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Characterization of spannability of functions

Article Abstract:

The study delves into the possibility of representation of a value of convexification of function at a given point as a convex combination of the values of function. The study also underscores the value of spannability in the study of quasi-cores of monetary economies with nonconvex preferences, as well as in the theory of relaxation of variation problems.

Author: Husseinov, Farhad
Publisher: Elsevier B.V.
Publication Name: The Journal of Mathematical Economics
Subject: Mathematics
ISSN: 0304-4068
Year: 1997
Econometrics, Convex functions, Functions of complex variables, Complex variables

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Characterization of the existence of semicontinuous weak utilities

Article Abstract:

Semicontinuous weak utilities and numerical weak utilities are studied using acyclic binary relations in a topological space. Necessary and sufficient conditions are deduced for the existence of semicontinuous weak utilities.

Author: Alcantud, J.C.R., Rodriguez-Palmero, C.
Publisher: Elsevier B.V.
Publication Name: The Journal of Mathematical Economics
Subject: Mathematics
ISSN: 0304-4068
Year: 1999
Spain, Research, Topology, Utility theory, Utility functions, Binary system (Mathematics)

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Subjects list: Analysis, Economics
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