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Revenue-capped efficient auctions

Nozomu Muto, Yasuhiro Shirata and Takuro Yamashita

No 18-940, TSE Working Papers from Toulouse School of Economics (TSE)

Abstract: We study an auction that maximizes the expected social surplus under an upperbound constraint on the seller's expected revenue, which we call a revenue cap. Such a constrained-efficient auction may arise, for example, when: (i) the auction designer is "pro-buyer", that is, he maximizes the weighted sum of the buyers' and seller's auction payoffs, where the weight for the buyers is greater than that for the seller; (ii) the auction designer maximizes the (unweighted) total surplus in a multi-unit auction in which the number of units the seller owns is private information; or (iii) multiple sellers compete to attract buyers before the auction. We characterize the mechanisms for constrained-efficient auctions and identify their important properties. First, the seller sets no reserve price and sells the good for sure. Second, with a nontrivial revenue cap, "bunching" is necessary. Finally, with a sufficiently severe revenue cap, the constrained-efficient auction has a bid cap, so that bunching occurs at least "at the top," that is, "no distortion at the top" fails.

Date: 2018-07
New Economics Papers: this item is included in nep-des, nep-gth and nep-mic
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Citations: View citations in EconPapers (1)

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Journal Article: Revenue-Capped Efficient Auctions (2020) Downloads
Working Paper: Revenue-capped efficient auctions (2020)
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