Question
Alice and Bob live together and have tasks to distribute. The lawn has to be mowed 200 times, and the dishes have to be washed
Alice and Bob live together and have tasks to distribute. The lawn has to be mowed 200 times, and the dishes have to be washed 1400 times. Alice believes it is equivalent to wash the dishes 10 times and to mow the lawn once, while Bob believes it is equivalent to wash the dishes once and mow the lawn once.
(a) What is the allocation proposed by Spliddit.org? (5 points)
(b) Explain how it is obtained. In particular, give the egalitarian-equivalent vector of tasks. (15 points)
(c) Intuitively, why are the gains from e ciency larger here (i.e. is smaller) then in the example done in class? (10 points)
Alice should wash dishes 1088 times. Bob should mow the lawn 200 times and wash the dishes 312 times.
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