Under what conditions are lexicographically representable preferences continuously representable? This question is actually two questions, since there are two natural definitions of continuity for lexicographic representations. A complete answer is given for one of these questions, and the other...

Two forms of continuity are defined for Pareto representations of preferences. They are designated continuity and coordinate continuity. Characterizations are given of those Pareto representable preferences that are continuously representable and, in dimension two, of those that are...

Two forms of continuity are defined for Pareto representations of preferences. They are designated “continuityâ€\x9D and “coordinate continuity.â€\x9D Characterizations are given of those Pareto representable preferences that are continuously representable and, in dimension...