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Affiliated Common Value Auctions with Differential Information: The Two Bidder Case

Author

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  • Parreiras Sergio O.

    (University of North Carolina, Chapel Hill)

Abstract

I study affiliated, pure common-value auctions with ex-ante asymmetric buyers. For the two-buyer case I characterize and prove uniqueness of the equilibrium of hybrid auctions where the payment is a weighted average of the highest and second-highest bids. A recursive method to explicitly compute the equilibrium is presented. It is shown that any hybrid auction yields at least as much revenue as the first-price auction. In particular, the equilibrium of the second-price auction, obtained in the limit by letting the weight of the highest bid go to zero, revenue-dominates the first-price auction.

Suggested Citation

  • Parreiras Sergio O., 2006. "Affiliated Common Value Auctions with Differential Information: The Two Bidder Case," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-21, December.
    • Handle: RePEc:bpj:bejtec:v:contributions.6:y:2006:i:1:n:12
    DOI: 10.2202/1534-5971.1304
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    Citations

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    Cited by:

    1. Bernard Lebrun, 2008. "First-Price, Second-Price, and English Auctions with Resale," Working Papers 2008_06, York University, Department of Economics.
    2. Bajoori, Elnaz & Vermeulen, Dries, 2019. "Equilibrium selection in interdependent value auctions," Mathematical Social Sciences, Elsevier, vol. 98(C), pages 47-56.
    3. Lu, Jingfeng & Parreiras, Sérgio O., 2017. "Monotone equilibrium of two-bidder all-pay auctions Redux," Games and Economic Behavior, Elsevier, vol. 104(C), pages 78-91.
    4. Fong, Yuk-fai & Garrett, Daniel F., 2010. "Bidding in a possibly common-value auction," Games and Economic Behavior, Elsevier, vol. 70(2), pages 494-501, November.
    5. Harrison Cheng & Guofu Tan, 2010. "Asymmetric common-value auctions with applications to private-value auctions with resale," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 253-290, October.
    6. Liu, Heng, 2014. "Equilibrium selection in common-value second-price auctions," Games and Economic Behavior, Elsevier, vol. 84(C), pages 1-6.
    7. Lorentziadis, Panos L., 2016. "Optimal bidding in auctions from a game theory perspective," European Journal of Operational Research, Elsevier, vol. 248(2), pages 347-371.
    8. Vasilis Syrgkanis & David Kempe & Eva Tardos, 2019. "Information Asymmetries in Common-Value Auctions with Discrete Signals," Management Science, INFORMS, vol. 44(4), pages 1450-1476, November.
    9. David Malueg & Ram Orzach, 2012. "Equilibrium and revenue in a family of common-value first-price auctions with differential information," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 219-254, May.
    10. Abraham, Ittai & Athey, Susan & Babaioff, Moshe & Grubb, Michael D., 2020. "Peaches, lemons, and cookies: Designing auction markets with dispersed information," Games and Economic Behavior, Elsevier, vol. 124(C), pages 454-477.
    11. Daniel Quint, 2010. "Looking smart versus playing dumb in common-value auctions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 44(3), pages 469-490, September.

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