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Computationally Manageable Combinational Auctions

Author

Listed:
  • Michael H. Rothkopf

    (Faculty of Management and Rutgers Center for Operations Research, Rutgers University, New Brunswick, New Jersey 08903-5062)

  • Aleksandar Pekev{c}

    (BRICS, Department of Computer Science, University of Aarhus, Denmark)

  • Ronald M. Harstad

    (Faculty of Management and Rutgers Center for Operations Research, Rutgers University, New Brunswick, New Jersey 08903-5062)

Abstract

There is interest in designing simultaneous auctions for situations such as the recent FCC radio spectrum auctions, in which the value of assets to a bidder depends on which other assets he or she wins. In such auctions, bidders may wish to submit bids for combinations of assets. When this is allowed, the problem of determining the revenue maximizing set of nonconflicting bids can be difficult. We analyze this problem, identifying several different structures of permitted combinational bids for which computational tractability is constructively demonstrated and some structures for which computational tractability cannot be guaranteed.

Suggested Citation

  • Michael H. Rothkopf & Aleksandar Pekev{c} & Ronald M. Harstad, 1998. "Computationally Manageable Combinational Auctions," Management Science, INFORMS, vol. 44(8), pages 1131-1147, August.
  • Handle: RePEc:inm:ormnsc:v:44:y:1998:i:8:p:1131-1147
    DOI: 10.1287/mnsc.44.8.1131
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    File URL: http://dx.doi.org/10.1287/mnsc.44.8.1131
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    References listed on IDEAS

    as
    1. Rosenthal, Robert W. & Wang, Ruqu, 1996. "Simultaneous Auctions with Synergies and Common Values," Games and Economic Behavior, Elsevier, vol. 17(1), pages 32-55, November.
    2. Krishna, Vijay & Rosenthal, Robert W., 1996. "Simultaneous Auctions with Synergies," Games and Economic Behavior, Elsevier, vol. 17(1), pages 1-31, November.
    3. Jeffrey S. Banks & John O. Ledyard & David P. Porter, 1989. "Allocating Uncertain and Unresponsive Resources: An Experimental Approach," RAND Journal of Economics, The RAND Corporation, vol. 20(1), pages 1-25, Spring.
    4. John McMillan, 1994. "Selling Spectrum Rights," Journal of Economic Perspectives, American Economic Association, vol. 8(3), pages 145-162, Summer.
    5. S.J. Rassenti & V.L. Smith & R.L. Bulfin, 1982. "A Combinatorial Auction Mechanism for Airport Time Slot Allocation," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 402-417, Autumn.
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