In this paper, we prove the Hyers-Ulam-Rassias stability of the following generalized quadratic functional equation of Euler-Lagrange type n
The buy price in auctions with discrete type distributions
β Scribed by Yusuke Inami
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 343 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0165-4896
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper considers second-price, sealed-bid auctions with a buy price where bidders' types are discretely distributed. We characterize all equilibria in which bidders whose types are less than the buy price bid their own valuations. Budish and Takeyama ( 2001) analyze the two-bidder, two-type framework. They show that if bidders are risk-averse, then the 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. In case of three or more types, however, bidders' risk aversion is not a sufficient condition for a revenue improvement. We point out that even if bidders are risk-averse, the seller cannot always obtain a higher expected revenue from the auctions with a buy price.
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