Undominated Maximals: General Definition and Characterizations

This paper proposes a general definition of an undominated maximal relation on constraint set. No specific requirement is imposed either the asymmetry objective or set (which might, might not, coincide with ground relation). Several characterizations are formulated that express maximals as some trace associated relation. By means these characterizations, structure entire examined in particular case relations induced by open and closed convex cones—among them, weak strong Pareto dominance—and, semiorders, admit certain types representability. The results last part examination allow construction many examples whose sets completely identifiable elementary way.