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Existence of Monotone Equilibria in First-Price Auctions with Resale

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Abstract

Existence of a monotone pure-strategy perfect Bayesian equilibrium is proved for a multistage game of first-price auctions with interbidder resale, with any finite number of ex ante different bidders. Endogenous gains at resale complicate the winner’s curse and upset previous fixed-point methods to prove existence of monotone equilibria. This paper restructures the fixed-point approach with respect to comparative statics of the resale mechanisms strategically chosen after the auction. Despite speculation possibilities and the discontinuity-inducing uniform tie-breaking rule, at our equilibrium any bid that stands a chance to win is strictly increasing in the bidder’s use value.

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  • Charles Z. Zheng, 2014. "Existence of Monotone Equilibria in First-Price Auctions with Resale," University of Western Ontario, Economic Policy Research Institute Working Papers 20141, University of Western Ontario, Economic Policy Research Institute.
    • Handle: RePEc:uwo:epuwoc:20141
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    Cited by:

    1. Mensch, Jeffrey, 2020. "On the existence of monotone pure-strategy perfect Bayesian equilibrium in games with complementarities," Journal of Economic Theory, Elsevier, vol. 187(C).
    2. Isa Hafalir & Musab Kurnaz, 2019. "Discriminatory auctions with resale," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 173-189, December.
    3. Virág, Gábor, 2016. "Auctions with resale: Reserve prices and revenues," Games and Economic Behavior, Elsevier, vol. 99(C), pages 239-249.

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