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2743脑筋急转弯中等derivationmedium

Scaled Uniform Values and Win Probability

题目

Three bidders have i.i.d. private values from Uniform(20,80)\mathrm{Uniform}(20,80). In a first-price auction, find the symmetric equilibrium bid of a bidder with value 5656. Also compute that bidder's probability of winning under equilibrium play.

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equilibrium bid

win probability