question archive Consider a two-person, two-good economy (say, apples and bananas) without production

Consider a two-person, two-good economy (say, apples and bananas) without production

Subject:EconomicsPrice: Bought3

Consider a two-person, two-good economy (say, apples and bananas) without production. Both consumers have identical preferences, given by u(a,b)= a0.2 b1-0.2, where a denotes the consumption of apples, and b the consumption of bananas. Person 1 owns 40 bananas and 20 apples, whereas person 2 owns 20 bananas and 40 apples. 

and

 

For this question, refer back to the data from question 3.

Suppose the government of this economy adopts a Rawlsian approach to welfare economics. That is, the social welfare function they adopt is as follows: 

in file below...

Calculate the Socially Optimal allocation for this economy. Can such an allocation be achieved via re-distribution of the endowments?

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