An Axiomatization of the Walras Correspondence in Infinite Dimensional Spaces
将瓦尔拉斯对应的公理化结果推广到商品空间为有序局部凸拓扑向量空间中正锥的广义纯交换经济,用一致性、反向一致性及弱帕累托最优和非空性完全刻画了该对应。
This paper presents a generalization of earlier results on the axiomatization of the Walras correspondence to generalized (pure exchange) economies, where the commodity space is the positive cone in an ordered locally convex topological vector space. The authors' main result characterizes the Walras correspondence completely over an 'acceptable' class of economies in terms of consistency, converse consistency, and weak versions of Pareto optimality and nonemptiness. Important examples of economies that are 'acceptable' are given in detail. Copyright 1997 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.