5. (b) Consider the two-person, two goods economy given by: W₁ = (1/2, 1/2) U₁ = 2X11 + X12, U2=X21 + 2X22, W₂ = (1/2, 1/2) (i) Solve for a competitive equilibrium (ii) Show that the MRS of person 1 = MRS of person 2 does not hold at competitive equilibrium. (iii) Is competitive equilibrium Pareto Optimal? Why?
5. (b) Consider the two-person, two goods economy given by: W₁ = (1/2, 1/2) U₁ = 2X11 + X12, U2=X21 + 2X22, W₂ = (1/2, 1/2) (i) Solve for a competitive equilibrium (ii) Show that the MRS of person 1 = MRS of person 2 does not hold at competitive equilibrium. (iii) Is competitive equilibrium Pareto Optimal? Why?
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.1P
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![5. (b) Consider the two-person, two goods economy given by:
W₁ = (1/2, 1/2)
U₁= 2X11 + X12,
U2=X21 + 2X22,
W₂ = (1/2, 1/2)
(i)
Solve for a competitive equilibrium
(ii)
Show that the MRS of person 1 = MRS of person 2 does not hold
at competitive equilibrium.
(iii)
Is competitive equilibrium Pareto Optimal? Why?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6274a625-9a74-4008-b392-f1961eea52c4%2F9ce53fab-0fb4-47b9-838a-8a520b381307%2Fdkowj1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. (b) Consider the two-person, two goods economy given by:
W₁ = (1/2, 1/2)
U₁= 2X11 + X12,
U2=X21 + 2X22,
W₂ = (1/2, 1/2)
(i)
Solve for a competitive equilibrium
(ii)
Show that the MRS of person 1 = MRS of person 2 does not hold
at competitive equilibrium.
(iii)
Is competitive equilibrium Pareto Optimal? Why?
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