Arrow's Theorem for Economic Domains and Edgeworth Hyperboxes
Arrow's Theorem for Economic Domains and Edgeworth Hyperboxes
复制标题
经济域和埃奇沃斯超箱的阿罗定理
DOI：
10.2307/2527205
复制
发表时间：
1995
影响因子：
1.5
通讯作者：
M. Breton
中科院分区：
文献类型：
--
作者：
Georges Bordes;D. E. Campbell;M. Breton
当替代方案集是埃奇沃斯超级盒子并且个人对其消费集具有经典经济偏好时，肯尼思·J·阿罗定理成立。 （不假定自由可处置性。）通过经典的个人偏好，作者指的是满足连续性、严格凸性、严格单调性和自私性的预购。一个次要但值得注意的成就是开发了一种通用技术，将两种商品不可能性定理扩展到一般的 m 商品对应物。版权所有 1995 宾夕法尼亚大学经济系和大阪大学社会经济研究所。
Kenneth J. Arrow's theorem holds when the set of alternatives is an Edgeworth hyperbox and the individuals have classical economic preferences over their consumption sets. (Free disposability is not assumed.) By classical individual preferences the authors mean preorders satisfying continuity, strict convexity, strict monotonicity, and selfishness. A minor, but noteworthy, accomplishment is the development of a general technique for extending two-commodity impossibility theorems to the general m-commodity counterpart. Copyright 1995 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.