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Equilibrium Prices in Bundle Auctions

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  • Peter R. Wurman
  • Michael P. Wellman

Abstract

The allocation of discrete, complementary resources is a fundamental problem in economics and of direct interest to e-commerce applications. In this paper we establish that competitive equilibrium bundle prices always exist that support the efficient allocation in discrete resource allocation problems with free disposal. We believe that this is an important step in the quest for a mechanism that performs well in the face of complementary preferences. We present a family of auctions that use this bundle pricing policy, and make some initial observations on several of its members, including the new Ascending k-Bundle auction.

Suggested Citation

  • Peter R. Wurman & Michael P. Wellman, 1999. "Equilibrium Prices in Bundle Auctions," Working Papers 99-09-064, Santa Fe Institute.
  • Handle: RePEc:wop:safiwp:99-09-064
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    References listed on IDEAS

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    1. Bikhchandani, Sushil & Ostroy, Joseph M., 2002. "The Package Assignment Model," Journal of Economic Theory, Elsevier, vol. 107(2), pages 377-406, December.
    2. 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.
    3. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-872, August.
    4. R. Preston McAfee & John McMillan, 1996. "Analyzing the Airwaves Auction," Journal of Economic Perspectives, American Economic Association, vol. 10(1), pages 159-175, Winter.
    5. Gul, F. & Stacchetti, E., 1997. "Walrasian Equilibrium Without Complementarities," Papers 97-03, Michigan - Center for Research on Economic & Social Theory.
    6. Milgrom, Paul, 1989. "Auctions and Bidding: A Primer," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 3-22, Summer.
    7. Bikhchandani, Sushil & Mamer, John W., 1997. "Competitive Equilibrium in an Exchange Economy with Indivisibilities," Journal of Economic Theory, Elsevier, vol. 74(2), pages 385-413, June.
    8. John McMillan, 1994. "Selling Spectrum Rights," Journal of Economic Perspectives, American Economic Association, vol. 8(3), pages 145-162, Summer.
    9. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June.
    10. Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-479, June.
    11. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
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    Citations

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    Cited by:

    1. Drexl, Andreas & Jørnsten, Kurt & Knof, Diether, 2007. "Column aggregation-based pricing combinatorial auctions," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 624, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    2. Xia, Mu & Koehler, Gary J. & Whinston, Andrew B., 2004. "Pricing combinatorial auctions," European Journal of Operational Research, Elsevier, vol. 154(1), pages 251-270, April.
    3. Wurman, Peter R. & Wellman, Michael P. & Walsh, William E., 2001. "A Parametrization of the Auction Design Space," Games and Economic Behavior, Elsevier, vol. 35(1-2), pages 304-338, April.
    4. repec:pal:jorsoc:v:58:y:2007:i:12:d:10.1057_palgrave.jors.2602299 is not listed on IDEAS
    5. Proano, Ruben A. & Jacobson, Sheldon H. & Zhang, Wenbo, 2012. "Making combination vaccines more accessible to low-income countries: The antigen bundle pricing problem," Omega, Elsevier, vol. 40(1), pages 53-64, January.
    6. William E. Walsh & Michael P. Wellman, 1999. "Efficiency and Equilibrium in Task Allocation Economics with Hierarchical Dependencies," Working Papers 99-07-049, Santa Fe Institute.
    7. Somdeb Lahiri, 2006. "Existence of Equilibrium for Integer Allocation Problems," Economics Bulletin, AccessEcon, vol. 28(14), pages 1.
    8. Drexl, Andreas & Jörnsten, Kurt, 2005. "Reflections about pseudo-dual prices in combinatorial auctions," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 590, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    9. Drexl, Andreas & Jörnsten, Kurt, 2005. "Reflections about pseudo-dual prices in combinatorial auctions," Discussion Papers 2005/1, Norwegian School of Economics, Department of Business and Management Science.

    More about this item

    Keywords

    Combinatorial auctions; equilibrium; bundling.;

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