IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v239y2014i2p579-592.html
   My bibliography  Save this article

All-pay auctions with pre- and post-bidding options

Author

Listed:
  • Ødegaard, Fredrik
  • Anderson, Chris K.

Abstract

Motivated by the emergence of online penny or pay-to-bid auctions, in this study, we analyze the operational consequences of all-pay auctions competing with fixed list price stores. In all-pay auctions, bidders place bids, and highest bidder wins. Depending on the auction format, the winner pays either the amount of their bid or that of the second-highest bid. All losing bidders forfeit their bids, regardless of the auction format. Bidders may visit the store, both before and after bidding, and buy the item at the fixed list price. In a modified version, we consider a setting where bidders can use their sunk bid as a credit towards buying the item from the auctioneer at a fixed price (different from the list price). We characterize a symmetric equilibrium in the bidding/buying strategy and derive optimal list prices for both the seller and auctioneer to maximize expected revenue. We consider two situations: (1) one firm operating both channels (i.e. fixed list price store and all-pay auction), and (2) two competing firms, each operating one of the two channels.

Suggested Citation

  • Ødegaard, Fredrik & Anderson, Chris K., 2014. "All-pay auctions with pre- and post-bidding options," European Journal of Operational Research, Elsevier, vol. 239(2), pages 579-592.
    • Handle: RePEc:eee:ejores:v:239:y:2014:i:2:p:579-592
    DOI: 10.1016/j.ejor.2014.06.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221714004949
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2014.06.011?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    2. Michael R. Baye & Dan Kovenock & Casper G. Vries, 2008. "Rigging the lobbying process: An application of the all-pay auction," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 331-336, Springer.
    3. Paul R. Milgrom & Robert J. Weber, 1985. "Distributional Strategies for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 619-632, November.
    4. Hila Etzion & Edieal Pinker & Abraham Seidmann, 2006. "Analyzing the Simultaneous Use of Auctions and Posted Prices for Online Selling," Manufacturing & Service Operations Management, INFORMS, vol. 8(1), pages 68-91, March.
    5. Simon P. Anderson & Jacob K. Goeree & Charles A. Holt, 1998. "Rent Seeking with Bounded Rationality: An Analysis of the All-Pay Auction," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 225-250, Springer.
    6. Michael H. Rothkopf & Ronald M. Harstad, 1994. "Modeling Competitive Bidding: A Critical Essay," Management Science, INFORMS, vol. 40(3), pages 364-384, March.
    7. Gneezy, Uri & Smorodinsky, Rann, 2006. "All-pay auctions--an experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 61(2), pages 255-275, October.
    8. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    9. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-392, June.
    10. Edieal J. Pinker & Abraham Seidmann & Yaniv Vakrat, 2003. "Managing Online Auctions: Current Business and Research Issues," Management Science, INFORMS, vol. 49(11), pages 1457-1484, November.
    11. Krishna, Vijay & Morgan, John, 1997. "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, Elsevier, vol. 72(2), pages 343-362, February.
    12. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    13. Ernan Haruvy & Peter Popkowski Leszczyc & Octavian Carare & James Cox & Eric Greenleaf & Wolfgang Jank & Sandy Jap & Young-Hoon Park & Michael Rothkopf, 2008. "Competition between auctions," Marketing Letters, Springer, vol. 19(3), pages 431-448, December.
    14. Brennan C. Platt & Joseph Price & Henry Tappen, 2013. "The Role of Risk Preferences in Pay-to-Bid Auctions," Management Science, INFORMS, vol. 59(9), pages 2117-2134, September.
    15. Swider, Derk J. & Weber, Christoph, 2007. "Bidding under price uncertainty in multi-unit pay-as-bid procurement auctions for power systems reserve," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1297-1308, September.
    16. René Caldentey & Gustavo Vulcano, 2007. "Online Auction and List Price Revenue Management," Management Science, INFORMS, vol. 53(5), pages 795-813, May.
    17. Robinson, Stacey G. & Giebelhausen, Michael D. & Cotte, June, 2013. "Shopping, gambling or shambling? Penny auctions," Journal of Business Research, Elsevier, vol. 66(9), pages 1612-1616.
    18. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
    19. Toomas Hinnosaar, 2013. "Penny Auctions are Unpredictable," Carlo Alberto Notebooks 305, Collegio Carlo Alberto.
    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. Aner Sela, 2023. "All-pay matching contests," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(2), pages 587-606, June.
    2. Fredrik Ødegaard & Charles Z. Zheng, 2023. "Trilateral escalation in the dollar auction," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 195-230, March.
    3. Minbo Xu & Sanxi Li & Jianye Yan, 2019. "All‐Pay Auctions With A Buy‐Price Option," Economic Inquiry, Western Economic Association International, vol. 57(1), pages 617-630, January.

