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Consider an auction with one item and three bidders. Each bidder's private valuation is independently drawn from U[4,10]. (a) Find an equilibrium of a second-price

Consider an auction with one item and three bidders. Each bidder's private valuation is independently drawn from U[4,10].

(a) Find an equilibrium of a second-price auction. (b) Provide the formula of the expected payo of a bidder with value v in [4,10]. (c) Find an equilibrium bidding strategy of the rst-price auction using the revenue equivalence theorem.

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