Consider an economy with two people who have the utility functions and initial endowments given below: 2x11 + x12 U₂ = x21 + 2x22 U1 = W1 = W2 = a. Solve for a competitive equilibrium. b. Show that MRS person 1 = competitive equilibrium. c. Is the competitive equilibrium allocation Pareto optimal? Why? MRS person 2 doesn't hold at the

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.5P
icon
Related questions
Question

urgent..solve all parts..hand written plz

Consider an economy with two people who have the utility functions
and initial endowments given below:
1 1
u1 = 2x11 + x12
W1
2' 2
1 1
U2 = x21 + 2x22
w2
%3D
2' 2
a. Solve for a competitive equilibrium.
b. Show that MRS person 1
competitive equilibrium.
MRS person 2 doesn't hold at the
c. Is the competitive equilibrium allocation Pareto optimal? Why?
Transcribed Image Text:Consider an economy with two people who have the utility functions and initial endowments given below: 1 1 u1 = 2x11 + x12 W1 2' 2 1 1 U2 = x21 + 2x22 w2 %3D 2' 2 a. Solve for a competitive equilibrium. b. Show that MRS person 1 competitive equilibrium. MRS person 2 doesn't hold at the c. Is the competitive equilibrium allocation Pareto optimal? Why?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Marginal Approach
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage