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A near Pareto optimal auction with budget constraints

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  • Hafalir, Isa E.
  • Ravi, R.
  • Sayedi, Amin
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    Abstract

    In a setup where a divisible good is to be allocated to a set of bidders with budget constraints, we introduce a mechanism in the spirit of the Vickrey auction. In the mechanism we propose, understating budgets or values is weakly dominated. Since the revenue is increasing in budgets and values, all kinds of equilibrium deviations from true valuations turn out to be beneficial to the auctioneer. We also show that ex-post Nash equilibrium of our mechanism is near Pareto optimal in the sense that all full winnersʼ values are above all full losersʼ values.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0899825611001291
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    Bibliographic Info

    Article provided by Elsevier in its journal Games and Economic Behavior.

    Volume (Year): 74 (2012)
    Issue (Month): 2 ()
    Pages: 699-708

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    Handle: RePEc:eee:gamebe:v:74:y:2012:i:2:p:699-708

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    Web page: http://www.elsevier.com/locate/inca/622836

    Related research

    Keywords: Vickrey auctions; Budget constraints;

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    References

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    1. Maskin, Eric S., 2000. "Auctions, development, and privatization: Efficient auctions with liquidity-constrained buyers," European Economic Review, Elsevier, vol. 44(4-6), pages 667-681, May.
    2. Gavious, Arieh & Moldovanu, Benny & Sela, Aner, 2000. "Bid Costs and Endogenous Bid Caps," Sonderforschungsbereich 504 Publications 01-19, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
    3. Laffont, Jean-Jacques & Robert, Jacques, 1996. "Optimal auction with financially constrained buyers," Economics Letters, Elsevier, vol. 52(2), pages 181-186, August.
    4. Alexey Malakhov & Rakesh Vohra, 2008. "Optimal auctions for asymmetrically budget constrained bidders," Review of Economic Design, Springer, vol. 12(4), pages 245-257, December.
    5. Benjamin Edelman & Michael Ostrovsky & Michael Schwarz, 2007. "Internet Advertising and the Generalized Second-Price Auction: Selling Billions of Dollars Worth of Keywords," American Economic Review, American Economic Association, vol. 97(1), pages 242-259, March.
    6. Benoit, Jean-Pierre & Krishna, Vijay, 2001. "Multiple-Object Auctions with Budget Constrained Bidders," Review of Economic Studies, Wiley Blackwell, vol. 68(1), pages 155-79, January.
    7. Ashlagi Itai & Braverman Mark & Hassidim Avinatan & Lavi Ron & Tennenholtz Moshe, 2010. "Position Auctions with Budgets: Existence and Uniqueness," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-32, May.
    8. Lawrence M. Ausubel, 2004. "An Efficient Ascending-Bid Auction for Multiple Objects," American Economic Review, American Economic Association, vol. 94(5), pages 1452-1475, December.
    9. Dobzinski, Shahar & Lavi, Ron & Nisan, Noam, 2012. "Multi-unit auctions with budget limits," Games and Economic Behavior, Elsevier, vol. 74(2), pages 486-503.
    10. Che, Yeon-Koo & Gale, Ian, 1998. "Standard Auctions with Financially Constrained Bidders," Review of Economic Studies, Wiley Blackwell, vol. 65(1), pages 1-21, January.
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    Cited by:
    1. M. Yenmez, 2014. "Pricing in position auctions and online advertising," Economic Theory, Springer, vol. 55(1), pages 243-256, January.
    2. Che, Yeon-Koo & Gale, Ian & Kim, Jinwoo, 2013. "Efficient assignment mechanisms for liquidity-constrained agents," International Journal of Industrial Organization, Elsevier, vol. 31(5), pages 659-665.

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