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On bidding for a fixed number of items in a sequence of auctions

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  • Katehakis, Michael N.
  • Puranam, Kartikeya S.

Abstract

We consider the problem of a firm (“the buyer”) that must acquire a fixed number (L) of items. The buyer can acquire these items either at a fixed buy-it-now price in the open market or by participating in a sequence of N>L auctions. The objective of the buyer is to minimize his expected total cost for acquiring all L items. We model this problem as a Markov Decision Process and establish monotonicity properties for the optimal value function and the optimal bidding strategies.

Suggested Citation

  • Katehakis, Michael N. & Puranam, Kartikeya S., 2012. "On bidding for a fixed number of items in a sequence of auctions," European Journal of Operational Research, Elsevier, vol. 222(1), pages 76-84.
  • Handle: RePEc:eee:ejores:v:222:y:2012:i:1:p:76-84
    DOI: 10.1016/j.ejor.2012.03.050
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    References listed on IDEAS

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    1. Dirk Bergemann & Maher Said, 2010. "Dynamic Auctions: A Survey," Cowles Foundation Discussion Papers 1757, Cowles Foundation for Research in Economics, Yale University.
    2. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521536721, April.
    3. John M. Crespi & Richard J. Sexton, 2004. "Bidding for Cattle in the Texas Panhandle," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(3), pages 660-674.
    4. Pinker, Edieal & Seidmann, Abraham & Vakrat, Yaniv, 2010. "Using bid data for the management of sequential, multi-unit, online auctions with uniformly distributed bidder valuations," European Journal of Operational Research, Elsevier, vol. 202(2), pages 574-583, April.
    5. Klemperer, Paul, 1999. " Auction Theory: A Guide to the Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 13(3), pages 227-286, July.
    6. 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.
    7. Milgrom, Paul, 1989. "Auctions and Bidding: A Primer," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 3-22, Summer.
    8. Richard Engelbrecht-Wiggans, 1980. "State of the Art---Auctions and Bidding Models: A Survey," Management Science, INFORMS, vol. 26(2), pages 119-142, February.
    9. Gustavo Vulcano & Garrett van Ryzin & Costis Maglaras, 2002. "Optimal Dynamic Auctions for Revenue Management," Manufacturing & Service Operations Management, INFORMS, vol. 4(1), pages 7-11.
    10. von der Fehr, Nils-Henrik Morch, 1994. "Predatory Bidding in Sequential Auctions," Oxford Economic Papers, Oxford University Press, vol. 46(3), pages 345-356, July.
    11. Klemperer, Paul, 1999. " Auction Theory: A Guide to the Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 13(3), pages 227-86, July.
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    Citations

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    Cited by:

    1. 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.
    2. repec:eee:ejores:v:261:y:2017:i:3:p:994-1000 is not listed on IDEAS
    3. Dennis Clerck & Erik Demeulemeester, 2016. "A sequential procurement model for a PPP project pipeline," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(2), pages 427-457, March.
    4. Jiang, Zhong-Zhong & Fang, Shu-Cherng & Fan, Zhi-Ping & Wang, Dingwei, 2013. "Selecting optimal selling format of a product in B2C online auctions with boundedly rational customers," European Journal of Operational Research, Elsevier, vol. 226(1), pages 139-153.

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