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Suppose you and one other bidder are competing in a private-value auction. Let vand b denote your valuation and bid, respectively, and let and A [9 denote the valuation and bid of your opponent. The payoff is vb if it is the case that A b 2 b . Your payoff is 0 otherwise. Although you do not observe 1'2 , you know that 1'2 is uniformly distributed over the interval between 0 and 1. You also know that your opponent bids according to the function A A A2 b(v) = v . Suppose that your value is 3/5. a) What is the optimal bidding strategy if the auction is first-price sealed-bid? b) What is the optimal bidding strategy if the auction is second-price sealedbid