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Recall the split dollar example discussed in class, in that example there are tw

ID: 1248595 • Letter: R

Question

Recall the split dollar example discussed in class, in that example there are two individuals (A and B) and the set of possible allocation is

X= {(xA,xB) : xA >0, xB>0, xA+xB<100}

i) Is a (60,30) split (A gets 60, B gets 30) Pareto optimal?
ii) Is a (20,80) split Pareto optimal?
iii) Does (20,80) Pareto-dominate (60,30)?

Assume now that the dollar must be split among 3 people A, B and C.

Y= {(xA,xB,xC) : xA >0, xB>0, xC>0, xA+xB+xC<100}

An example of Pareto optimal allocation is now (20,30,50).

iv) Give 2 other examples of Pareto optimal allocations in this three person divide the dollar game.

v) Give an example of 2 allocations in set Y(i.e., a three way split of the dollar) such that the first Pareto dominates the second.

Explanation / Answer

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