Characterization of spannability of functions
Journal of Mathematical Economics
29 - 40
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Possibility of representation of a value of convexification of function 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 monetary economies with nonconvex preferences (mathematical economics), in the theory of relaxation of variation problems (variational calculus). Apparently, Shapley and Shubik (Econometrica, 1966, 34, 805-827) were first to discuss it.