The Unimportance of the Intransitivity of Separable Preferences
证明,如果偏好对商品分组是强可分离的,那么非传递性偏好产生的需求函数也能由传递性偏好生成,因此非传递性无法从需求行为中检测到,并讨论了在不确定性下的预期遗憾模型和资本理论中的大道定理中的应用。
If preferences are strongly separable in the pointwise partition of goods, then demand functions implied by an intransitive preference ordering can also be generated by a transitive (and strongly separable) ordering. Thus, if strong separability is appropriate, intransitivity is not empirically detectable from demand behavior. Two applications are discussed-the expected-regret model of choice under uncertainty and the robustness of turnpike propositions of capital theory. Copyright 1987 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.