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(Single-Peaked Preferences II) Suppose we want to divide one pie and give some fraction of it to A and some fraction of it to B.
(Single-Peaked Preferences II) Suppose we want to divide one pie and give some fraction of it to A and some fraction of it to B. Ideally A would like to get a fraction of pie equal to fA, and her utility decreases the further away the fraction is from this ideal. Think for example as A having a utility equal to uA(fA)=fAfA. B has exactly the same kind of preferences: uB(fB)=fBfB. Discus what is the set of Pareto efficient divisions as a function of the values fA and fB that can be any number between 0 and 1 . Note: it is not strictly necessary that they consume the whole pie. (Single-Peaked Preferences II) Suppose we want to divide one pie and give some fraction of it to A and some fraction of it to B. Ideally A would like to get a fraction of pie equal to fA, and her utility decreases the further away the fraction is from this ideal. Think for example as A having a utility equal to uA(fA)=fAfA. B has exactly the same kind of preferences: uB(fB)=fBfB. Discus what is the set of Pareto efficient divisions as a function of the values fA and fB that can be any number between 0 and 1 . Note: it is not strictly necessary that they consume the whole pie
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