005.
    3. Ivanova-Stenzel, Radosveta & Kröger, Sabine, 2008. "Price formation in a sequential selling mechanism," Journal of Economic Behavior & Organization, Elsevier, vol. 67(3-4), pages 832-843, September.
    4. Kirkegaard, René, 2009. "Asymmetric first price auctions," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1617-1635, July.
    5. Burkett, Justin & Woodward, Kyle, 2020. "Uniform price auctions with a last accepted bid pricing rule," Journal of Economic Theory, Elsevier, vol. 185(C).
    6. Mares, Vlad & Swinkels, Jeroen M., 2014. "On the analysis of asymmetric first price auctions," Journal of Economic Theory, Elsevier, vol. 152(C), pages 1-40.
    7. Lorentziadis, Panos L., 2016. "Optimal bidding in auctions from a game theory perspective," European Journal of Operational Research, Elsevier, vol. 248(2), pages 347-371.
    8. Philippe Jehiel & Laurent Lamy, 2020. "On the Benefits of Set-Asides," Journal of the European Economic Association, European Economic Association, vol. 18(4), pages 1655-1696.
    9. Axel Ockenfels & David Reiley & Abdolkarim Sadrieh, 2006. "Online Auctions," NBER Working Papers 12785, National Bureau of Economic Research, Inc.
    10. Jong-Rong Chen & Kong-Pin Chen & Chien-Fu Chou & Ching-I Huang, 2013. "A Dynamic Model of Auctions with Buy-It-Now: Theory and Evidence," Journal of Industrial Economics, Wiley Blackwell, vol. 61(2), pages 393-429, June.
    11. Wang, Hong, 2017. "Analysis and design for multi-unit online auctions," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1191-1203.
    12. Timothy Hubbard & René Kirkegaard & Harry Paarsch, 2013. "Using Economic Theory to Guide Numerical Analysis: Solving for Equilibria in Models of Asymmetric First-Price Auctions," Computational Economics, Springer;Society for Computational Economics, vol. 42(2), pages 241-266, August.
    13. Kirkegaard, Rene, 2005. "Participation fees vs. reserve prices in auctions with asymmetric or colluding buyers," Economics Letters, Elsevier, vol. 89(3), pages 328-332, December.
    14. Timothy P. Hubbard & Harry J. Paarsch, 2012. "On the Numerical Solution of Equilibria in Auction Models with Asymmetries within the Private-Values Paradigm," Carlo Alberto Notebooks 291, Collegio Carlo Alberto.
    15. Bernard Lebrun, 2015. "Revenue-superior variants of the second-price auction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(2), pages 245-275, June.
    16. Jehiel, Philippe & Lamy, Laurent, 2014. "On discrimination in procurement auctions," CEPR Discussion Papers 9790, C.E.P.R. Discussion Papers.
    17. Jason Shachat & Lijia Tan, 2015. "An Experimental Investigation of Auctions and Bargaining in Procurement," Management Science, INFORMS, vol. 61(5), pages 1036-1051, May.
    18. Kotowski, Maciej H., 2018. "On asymmetric reserve prices," Theoretical Economics, Econometric Society, vol. 13(1), January.
    19. Jeremy Bulow & Paul Klemperer, 2007. "When are Auctions Best?," Economics Papers 2007-W03, Economics Group, Nuffield College, University of Oxford.
    20. Bauner, Christoph, 2015. "Mechanism choice and the buy-it-now auction: A structural model of competing buyers and sellers," International Journal of Industrial Organization, Elsevier, vol. 38(C), pages 19-31.

    More about this item

    Keywords

    first-price and second-price auctions; asymmetric bidders; pre-auction offers;
    All these keywords.

    JEL classification:

    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kud:kuieci:2005-04. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thomas Hoffmann (email available below). General contact details of provider: https://edirc.repec.org/data/ciekudk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.