Proper preferences and quasi-concave utility functions

22Citations
Citations of this article
2Readers
Mendeley users who have this article in their library.
Get full text

Abstract

It is shown that preferences which are continuous, convex and uniformly proper [Mas-Colell (1983)] on the positive cone of a Banach lattice can be represented by a quasi-concave utility function which is defined on a larger domain with non-empty interior. This utility function may be chosen to be either upper or lower semi-continuous on its domain, and continuous at each point of the positive cone. Conversely, any preference relation on the positive cone which is monotone and arises from such a utility function is shown to satisfy a condition which is slightly weaker than uniform properness but which (in the presence of appropriate compactness assumptions) is sufficient to establish the existence of quasi-equilibria. An example is presented to illuminate the role played by the uniformity requirement. © 1986.

Cite

CITATION STYLE

APA

Richard, S. F., & Zame, W. R. (1986). Proper preferences and quasi-concave utility functions. Journal of Mathematical Economics, 15(3), 231–247. https://doi.org/10.1016/0304-4068(86)90012-1

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free