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Simultaneous Ascending Auctions with Complementarities and Known Budget Constraints

Author

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  • Sandro Brusco

    (Department of Economics, SUNY at Stony Brook)

  • Giuseppe Lopomo

    (The Fuqua School of Business, Duke University)

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.

Suggested Citation

  • Sandro Brusco & Giuseppe Lopomo, 2005. "Simultaneous Ascending Auctions with Complementarities and Known Budget Constraints," Department of Economics Working Papers 05-13, Stony Brook University, Department of Economics.
    • Handle: RePEc:nys:sunysb:05-13
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    References listed on IDEAS

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    1. 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.
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    14. Zheng, Charles Z., 2012. "Jump bidding and overconcentration in decentralized simultaneous ascending auctions," Games and Economic Behavior, Elsevier, vol. 76(2), pages 648-664.
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    Cited by:

    1. 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.
    2. 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.
    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. Meng, Xin & Gunay, Hikmet, 2017. "Exposure problem in multi-unit auctions," International Journal of Industrial Organization, Elsevier, vol. 52(C), pages 165-187.
    6. Brusco, Sandro & Lopomo, Giuseppe & Marx, Leslie M., 2009. "The [`]Google effect' in the FCC's 700Â MHz auction," Information Economics and Policy, Elsevier, vol. 21(2), pages 101-114, June.
    7. Song Yao & Carl F. Mela, 2008. "Online Auction Demand," Marketing Science, INFORMS, vol. 27(5), pages 861-885, 09-10.
    8. Zheng, Charles Z., 2012. "Jump bidding and overconcentration in decentralized simultaneous ascending auctions," Games and Economic Behavior, Elsevier, vol. 76(2), pages 648-664.
    9. Gentry, Matthew & Komarova, Tatiana & Schiraldi, Pasquale & Shin, Wiroy, 2019. "On monotone strategy equilibria in simultaneous auctions for complementary goods," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 109-128.
    10. Chaithanya Bandi & Dimitris Bertsimas, 2014. "Optimal Design for Multi-Item Auctions: A Robust Optimization Approach," Mathematics of Operations Research, INFORMS, vol. 39(4), pages 1012-1038, November.
    11. 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.
    12. 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.
    13. 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.
    14. Kai Konrad, 2012. "Information alliances in contests with budget limits," Public Choice, Springer, vol. 151(3), pages 679-693, June.
    15. Kotowski, Maciej H., 2020. "First-price auctions with budget constraints," Theoretical Economics, Econometric Society, vol. 15(1), January.
    16. Santiago R. Balseiro & Ozan Candogan, 2017. "Optimal Contracts for Intermediaries in Online Advertising," Operations Research, INFORMS, vol. 65(4), pages 878-896, August.
    17. 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.
    18. 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.
    19. Bichler, Martin & Goeree, Jacob K., 2017. "Frontiers in spectrum auction design," International Journal of Industrial Organization, Elsevier, vol. 50(C), pages 372-391.
    20. 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.
    21. Holzer, Jorge & McConnell, Kenneth, 2023. "Extraction rights allocation with liquidity constraints," Resource and Energy Economics, Elsevier, vol. 71(C).
    22. Minchuk, Yizhaq & Sela, Aner, 2018. "Prebidding first-price auctions with and without head starts," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 51-55.
    23. Hummel, Patrick, 2017. "Endogenous budget constraints," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 11-15.
    24. Ghosh, Gagan, 2021. "Simultaneous auctions with budgets: Equilibrium existence and characterization," Games and Economic Behavior, Elsevier, vol. 126(C), pages 75-93.

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    More about this item

    Keywords

    Multiple-Object Auctions; Budget Constraints; Complementarities.;
    All these keywords.

    JEL classification:

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

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