    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. David P. Myatt, 2005. "Instant Exit from the Asymmetric War of Attrition," Economics Series Working Papers 160, University of Oxford, Department of Economics.
    2. Ghate, Archis, 2015. "Optimal minimum bids and inventory scrapping in sequential, single-unit, Vickrey auctions with demand learning," European Journal of Operational Research, Elsevier, vol. 245(2), pages 555-570.
    3. 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.
    4. Yonghong Long, 2009. "Bidders¡¯ Risk Preferences in Discriminative Auctions," Annals of Economics and Finance, Society for AEF, vol. 10(1), pages 215-223, May.
    5. Ivanova-Stenzel, Radosveta & Salmon, Timothy C., 2008. "Revenue equivalence revisited," Games and Economic Behavior, Elsevier, vol. 64(1), pages 171-192, September.
    6. Li, Zhen & Kuo, Ching-Chung, 2011. "Revenue-maximizing Dutch auctions with discrete bid levels," European Journal of Operational Research, Elsevier, vol. 215(3), pages 721-729, December.
    7. Atanu R. Sinha & Eric A. Greenleaf, 2000. "The Impact of Discrete Bidding and Bidder Aggressiveness on Sellers' Strategies in Open English Auctions: Reserves and Covert Shilling," Marketing Science, INFORMS, vol. 19(3), pages 244-265, May.
    8. Yu Ning & Su Xiu Xu & George Q. Huang & Xudong Lin, 2021. "Optimal digital product auctions with unlimited supply and rebidding behavior," Annals of Operations Research, Springer, vol. 307(1), pages 399-416, December.
    9. Che, Yeon-Koo & Gale, Ian, 1996. "Expected revenue of all-pay auctions and first-price sealed-bid auctions with budget constraints," Economics Letters, Elsevier, vol. 50(3), pages 373-379, March.
    10. Chatterjee, Krishnendu & Reiter, Johannes G. & Nowak, Martin A., 2012. "Evolutionary dynamics of biological auctions," Theoretical Population Biology, Elsevier, vol. 81(1), pages 69-80.
    11. Emmanuel Dechenaux & Dan Kovenock & Roman Sheremeta, 2015. "A survey of experimental research on contests, all-pay auctions and tournaments," Experimental Economics, Springer;Economic Science Association, vol. 18(4), pages 609-669, December.
    12. Kang, Chao-Chung & Lee, Tsun-Siou & Huang, Szu-Chi, 2013. "Royalty bargaining in Public–Private Partnership projects: Insights from a theoretic three-stage game auction model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 59(C), pages 1-14.
    13. Kirkegaard, René, 2009. "Asymmetric first price auctions," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1617-1635, July.
    14. Gustavo Vulcano & Garrett van Ryzin & Costis Maglaras, 2002. "Optimal Dynamic Auctions for Revenue Management," Management Science, INFORMS, vol. 48(11), pages 1388-1407, November.
    15. Ragavendran Gopalakrishnan & Eric Bax & Krishna Prasad Chitrapura & Sachin Garg, 2015. "Portfolio Allocation for Sellers in Online Advertising," Papers 1506.02020, arXiv.org.
    16. Baisa, Brian, 2017. "Auction design without quasilinear preferences," Theoretical Economics, Econometric Society, vol. 12(1), January.
    17. Noussair, C.N. & Silver, J., 2006. "Behavior in all-pay auctions under incomplete information," Other publications TiSEM 9833c8a8-7aa4-4529-a617-8, Tilburg University, School of Economics and Management.
    18. Kaplan, Todd R. & Zamir, Shmuel, 2015. "Advances in Auctions," Handbook of Game Theory with Economic Applications,, Elsevier.
    19. Hickman Brent R. & Hubbard Timothy P. & Sağlam Yiğit, 2012. "Structural Econometric Methods in Auctions: A Guide to the Literature," Journal of Econometric Methods, De Gruyter, vol. 1(1), pages 67-106, August.
    20. 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.

    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:eee:ejores:v:239:y:2014:i:2:p:579-592. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.