The aim of this paper is to characterize in terms of classical convexity and quasiconvexity of extended real-valued functions those set-valued maps which are K-convex or K-quasiconvex with respect to a convex cone K. In particular, we recover some known characterizations of K-convex and...

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...

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,...