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.
Publication Name: The Journal of Mathematical Economics
Subject: Mathematics
ISSN: 0304-4068
Year: 1997
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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.
Publication Name: The Journal of Mathematical Economics
Subject: Mathematics
ISSN: 0304-4068
Year: 1999
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