CHARACTERIZATION OF SPANNABILITY OF FUNCTIONS

Authors
HUSSEINOV F
Citation
F. Husseinov, CHARACTERIZATION OF SPANNABILITY OF FUNCTIONS, Journal of mathematical economics, 28(1), 1997, pp. 29-40
Citations number
5
Categorie Soggetti
Social Sciences, Mathematical Methods",Economics,"Mathematical, Methods, Social Sciences",Mathematics
Journal title
Journal of mathematical economics → ACNP
ISSN journal
03044068
Volume
28
Issue
1
Year of publication
1997
Pages
29 - 40
Database
ISI
SICI code
0304-4068(1997)28:1<29:COSOF>2.0.ZU;2-M
Abstract
Possibility of representation of a value of convexification of functio n at the given point as a convex combination of the values of function (spannability) is studied. Spannability of functions turned out to be important in different fields e.g. in the study of quasi-cores of mon etary economies with nonconvex preferences (mathematical economics), i n the theory of relaxation of variation problems (variational calculus ). Apparently, Shapley and Shubik (Econometrica, 1966, 34, 805-827) we re first to discuss it.