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An Example of a Multi-Object Auction Game

Author

Listed:
  • Richard Engelbrecht-Wiggans

    (Yale University)

  • Robert J. Weber

    (Northwestern University)

Abstract

Concurrent auctions of several objects are traditionally analyzed as if they were independent single-object auctions. Such an approximation may be very crude if bidders have budgetary restrictions, capacity constraints, or, in general, have non-linear utility functions. This paper presents a very simple multi-object auction for which explicit equilibrium strategies can be calculated; these equilibrium strategies have several qualitative characteristics arising from the multi-object nature of the example and therefore not present in typical single-object auctions. In particular, these results suggest that the observed variance in bids for offshore oil leases is not solely due to bidder uncertainty, but also to the method of auction currently employed.

Suggested Citation

  • Richard Engelbrecht-Wiggans & Robert J. Weber, 1979. "An Example of a Multi-Object Auction Game," Management Science, INFORMS, vol. 25(12), pages 1272-1277, December.
    • Handle: RePEc:inm:ormnsc:v:25:y:1979:i:12:p:1272-1277
    DOI: 10.1287/mnsc.25.12.1272
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    Citations

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    Cited by:

    1. Bindseil, Ulrich & Nyborg, Kjell G. & Strebulaev, Ilya A., 2002. "Bidding and performance in repo auctions: evidence from ECB open market operations," Working Paper Series 157, European Central Bank.
    2. Ravi Bapna & Chrysanthos Dellarocas & Sarah Rice, 2010. "Vertically Differentiated Simultaneous Vickrey Auctions: Theory and Experimental Evidence," Management Science, INFORMS, vol. 56(7), pages 1074-1092, July.
    3. Pitchik, Carolyn, 2009. "Budget-constrained sequential auctions with incomplete information," Games and Economic Behavior, Elsevier, vol. 66(2), pages 928-949, July.
    4. Cramton, Peter C, 1995. "Money Out of Thin Air: The Nationwide Narrowband PCS Auction," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(2), pages 267-343, Summer.
    5. Kim, Hee-Su, 1996. "Equilibrium and efficiency in auctions of complementary goods without bundling," Economics Letters, Elsevier, vol. 52(1), pages 49-54, July.
    6. John McMillan, 1994. "Selling Spectrum Rights," Journal of Economic Perspectives, American Economic Association, vol. 8(3), pages 145-162, Summer.
    7. Krishna, Vijay & Rosenthal, Robert W., 1996. "Simultaneous Auctions with Synergies," Games and Economic Behavior, Elsevier, vol. 17(1), pages 1-31, November.
    8. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    9. Seokjoo Andrew Chang, 2012. "Time dynamics of overlapping e-auction mechanisms: Information transfer, strategic user behavior and auction revenue," Information Systems Frontiers, Springer, vol. 14(2), pages 331-342, April.
    10. James J. Anton & Sandro Brusco & Giuseppe Lopomo, 2007. "Coordination in Split-Award Auctions with Uncertain Scale Economies: Theory and Data," Department of Economics Working Papers 07-02, Stony Brook University, Department of Economics.
    11. Elena Katok & Alvin E. Roth, 2004. "Auctions of Homogeneous Goods with Increasing Returns: Experimental Comparison of Alternative "Dutch" Auctions," Management Science, INFORMS, vol. 50(8), pages 1044-1063, August.
    12. Sulin Ba & Jan Stallaert & Andrew B. Whinston, 2001. "Optimal Investment in Knowledge Within a Firm Using a Market Mechanism," Management Science, INFORMS, vol. 47(9), pages 1203-1219, September.
    13. Wellman, Michael P. & Sodomka, Eric & Greenwald, Amy, 2017. "Self-confirming price-prediction strategies for simultaneous one-shot auctions," Games and Economic Behavior, Elsevier, vol. 102(C), pages 339-372.

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    Keywords

    bidding;

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