Consumers with nonordered preferences

  • Pedro Uribe Universidad de Guadalajara
Keywords: nonordered preferences, consumer, outer gauge


Theoretical research on consumer demand with nonordered and not necessarily convex preferences has been centered in the study of the equilibrium. This paper looks back at consumer as such, trying to reach substantive propositions, eventually refutable by empirical evidence. This paper explores the use of the outer gauge of preference sets, a “distance function”, with considerable success in the analysis of convex multiproduct technologies. In this paper, the gauge function is used to obtain comparative statistics equations based on the optimization of nonordered preference.


Aliprantis, C. D., y O. Burkinshaw (1988). “The Fundamental Theorems of Welfare Economics without Proper Preferences”, Journal of Mathematical Economics, 17, pp. 41-54.

Arrow, K. J., y F. H. Hahn (1971). General Competitive Analysis, San Francisco, Holden Day.

Avriel, M., et al (1988). Generalized Concavity, Nueva York, Plenum Press.

Barten, A. P. (1964). “Consumer Demand Equations under Conditions of Almost Additive Preferences”, Econometrica, 32, pp. 1-38.

Bergstrom, T. C. (1975). “Maximal Elements of Acyclic Relations on Compact Sets”, Journal of Economic Theory, 10, pp. 403-404.

Border, K. (1984). “A Core Existence Theorem for Games without Ordered Preferences”, Econometrica, 52, pp. 1537-1542.

Clarke, F. H. (1983). Optimization and Nonsmooth Analysis, Nueva York, Wiley & Sons.

Cornet, B. (1991). “Marginal Cost Pricing and Pareto Optimality”, en P. Champsaur (comp.), Essays in Honor of Édmond Malinvaud, North Holland, Amsterdam, pp. 13-52.

Débreu, G. (1959). Theory of Value, Cowles Foundation for Research in Economics, Monografía, núm. 17, Wiley & Sons, Nueva York.

Florenzano, M. (1981). L Équilibre Économique Général, Transitif e Intransitif, París, Centre National de la Recherche Scientifique.

Ichiishi, T. (1982). Game Theory for Economic Analysis, Academic Press, Nueva York.

Jouini, E. (1988). “A Remark on Clarke´s Normal Cone and the Marginal Cost Pricing Rule”, Journal of Mathematical Economics, 17, pp. 149-178.

Kahneman, D., y A. Tversky (1984). “Choice, Values and Frames”, American Psychologist, 39, pp. 341-350.

Klein, E., y A. C. Thompson (1984). Theory of Correspondeces, Wiley & Sons, Nueva York.

Loomes, G. C. y R. Sugden (1982). “Regret Theory: An Alternative Theory of Rational Choice under Uncertainty”, Economic Journal, 92, pp. 805-824.

Mas-Colell, A., M. D. Whinston y J. Green (1995). Microeconomic Theory, Oxford University Press, Nueva York.

Mc Fadden, D. (1978). “Cost, Revenue and Profit Functions”, en M. Fuss y D. Mc Fadden (comps.), Production Economics: A Dual Approach to Theory and Applications, vol. I, North Holland, Amsterdam.

Nikaidô, H. (1970). Introduction to Sets and Mappings in Modern Economics, North Holland, Amsterdam.

Rader, T. (1972). Theory of Microeconomics, Academic Press, Londres.

Rockfellar, R. T. (1970). Convex Analysis, Princeton University Press, Princeton.

Schmeidler, D. (1971). “A Condition for the Completeness of a Partial Preference Relation”, Econometrica, 39, pp. 403-404.

Shafer, W. (1974). “The Non-transitive Consumer”, Econometrica, 42, pp. 913-919.

Shephard, R. W. (1970). Theory of Cost and Production Functions, Princeton University Press, Princeton.

Starr, R. M. (1969). “Quasi-equilibria in Markets with Nonconvex Preferences”, Econometrica, 37, pp. 25-38.

Theil, H. (1965). “The Information Approach to Demand Analysis”, Econometrica, pp. 67-87.

Werner, J. (1989). “Equilibrium with Incomplete Markets without Ordered Preferences”, Journal of Economic Theory, pp. 379-382.

Yannelis, N. C. y N. D. Prabhakar (1983). “Existence of Maximal Elements and Equilibria in Linear Topological Spaces”, Journal of Mathematical Economics, pp. 233-245.

How to Cite
UribeP. (1998). Consumers with nonordered preferences. Estudios Económicos, 13(2), 101-122.
  • Abstract viewed - 369 times
  • PDF (Spanish) downloaded: 104 times