Problem
Consider the following first-price, sealed-bid, common value auction. There are n bidders. Each bidder's signal (xi for bidder i) regarding the object value follows uniform distribution U[0,2]. These signals are distributed independently. Suppose that the common value of the object V = x1 + x2 + • • • + xn. There is no reserve price. Find the symmetric Bayesian equilibrium bidding function bi = B(xi) in this auction.