Abstract
In this second part of our work on Pareto efficiency we study the stability of the set of efficient points under perturbations of the data. For that purpose we use a general notion of convergence of sets which is known as the Kuratowski-Mosco convergence. We also determine the properties of EffK(S) as a function of the set S and of the dominance cone K. Finally our work is extended to stochastic Pareto efficiency and we derive several stability results, we determine the measurability of the efficiency multifunction and we obtain a new characterization of the efficient points of the aggregate set.
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