Continuous mean demand functions derived from non-convex preferences
نویسندگان
چکیده
منابع مشابه
Continuous Mean Demai\jd Functions Derived from Non-convex Preferences*
In this paper we show that for a largsubset of utility functions in the space of all C’ urihty functions and for all prices the mean demand of those consumers whose taste is represented by a given utility function in that subset is uniquely determined. This implies that for a large set of economies mean demand is a continuous function. Our analysis uses derivatives of first and of higher order....
متن کاملPrice-dispersed Preferences and C’ Mean Demand
The purpose of this article is to present a class of consumption sectors which exhibit a continuously differentiable mean demand although individual preferences are not assumed to be convex. As we have argued in an earlier paper [Dierker et al. (1980b, introduction)], several economic questions require mean demand to be a continuously differentiable function and not only to be a continuous one....
متن کاملConstructing Generalized Mean Functions Using Convex Functions with Regularity Conditions
The generalized mean function has been widely used in convex analysis and mathematical programming. This paper studies a further generalization of such a function. A necessary and sufficient condition is obtained for the convexity of a generalized function. Additional sufficient conditions that can be easily checked are derived for the purpose of identifying some classes of functions which guar...
متن کاملSocial Welfare Functions When Preferences Are Convex, Strictly Monotonic, and Continuous
The paper shows that if the class of admissible preference orderings i restricted in a manner appropriate for economic and political models, then Arrow's impossibility theorem for social welfare functions continues to be valid. Specifically if the space of alternatives i R n, n > 3, where each dimension represents a different public good and if each person's preferences are restricted to be con...
متن کاملMinimizing Convex Functions by Continuous Descent Methods
We study continuous descent methods for minimizing convex functions, defined on general Banach spaces, which are associated with an appropriate complete metric space of vector fields. We show that there exists an everywhere dense open set in this space of vector fields such that each of its elements generates strongly convergent trajectories.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Economics
سال: 1980
ISSN: 0304-4068
DOI: 10.1016/0304-4068(80)90018-x