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Optimal Bidding in Sequential Auctions

Author

Listed:
  • Shmuel S. Oren

    (Xerox Corporation, Palo Alto, California, and Stanford University, Stanford, California)

  • Michael H. Rothkopf

    (Xerox Corporation, Palo Alto, California)

Abstract

A bidder's strategy in one auction may affect his competitors' behavior in subsequent auctions. When this occurs, bidding in a sequence of auctions can be modeled fruitfully as a multistage control process. This paper presents such a model. In it the control is the bidder's strategy, the state characterizes the competitors' behavior and the state transition represents the competitors' reaction to the bidder's strategy. Dynamic programming is used to derive the infinite horizon optimal bidding strategy. We show that in steady state this optimal strategy generalizes a previous result for equilibrium bidding strategy in “one-shot” auctions.

Suggested Citation

  • Shmuel S. Oren & Michael H. Rothkopf, 1975. "Optimal Bidding in Sequential Auctions," Operations Research, INFORMS, vol. 23(6), pages 1080-1090, December.
    • Handle: RePEc:inm:oropre:v:23:y:1975:i:6:p:1080-1090
    DOI: 10.1287/opre.23.6.1080
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    Citations

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    Cited by:

    1. Wilson, William W. & Diersen, Matthew A., 2001. "Competitive Bidding On Import Tenders: The Case Of Minor Oilseeds," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 26(1), pages 1-16, July.
    2. Wei Lo & Raymond Krizek & Ahmad Hadavi, 1999. "Effects of high prequalification requirements," Construction Management and Economics, Taylor & Francis Journals, vol. 17(5), pages 603-612.
    3. Laffont, Jean-Jacques, 1997. "Game theory and empirical economics: The case of auction data 1," European Economic Review, Elsevier, vol. 41(1), pages 1-35, January.
    4. Johannes Horner & Julian Jamison, 2006. "Private Information in Sequential Common-Value Auctions," Discussion Papers 1422, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. William W. Wilson & Bruce L. Dahl, 2004. "Transparency and Bidding Competition in International Wheat Trade," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 52(1), pages 89-105, March.
    6. Michael H. Rothkopf & Ronald M. Harstad & Yuhong Fu, 2003. "Is Subsidizing Inefficient Bidders Actually Costly?," Management Science, INFORMS, vol. 49(1), pages 71-84, January.
    7. Ali E. Abbas & Il-Horn Hann, 2010. "Measuring Risk Aversion in a Name-Your-Own-Price Channel," Decision Analysis, INFORMS, vol. 7(1), pages 123-136, March.
    8. Ronald M. Harstad & Aleksandar Saša Pekeč, 2008. "Relevance to Practice and Auction Theory: A Memorial Essay for Michael Rothkopf," Interfaces, INFORMS, vol. 38(5), pages 367-380, October.
    9. 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.
    10. Michael H. Rothkopf, 2007. "Decision Analysis: The Right Tool for Auctions," Decision Analysis, INFORMS, vol. 4(3), pages 167-172, September.
    11. Sandy D. Jap & Prasad A. Naik, 2008. "BidAnalyzer: A Method for Estimation and Selection of Dynamic Bidding Models," Marketing Science, INFORMS, vol. 27(6), pages 949-960, 11-12.
    12. Giuseppe Lopomo & Leslie Marx & Peng Sun, 2011. "Bidder collusion at first-price auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 15(3), pages 177-211, September.
    13. Michael H. Rothkopf & Sunju Park, 2001. "An Elementary Introduction to Auctions," Interfaces, INFORMS, vol. 31(6), pages 83-97, December.
    14. Skitmore, Martin, 2002. "Identifying non-competitive bids in construction contract auctions," Omega, Elsevier, vol. 30(6), pages 443-449, December.

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