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 coordinate-continuously representable.
Keywordspreferences Pareto order continuous representations
JEL ClassificationD11 D70
Unable to display preview. Download preview PDF.
- Aizerman, M. and Aleskerov, F. (1995), Theory of Choice, North-Holland, Amsterdam.Google Scholar
- Debreu, G. 1964Continuity properties of paretian utilityInternational Economic Review5285293Google Scholar
- Dugundji, J. 1967TopologyAllyn and Bacon Inc.BostonGoogle Scholar
- Dushnik, B., Miller, W. 1941Partially ordered setsAmerican Journal of Mathematics63600610Google Scholar
- Knoblauch, V. (2005), Continuous lexicographic preferences, Journal of Mathematical Economics, forthcoming.Google Scholar