Consider a sealed-bid second price auction with two bidders. The seller has a value 0 for the object. Each bidder has a value drawn from the uniform distribution F(v) : v on [0, 1], i.e., the probability that his value is less than a: is just 3:. a. Given that the highest bidder has a value UH, you know how to calculate the expected value 111, of the lower bidder, conditional on this value being less than "UH. Calculate the expected revenue of the seller. b. Now suppose the seller can also submit a bid 5*", which is his reservation price. If the highest bid is lower than r, then the object is not sold. If the highest bid is greater than 7', then the highest bidder gets the object at a price equal to the larger of the other two bids. For an arbitrary 1\