Consider an exchange economy with two goods (x and y) and two agents (a and b). Agent a has preferences represented by u_a(x_a, y_a) = x_ay_a and endowment (_x^a , _y^a ) = (2, 3). Agent b has preferences represented by u_b(x_b, y_b) = min{x_b, 2y_b} and endowment (_x^b , _y^b) = (6, 1).

(a) Compute and draw the contract curve, the core, and all Walrasian equilibria.

(b) Repeat part (a), but where agent a has preferences represented by max{x_a, 2y_a}.