IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/38371.html
   My bibliography  Save this paper

A dynamic model of auctions with buy-it-now: theory and evidence

Author

Listed:
  • Chen, Jong-Rong
  • Chen, Kong-Pin
  • Chou, Chien-Fu
  • Huang, Ching-I

Abstract

In the ascending-price auctions with Yahoo!-type buy-it-now (BIN), we characterize and derive the closed-form solution for the optimal bidding strategy of the bidder and the optimal BIN price of the seller when they are both risk-averse. The seller is shown to be strictly better o with the BIN option, while the bidders are better o only when their valuation is greater than a threshold value. The theory also implies that the expected transaction price is higher in an auction with an optimal BIN price than one without a BIN. This prediction is conrmed by our data collected from Taiwan's Yahoo! auctions of Nikon digital cameras.

Suggested Citation

  • Chen, Jong-Rong & Chen, Kong-Pin & Chou, Chien-Fu & Huang, Ching-I, 2006. "A dynamic model of auctions with buy-it-now: theory and evidence," MPRA Paper 38371, University Library of Munich, Germany, revised 24 Nov 2011.
  • Handle: RePEc:pra:mprapa:38371
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/38371/1/MPRA_paper_38371.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    3. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, April.
    4. 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.
    5. James H. Stock & Motohiro Yogo, 2002. "Testing for Weak Instruments in Linear IV Regression," NBER Technical Working Papers 0284, National Bureau of Economic Research, Inc.
    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. 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.
    9. Luís Cabral & Ali Hortaçsu, 2010. "The Dynamics Of Seller Reputation: Evidence From Ebay," Journal of Industrial Economics, Wiley Blackwell, vol. 58(1), pages 54-78, March.
    10. Pierre‐André Chiappori & Monica Paiella, 2011. "Relative Risk Aversion Is Constant: Evidence From Panel Data," Journal of the European Economic Association, European Economic Association, vol. 9(6), pages 1021-1052, December.
    11. Patrick Bajari & Ali Hortaçsu, 2004. "Economic Insights from Internet Auctions," Journal of Economic Literature, American Economic Association, vol. 42(2), pages 457-486, June.
    12. Yin, Pai-Ling, 2007. "Empirical tests of information aggregation," International Journal of Industrial Organization, Elsevier, vol. 25(6), pages 1179-1189, December.
    13. 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.
    14. Popkowski Leszczyc, Peter T.L. & Qiu, Chun & He, Yongfu, 2009. "Empirical Testing of the Reference-Price Effect of Buy-Now Prices in Internet Auctions," Journal of Retailing, Elsevier, vol. 85(2), pages 211-221.
    15. An, Yonghong & Hu, Yingyao & Shum, Matthew, 2010. "Estimating first-price auctions with an unknown number of bidders: A misclassification approach," Journal of Econometrics, Elsevier, vol. 157(2), pages 328-341, August.
    16. Axel Ockenfels & David Reiley & Abdolkarim Sadrieh, 2006. "Online Auctions," NBER Working Papers 12785, National Bureau of Economic Research, Inc.
    17. Daniel Houser & John Wooders, 2006. "Reputation in Auctions: Theory, and Evidence from eBay," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(2), pages 353-369, June.
    18. Hidvegi, Zoltan & Wang, Wenli & Whinston, Andrew B., 2006. "Buy-price English auction," Journal of Economic Theory, Elsevier, vol. 129(1), pages 31-56, July.
    19. 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.
    20. 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.
    21. Jeffrey A. Livingston, 2005. "How Valuable Is a Good Reputation? A Sample Selection Model of Internet Auctions," The Review of Economics and Statistics, MIT Press, vol. 87(3), pages 453-465, August.
    22. 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.
    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. Wang, Hong, 2017. "Analysis and design for multi-unit online auctions," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1191-1203.
    2. Alexander Maslov, 2020. "A Note on Buyers’ Behavior in Auctions with an Outside Option," Games, MDPI, vol. 11(3), pages 1-9, July.
    3. Hummel, Patrick, 2015. "Simultaneous use of auctions and posted prices," European Economic Review, Elsevier, vol. 78(C), pages 269-284.
    4. Chen, Kong-Pin & Lai, Hung-pin & Yu, Ya-Ting, 2018. "The seller's listing strategy in online auctions: Evidence from eBay," International Journal of Industrial Organization, Elsevier, vol. 56(C), pages 107-144.
    5. Radosveta Ivanova-Stenzel & Sabine Kröger, 2023. "Risk, Reward and Uncertainty in Buyer-Seller Transactions," CIRANO Working Papers 2023s-13, CIRANO.
    6. Alexander Maslov, 2022. "Competition in online markets with auctions and posted prices," Journal of Economics, Springer, vol. 137(2), pages 145-169, October.
    7. Grebe, Tim & Ivanova-Stenzel, Radosveta & Kröger, Sabine, 2021. "How do sellers benefit from Buy-It-Now prices in eBay auctions?," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 189-205.
    8. Liran Einav & Chiara Farronato & Jonathan D. Levin & Neel Sundaresan, 2013. "Sales Mechanisms in Online Markets: What Happened to Internet Auctions?," NBER Working Papers 19021, National Bureau of Economic Research, Inc.
    9. Kong-Pin Chen & Hung-pin Lai & Ya-Ting Yu, 2014. "Do consumers discount parallel imports?," Asia-Pacific Journal of Accounting & Economics, Taylor & Francis Journals, vol. 21(1), pages 58-77, March.
    10. Pranjal Chandrakar & Shubhabrata Das & Manaswini Bhalla, 2022. "Lease Auctions with Retention Options," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 20(1), pages 97-136, March.
    11. Ivanova-Stenzel, Radosveta & Grebe, Tim & Kröger, Sabine, 2019. "How do sellers benefit from Buy-It-Now prices in eBay auctions?," VfS Annual Conference 2019 (Leipzig): 30 Years after the Fall of the Berlin Wall - Democracy and Market Economy 203606, Verein für Socialpolitik / German Economic Association.
    12. Huang, Ching-I & Chen, Jong-Rong & Lee, Chiu-Yu, 2013. "Buyer behavior under the Best Offer mechanism: A theoretical model and empirical evidence from eBay Motors," Journal of Economic Behavior & Organization, Elsevier, vol. 94(C), pages 11-33.
    13. Kong‐Pin Chen & Szu‐Hsien Ho & Chi‐Hsiang Liu & Chien‐Ming Wang, 2017. "The Optimal Listing Strategies In Online Auctions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(2), pages 421-437, May.
    14. Alexander Maslov, 2023. "Bertrand Duopoly in Online Consumer-to-Consumer Markets," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 63(1), pages 97-109, August.
    15. Toshihiro Tsuchihashi, 2021. "A buyout option alleviates implicit collusion in uniform‐price auctions," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(5), pages 1146-1155, July.

