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Simultaneous ascending auctions with complementarities and known budget constraints

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  • Sandro Brusco

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  • Giuseppe Lopomo

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Abstract

We study simultaneous ascending auctions of identical objects when bidders are financially constrained and their valuations exhibit complementarities. We assume the budget constraints are known but the values for individual objects are private information, and characterize noncollusive equilibria. The equilibria exhibit the exposure problem. The bidder with the highest budget is more reluctant to bid, because the bidder with the lowest budget may end up pursuing only one object, thus preventing the realization of complementarities. In some states of the world both objects are assigned to the poorer bidder although that bidder has a lower valuation. Classification number-JEL: D44,H.
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Suggested Citation

  • Sandro Brusco & Giuseppe Lopomo, 2009. "Simultaneous ascending auctions with complementarities and known budget constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(1), pages 105-124, January.
  • Handle: RePEc:spr:joecth:v:38:y:2009:i:1:p:105-124
    DOI: 10.1007/s00199-007-0217-8
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    References listed on IDEAS

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    1. Sandro Brusco & Giuseppe Lopomo, 2002. "Collusion via Signalling in Simultaneous Ascending Bid Auctions with Heterogeneous Objects, with and without Complementarities," Review of Economic Studies, Oxford University Press, vol. 69(2), pages 407-436.
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    Citations

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    Cited by:

    1. Megidish, Reut & Sela, Aner, 2011. "Sequential Contests with Synergy and Budget Constraints," CEPR Discussion Papers 8383, C.E.P.R. Discussion Papers.
    2. Goeree, Jacob K. & Lien, Yuanchuan, 2014. "An equilibrium analysis of the simultaneous ascending auction," Journal of Economic Theory, Elsevier, vol. 153(C), pages 506-533.
    3. Alexey Malakhov & Rakesh Vohra, 2008. "Optimal auctions for asymmetrically budget constrained bidders," Review of Economic Design, Springer;Society for Economic Design, vol. 12(4), pages 245-257, December.
    4. Gerard van der Laan & Zaifu Yang, 2016. "An ascending multi-item auction with financially constrained bidders," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 109-149, December.
    5. Hikmet Gunay & Xin Meng, 2012. "Exposure Problem in Multi-unit Auctions," ISER Discussion Paper 0848, Institute of Social and Economic Research, Osaka University.
    6. Song Yao & Carl F. Mela, 2008. "Online Auction Demand," Marketing Science, INFORMS, vol. 27(5), pages 861-885, 09-10.
    7. Gagan Ghosh, 2015. "Non-existence of equilibria in simultaneous auctions with a common budget-constraint," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(2), pages 253-274, May.
    8. Kai Konrad, 2012. "Information alliances in contests with budget limits," Public Choice, Springer, vol. 151(3), pages 679-693, June.
    9. George Deltas, 2009. "Introduction to the Symposium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(1), pages 1-7, January.
    10. Zheng, Charles Z., 2012. "Jump bidding and overconcentration in decentralized simultaneous ascending auctions," Games and Economic Behavior, Elsevier, vol. 76(2), pages 648-664.
    11. Bichler, Martin & Goeree, Jacob K., 2017. "Frontiers in spectrum auction design," International Journal of Industrial Organization, Elsevier, vol. 50(C), pages 372-391.
    12. M. Yenmez, 2014. "Pricing in position auctions and online advertising," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 243-256, January.
    13. repec:eee:matsoc:v:91:y:2018:i:c:p:51-55 is not listed on IDEAS
    14. Aner Sela & Reut Megidish, 2012. "Sequential Contests With Synergy And Budget Constraints," Working Papers 1212, Ben-Gurion University of the Negev, Department of Economics.
    15. repec:eee:matsoc:v:88:y:2017:i:c:p:11-15 is not listed on IDEAS
    16. Giuseppe Lopomo & Leslie M. Marx & David McAdams & Brian Murray, 2011. "Carbon Allowance Auction Design: An Assessment of Options for the United States," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 5(1), pages 25-43, Winter.
    17. David McAdams & Giuseppe Lopomo & Leslie Marx & Brian Murray, "undated". "Carbon Allowance Auction Design: An Assessment of Options for the U.S," Working Papers 10-64, Duke University, Department of Economics.
    18. Reut Megidish & Aner Sela, 2014. "Sequential contests with synergy and budget constraints," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(1), pages 215-243, January.

    More about this item

    Keywords

    Multiple-object auctions; Budget constraints; Complementarities; D44 [H];

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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