Question

Consider an exchange economy with persons 1 and 2 and goods x and y. Person 1's utility function is u1(x,y)=x^2*y^2 and person 2's utility function is u2(x,y)=e^(x+y). The total endowment of the economy is (2,1). The allocation (x1,y1)=(1,1) and (x2,y2)=(1,0) is Pareto inefficient Pareto efficient or inefficient depending on the endowments of the two persons Pareto efficient or inefficient depending on the state of the world Pareto efficient

Name: consider an exchange economy with persons 1 and 2 and goods x and y person 1s utility function is u1xyx2y2 and person 2s utility function is u2xyexy the total endowment of the economy is 21 89575
Uploaded: 2023-10-25T17:36:02-08:00
Duration: 3 min 48 s
Channel: Akash M
Description: consider an exchange economy with persons 1 and 2 and goods x and y person 1s utility function is u1xyx2y2 and person 2s utility function is u2xyexy the total endowment of the economy is 21 89575

          Consider an exchange economy with persons 1 and 2 and goods x and y. Person 1's utility function is u1(x,y)=x^2*y^2 and person 2's utility function is u2(x,y)=e^(x+y). The total endowment of the economy is (2,1). The allocation (x1,y1)=(1,1) and (x2,y2)=(1,0) is
Pareto inefficient
Pareto efficient or inefficient depending on the endowments of the two persons
Pareto efficient or inefficient depending on the state of the world
Pareto efficient

consider an exchange economy with persons 1 and 2 and goods x and y person 1s utility function is u1xyx2y2 and person 2s utility function is u2xyexy the total endowment of the economy is 21 89575

Added by Jason A.

Principles of Economics

Gregory Mankiw 8th Edition

Instant Answer

Solved by Expert Akash M

10/25/2023

Step 1

Person 1's utility: u1(1,1) = 1^2 * 1^2 = 1 Person 2's utility: u2(1,1) = e^(1+1) = e^2 ≈ 7.39 Person 1's utility: u1(1,0) = 1^2 * 0^2 = 0 Person 2's utility: u2(1,0) = e^(1+0) = e ≈ 2.72 Show more…

Show all steps

Thanks for your feedback!

Consider an exchange economy with persons 1 and 2 and goods x and y. Person 1's utility function is u1(x,y)=x^2*y^2 and person 2's utility function is u2(x,y)=e^(x+y). The total endowment of the economy is (2,1). The allocation (x1,y1)=(1,1) and (x2,y2)=(1,0) is Pareto inefficient Pareto efficient or inefficient depending on the endowments of the two persons Pareto efficient or inefficient depending on the state of the world Pareto efficient