    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. Chen, Kong-Pin & Lai, Hung-pin & Yu, Ya-Ting, 2018. "The seller's listing strategy in online auctions: Evidence from eBay," International Journal of Industrial Organization, Elsevier, vol. 56(C), pages 107-144.
    2. 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.
    3. Kevin Hasker & Robin Sickles, 2010. "eBay in the Economic Literature: Analysis of an Auction Marketplace," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 37(1), pages 3-42, August.
    4. Anwar, Sajid & Zheng, Mingli, 2015. "Posted price selling and online auctions," Games and Economic Behavior, Elsevier, vol. 90(C), pages 81-92.
    5. 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.
    6. Han, Jidong & Popkowski Leszczyc, Peter T.L. & Zhang, Zelin, 2021. "Empirical Analyses of Nonlinear Effects of Reserve Prices on Ending Prices in Online Auctions," Journal of Interactive Marketing, Elsevier, vol. 54(C), pages 86-102.
    7. Shunda, Nicholas, 2009. "Auctioning with Aspirations: Keep Them Low (Enough)," MPRA Paper 16242, University Library of Munich, Germany.
    8. Peyman Khezr, 2018. "Why Sellers Avoid Auctions: Theory and Evidence," The Journal of Real Estate Finance and Economics, Springer, vol. 56(2), pages 163-182, February.
    9. Sun, Chia-Hung & Hsu, Ming-Fei, 2007. "The Determinants of Price in Online Auctions: More Evidence from Quantile Regression," Economics Working Papers wp07-18, School of Economics, University of Wollongong, NSW, Australia.
    10. Ivanova-Stenzel, Radosveta & Grebe, Tim & Kröger, Sabine, 2019. "How do sellers benefit from Buy-It-Now prices in eBay auctions?," VfS Annual Conference 2019 (Leipzig): 30 Years after the Fall of the Berlin Wall - Democracy and Market Economy 203606, Verein für Socialpolitik / German Economic Association.
    11. Liu, Kang Ernest & Shiu, Ji-Liang & Sun, Chia-Hung, 2013. "How different are consumers in Internet auction markets? Evidence from Japan and Taiwan," Japan and the World Economy, Elsevier, vol. 28(C), pages 1-12.
    12. Axel Ockenfels & David Reiley & Abdolkarim Sadrieh, 2006. "Online Auctions," NBER Working Papers 12785, National Bureau of Economic Research, Inc.
    13. Kirkegaard, René & Overgaard, Per Baltzer, 2008. "Pre-auction offers in asymmetric first-price and second-price auctions," Games and Economic Behavior, Elsevier, vol. 63(1), pages 145-165, May.
    14. Gary Bolton & Ben Greiner & Axel Ockenfels, 2013. "Engineering Trust: Reciprocity in the Production of Reputation Information," Management Science, INFORMS, vol. 59(2), pages 265-285, January.
    15. Tim Grebe & Radosveta Ivanova-Stenzel & Sabine Kröger, 2009. "Buy-it-Now Prices in eBay Auctions-The Field in the Lab," Cahiers de recherche 0950, CIRPEE.
    16. Ronald Peeters & Martin Strobel & Dries Vermeulen & Markus Walzl, 2016. "The Impact of the Irrelevant: Temporary Buy-Options and Bidding Behavior in Auctions," Games, MDPI, vol. 7(1), pages 1-19, March.
    17. 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.
    18. Kong‐Pin Chen & Szu‐Hsien Ho & Chi‐Hsiang Liu & Chien‐Ming Wang, 2017. "The Optimal Listing Strategies In Online Auctions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(2), pages 421-437, May.
    19. Grebe, Tim & Ivanova-Stenzel, Radosveta & Kröger, Sabine, 2021. "How do sellers benefit from Buy-It-Now prices in eBay auctions?," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 189-205.
    20. Dmitry Shapiro, 2011. "Profitability of the Name-Your-Own-Price Channel in the Case of Risk-Averse Buyers," Marketing Science, INFORMS, vol. 30(2), pages 290-304, 03-04.

    More about this item

    Keywords

    online auction; but-it-now; risk-aversion;
    All these keywords.

    JEL classification:

    • L81 - Industrial Organization - - Industry Studies: Services - - - Retail and Wholesale Trade; e-Commerce
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact

    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:pra:mprapa:38371. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.