2. Consider a variant of the independent private values sealed-bid auctions consid- ered in class in which the players are risk-averse. Specically, assume that the payoff of a player with valuation '0 who wins the object and pays the price p is (1) 120$1 where m > 1. Suppose that there are two players and each player's valuation is drawn independently from a uniform distribution on [0, 1] (as we as- sumed in class). Find an equilibrium of the rst-price auction. (Hint: as in class, assume that both players bid some fraction 6 of their valuation.)