标题： 对Gale-Nikaido-Kuhn-Debreu市场均衡定理的进一步推广 显示英文标题

标题： A Further Generalization of the Gale-Nikaido-Kuhn-Debreu Market Equilibrium Theorem

摘要： 我们通过扩大其结果的适用性，扩展了Yannelis[25]和Cornet等人[7]对Gale、Nikaido、Kuhn和Debreu的经典结果（“GNKD定理”）关于市场均衡存在性的重大推广，这些结果仅适用于可由局部凸Hausdorff空间建模的商品空间的经济，扩展到更广泛的经济类别，这些经济的商品空间可以用任何Hausdorff拓扑向量空间描述，并且其代数对偶可以分离点。 显示英文摘要

摘要： We extend the important generalizations by Yannelis [25] and Cornet et al [7] of the classical result of Gale, Nikaido, Kuhn and Debreu (the "GNKD theorem") regarding existence of market equilibrium, by broadening the applicability of their results, which apply only to economies with commodity space that can be modeled by a locally convex Hausdorff space, to the wider class of economies with commodity spaces describable by any Hausdorff topological vector space with algebraic dual that separates points.