Let us consider a 2x2 pure exchange economy, with a total endowment of 1 unit of each good. 1/2, 1/2 Agent A's utility function is XA¹/²¹/² and agent B has a utility function given by XB. Select the true statement(s). Select one or more: a. Agent B would receive a greater quantity of x in the Utilitarian SWF maximum than in the Cobb-Douglas maximum.

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Let us consider a 2x2 pure exchange economy, with a total endowment of 1 unit of
each good.
Agent A's utility function is XA¹/²YA¹/² and agent B has a utility function given by
XB. Select the true statement(s).
Select one or more:
a. Agent B would receive a greater quantity of x in the Utilitarian SWF
maximum than in the Cobb-Douglas maximum.
b. If the initial endowment is
(w, w, wp, wh ) = (0.75, 0.75, 0.25, 0.25), the Walrasian
equilibrium price ratio (py/px) will be 3/5.
c. It is possible to achieve any point on the contract curve as a Walrasian
equilibrium with positive prices for both goods.
d. The UPF is linear.
Transcribed Image Text:Let us consider a 2x2 pure exchange economy, with a total endowment of 1 unit of each good. Agent A's utility function is XA¹/²YA¹/² and agent B has a utility function given by XB. Select the true statement(s). Select one or more: a. Agent B would receive a greater quantity of x in the Utilitarian SWF maximum than in the Cobb-Douglas maximum. b. If the initial endowment is (w, w, wp, wh ) = (0.75, 0.75, 0.25, 0.25), the Walrasian equilibrium price ratio (py/px) will be 3/5. c. It is possible to achieve any point on the contract curve as a Walrasian equilibrium with positive prices for both goods. d. The UPF is linear.
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