c) (2 points) In this game, which side has the advantage, the one who makes or receives the offer? 2. (48 points) Two consumers, two goods Consider an exchange economy with two consumers, A and B, and two goods, 1 and 2. . Consumer A's initial endowment is WA = (wh, wa) = (6,9) and consumer B's endowment is WB = (WB. WB) = (6, 3). . Consumer A's consumption is TA = (T'A, TA) and consumer B's consumption is TB = (UB, TB). . Prices are p1, P2. They will be determined endogenously. Both consumers take prices as given. . Consumer A's utility is uA (TA,TA) = (xA) rA. Consumer B's utility is up (13, "() = a) (4 points) Write conditions on feasable allocations of T'A, T and T'A, TB given the initial endowments. (Assume consumers consume all available resources. b) (4 points) Draw an Edgeworth box representing the total resources available to both consumers and the initial endowment (note it w). Make it sufficiently large as many other things will be drawn. And of course Always label your axes c) (6 points) Find the contract curve: all the Pareto-optimal allocations. Use the condi- tions on feasable allocations computed in a) to substitute TB, TB and express the curve as r's as function of TA. Draw it on your graph. To make sure it is drawn accurately, compute r2 on the curve at TA = 0,TA = 4, TA = TA, TA = 8,24 = 12. d) (6 points) Find consumer A's demands as function of his initial endowment and the prices: TA (P1, P2, WA, WA), D'A (PI, P2, WA, WA). Substitute the numerical values of the initial endowment WA, WA. e) (6 points) What are consumer A's demands (TA, TX) if the relative prices are PL = 1, 21 = 2, 21 = 3? Use them to represent on your graph consumer A's price-offer curve. f) (4 points) Find the formula for consumer A's price-offer curve. Remember, it will be an equation of T'A as function of T'A (and the parameters). (Hint: use 2 to substitute TA in the demand for T'A.) g) (4 points) The market equilibrium can be found at the intersection of A's price offer curve and the contract curve. Use your answers in c) and f) to find the market equilibrium (xX, TX). Note it X* on your graph. h) (4 points) What is the slope of A's budget constraint passing through the market equilibrium? Draw the budget constraint on your graph. i) (6 points) Find consumer B's demands ' (P1, pz, W;. Wg), Eh (P1, P2, Wh, Wg) and draw his price offer curve as well. j) (4 points) Draw (approximate) indifference curves of A and B passing through the market equilibrium