Abstract
The preference of a concave nontransitive consumer is represented by a skew-symmetric and concave-convex bifunction on the set of all commodity bundles. This paper characterizes finite sets of demand observations that are consistent with the demand behavior of such kind of consumer by a generalized monotonicity property.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Afriat, S.N. (1967), The Construction of Utility Functions from Expenditure Data, International Economic Review 8, 67–77.
Berge, C. (1997), Topological Spaces, Dover, New York.
Blum, E. and Oettli, W. (1994), From Optimization and Variational Inequalities to Equilibrium Problems, The Mathematics Student 63, 123–145.
Daniilidis, A. and Hadjisavvas, N. (1999), On the Subdifferentials of Quasiconvex and Pseudoconvex Functions and Cyclic Monotonicity, J. of Mathematical Analysis and Applications 237, 30–42.
von Neumann, J. (1928), Zur Theorie der Gesellschaftsspiele, Mathematische Annalen 100, 295–320.
Nikaido, H. (1968), Convex Structures and Economic Theory, Academic Press, New York.
Shafer, W.J. (1974), The Nontransitive Consumer, Econometrica 42, 913–919.
Varian, H.R. (1982), The Nonparametric Approach to Demand Analysis, Econometrica 50, 945–973.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
John, R. The Concave Nontransitive Consumer. Journal of Global Optimization 20, 297–308 (2001). https://doi.org/10.1023/A:1017530926041
Issue Date:
DOI: https://doi.org/10.1023/A:1017530926041