The Buy Price in Auctions with Discrete Type Distributions
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.
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- Matthews, Steven, 1987.
"Comparing Auctions for Risk Averse Buyers: A Buyer's Point of View,"
Econometric Society, vol. 55(3), pages 633-46, May.
- Steven A. Matthews, 1985. "Comparing Auctions for Risk Averse Buyers: A Buyer's Pointof View," Discussion Papers 664R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Maskin, Eric S & Riley, John G, 1984.
"Optimal Auctions with Risk Averse Buyers,"
Econometric Society, vol. 52(6), pages 1473-1518, November.
- Hidvegi, Zoltan & Wang, Wenli & Whinston, Andrew B., 2006. "Buy-price English auction," Journal of Economic Theory, Elsevier, vol. 129(1), pages 31-56, July.
- Budish, Eric B. & Takeyama, Lisa N., 2001. "Buy prices in online auctions: irrationality on the internet?," Economics Letters, Elsevier, vol. 72(3), pages 325-333, September.
- Timothy Mathews & Brett Katzman, 2006. "The role of varying risk attitudes in an auction with a buyout option," Economic Theory, Springer, vol. 27(3), pages 597-613, 04.
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