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Auctions with a buy price: The case of reference-dependent preferences

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  • Shunda, Nicholas

Abstract

In an auction with a buy price, the seller provides bidders with an option to end the auction early by accepting a transaction at a posted price. This paper develops a model of an auction with a buy price in which bidders use the auction's reserve price and buy price to formulate a reference price. The model both explains why a revenue-maximizing seller would want to augment her auction with a buy price and demonstrates that the seller sets a higher reserve price when she can affect the bidders' reference price through the auction's reserve price and buy price than when she can affect the bidders' reference price through the auction's reserve price only. The comparative statics properties of bidding behavior are in sharp contrast to equilibrium behavior in other models where the existence and size of the auction's buy price have no effect on bidding behavior.

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  • 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.
    • Handle: RePEc:eee:gamebe:v:67:y:2009:i:2:p:645-664
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    1. Corrigan, Jay R. & Rousu, Matthew C., 2006. "AJAE Appendix: Posted Prices and Bid Affiliation: Evidence from Experimental Auctions," American Journal of Agricultural Economics APPENDICES, Agricultural and Applied Economics Association, vol. 88(4), pages 1-12, November.
    2. Stephanie Rosenkranz & Patrick W. Schmitz, 2007. "Reserve Prices in Auctions as Reference Points," Economic Journal, Royal Economic Society, vol. 117(520), pages 637-653, April.
    3. repec:ken:wpaper:0602 is not listed on IDEAS
    4. Stanley Reynolds & John Wooders, 2009. "Auctions with a buy price," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(1), pages 9-39, January.
    5. Botond Kőszegi & Matthew Rabin, 2006. "A Model of Reference-Dependent Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1133-1165.
    6. Durham Yvonne & Roelofs Matthew R & Standifird Stephen S, 2004. "eBay's Buy-It-Now Function: Who, When, and How," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 4(1), pages 1-24, October.
    7. Anna Dodonova & Yuri Khoroshilov, 2004. "Anchoring and transaction utility: evidence from on-line auctions," Applied Economics Letters, Taylor & Francis Journals, vol. 11(5), pages 307-310.
    8. Amos Tversky & Daniel Kahneman, 1991. "Loss Aversion in Riskless Choice: A Reference-Dependent Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(4), pages 1039-1061.
    9. John A. List & Jason F. Shogren, 1999. "Price Information and Bidding Behavior in Repeated Second-Price Auctions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(4), pages 942-949.
    10. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-392, June.
    11. 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.
    12. Wang, Ruqu, 1993. "Auctions versus Posted-Price Selling," American Economic Review, American Economic Association, vol. 83(4), pages 838-851, September.
    13. 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.
    14. Timothy Mathews & Brett Katzman, 2006. "The role of varying risk attitudes in an auction with a buyout option," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(3), pages 597-613, April.
    15. Jullien, B. & Mariotti, T., 2006. "Auction and the informed seller problem," Games and Economic Behavior, Elsevier, vol. 56(2), pages 225-258, August.
    16. Utpal M. Dholakia & Itamar Simonson, 2005. "The Effect of Explicit Reference Points on Consumer Choice and Online Bidding Behavior," Marketing Science, INFORMS, vol. 24(2), pages 206-217, October.
    17. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    18. Drichoutis, Andreas C. & Lazaridis, Panagiotis & Nayga Jr., Rodolfo M., 2008. "The role of reference prices in experimental auctions," Economics Letters, Elsevier, vol. 99(3), pages 446-448, June.
    19. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
    20. Steven Anderson & Daniel Friedman & Garrett Milam & Nirvikar Singh, 2004. "Seller Strategies on eBay," Industrial Organization 0412004, University Library of Munich, Germany.
    21. Anderson, Steven & Friedman, Daniel & Milam, Garrett & Singh, Nirvikar, 2007. "Seller strategies on eBay: Does size matter?," MPRA Paper 4324, University Library of Munich, Germany.
    22. 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.
    23. Hidvegi, Zoltan & Wang, Wenli & Whinston, Andrew B., 2006. "Buy-price English auction," Journal of Economic Theory, Elsevier, vol. 129(1), pages 31-56, July.
    24. Steven Anderson & Daniel Friedman & Garrett Milam & Nirvikar Singh, 2004. "Buy it Now: A Hybrid Internet Market Institution," Industrial Organization 0412003, University Library of Munich, Germany.
    25. Kamins, Michael A & Dreze, Xavier & Folkes, Valerie S, 2004. "Effects of Seller-Supplied Prices on Buyers' Product Evaluations: Reference Prices in an Internet Auction Context," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 30(4), pages 622-628, March.
    26. Xin Wang & Alan Montgomery & Kannan Srinivasan, 2008. "When auction meets fixed price: a theoretical and empirical examination of buy-it-now auctions," Quantitative Marketing and Economics (QME), Springer, vol. 6(4), pages 339-370, December.
    27. Subir Bose & Arup Daripa, 2009. "Optimal sale across venues and auctions with a buy-now option," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(1), pages 137-168, January.
    28. Grebe, Tim & Ivanova-Stenzel, Radosveta & Kröger, Sabine, 2006. "How eBay Sellers set “Buy-it-now†prices - Bringing The Field Into the Lab," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 181, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    29. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    30. Subir Bose & Arup Daripa, 2007. "Optimal Sale: Auctions with a Buy-Now Option," Birkbeck Working Papers in Economics and Finance 0702, Birkbeck, Department of Economics, Mathematics & Statistics.
    31. Gurumurthy Kalyanaram & Russell S. Winer, 1995. "Empirical Generalizations from Reference Price Research," Marketing Science, INFORMS, vol. 14(3_supplem), pages 161-169.
    32. 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.
    33. Stefan Seifert, 2006. "Posted Price Offers in Internet Auction Markets," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-35268-6, October.
    34. Milgrom, Paul, 1989. "Auctions and Bidding: A Primer," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 3-22, Summer.
    35. John Bernard, 2005. "Evidence of affiliation of values in a repeated trial auction experiment," Applied Economics Letters, Taylor & Francis Journals, vol. 12(11), pages 687-691.
    36. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    37. Cai, Hongbin & Riley, John & Ye, Lixin, 2007. "Reserve price signaling," Journal of Economic Theory, Elsevier, vol. 135(1), pages 253-268, July.
    38. Haruvy, Ernan & Popkowski Leszczyc, Peter T. L., 2010. "Internet Auctions," Foundations and Trends(R) in Marketing, now publishers, vol. 4(1), pages 1-75, March.
    39. 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.
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    More about this item

    Keywords

    Auction Buy price Internet Reference-dependence;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • L86 - Industrial Organization - - Industry Studies: Services - - - Information and Internet Services; Computer Software

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