The preferences of agents A and B are representable by expected utility   functions such that uA(x) = 5x^1/3 +30, and uB(x)= 1/5x - 20. Then, the   following allocation of the expected returns of a risky joint investment of A and   B as represented by lottery L = ((2/3);1500), (1/3);120)) is Pareto efficient:   (a) xA = (500,100), xB = (1000,20)   (b) xA = (100,100), xB= (1300,20)   (c) xA= (80,80), xB = (1420,40)   (d) xA = (750,60), xB= (750,60)   (e) NOPAC

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter18: Asymmetric Information
Section: Chapter Questions
Problem 18.8P
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4.

The preferences of agents A and B are representable by expected utility

 

functions such that uA(x) = 5x^1/3 +30, and uB(x)= 1/5x - 20. Then, the

 

following allocation of the expected returns of a risky joint investment of A and

 

B as represented by lottery L = ((2/3);1500), (1/3);120)) is Pareto efficient:

 

(a) xA = (500,100), xB = (1000,20)

 

(b) xA = (100,100), xB= (1300,20)

 

(c) xA= (80,80), xB = (1420,40)

 

(d) xA = (750,60), xB= (750,60)

 

(e) NOPAC

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