Abstract
A general notion of Pareto efficiency is introduced and we study the algebraic and topological properties of the set of all efficient points. We also define a notion of weak Pareto efficiency and compare it with the initial one. Then we pass to the study of Pareto efficiency in the case where the sets under consideration are random. We obtain characterizations of the elements of the efficiency set and using the theory of set valued integration we characterize the aggregate efficiency set.
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