Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleA theorem on open coverings of a simplex and Scarf's core existence theorem through Brouwer's fixed point theorem.AuthorsZhou, LinAbstractThis paper provides simple proofs of a theorem on open coverings of a simplex and Scarf's core existence theorem through Brouwer's fixed point theorem.SubjectsEXISTENCE theorems; FIXED point theory; GAME theory; MATHEMATICAL physics; NONLINEAR operators; OPERATOR theory; FUNCTIONAL analysisPublicationEconomic Theory, 1994, Vol 4, Issue 3, p473ISSN0938-2259Publication typeArticleDOI10.1007/BF01215385