On the Tendency Toward Convexity of the Vector Sum of Sets
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abstract
There are several instances (e.g., [2, p. 255], [3, p. 255]) in the general equilibrium theory of economics where one is interested in the following question: Given sets {X i } i=1n in a vector space V, how close is the vector sum (Formula presented.) to being convex?. Springer Science+Business Media, LLC 2012.