Two players participate in a first-price sealedbid auction in an IPV setting. The value of the good for each player is given by 0.5+ i , where i is observed only by player i and is uniformly distributed over the interval [0, 1]. a. Show that there is a symmetric Bayesian Nash equilibrium in which each bidder i's bidding strategy is of the form si (i) = a + bi . b. What is the expected payoff of a player if his type is i?