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The Buy Price in Auctions with Discrete Type Distributions

Yusuke Inami ()
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Yusuke Inami: Graduate School of Economics, Kyoto University

No 657, KIER Working Papers from Kyoto University, Institute of Economic Research

Abstract: This paper considers second-price, sealed-bid auctions with a buy price where bidders' types are discretely distributed. We characterize all equilibria, restricting our attention to equilibria where bidders whose types are less than a buy price bid their own valuations. Budish and Takeyama (2001) analyzed the two-bidder, two-type framework, and showed that if bidders are risk-averse, a seller can obtain a higher expected revenue from the auction with a certain buy price than from the auction without a buy price. We extend their revenue improvement result to the n-bidder, two-type framework. However, in case of three or more types, bidders' risk aversion is not a sufficient condition for the revenue improvement. Our example illustrates that even if bidders are risk-averse, a seller cannot always obtain a higher expected revenue from the auction with a buy price.

Keywords: Auction; Buy price; Risk aversion (search for similar items in EconPapers)
JEL-codes: C72 D44 (search for similar items in EconPapers)
Pages: 19pages
Date: 2008-07
New Economics Papers: this item is included in nep-cta, nep-gth, nep-mic, nep-mkt and nep-upt
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