Two players are to divide $2,000 between them. The utility function of the first player is u1(x) = x. The utility function of the second player is u2(x) = √x. For each of the following two situations, describe the bargaining game derived from the situation, in utility units, and find its Nash solution.
(a) If the two players cannot come to an agreement, neither of them receives any payoff.
(b) If the two players cannot come to an agreement, the first one receives $16, and the second receives $49 (note that in this case the disagreement point in the utility space is (16, 7)).