A class of scalarizations is studied in order to characterize weakly efficient, efficient and properly efficient points of a non convex vector problem.A parallelism is established between the different solutions of the scalarized problem and the various efficient frontiers.In particular,...

This paper compares dierent centralized collective models for maximizing the utility of a household from the point of view of the single members that compose it. We describe the collective maximization program as a vector optimization problem and analyze the household welfare and Pareto...

This paper concerns explicitly quasiconvex set-valued maps,defined on a nonempty convex subset of a real linear space with values in a partially ordered real linear space, with respect to a solid vectorially closed convex cone. It is shown that these generalized convex set-valued maps can be...