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Consider the following all-pay, sealed-bid, private value auction. There are n bidders. Each bidder's valuation (vi for bidder i) for the object is distributed independently

Consider the following all-pay, sealed-bid, private value auction. There are n bidders. Each bidder's valuation (vi for bidder i) for the object is distributed independently and identically according to c.d.f. F(vi) and p.d.f. f(vi), where vi [v, v]. There is no reserve price. Find the symmetric Bayesian equilibrium bidding function bi = B(vi) in this auction

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