确定与不确定偏好理论的同一性

The Equality of Certainty and Uncertainty

消费者行为理论通常被分为确定性(选择)理论与不确定性理论.在中、高级经济学中,确定性理论的选择集(消费集)往往是欧氏空间的子集,故有原始结构;而不确定性理论中的选择集却没有界定原始的拓扑和序结构,由此造成两种理论在形式上的分离.在对不确定性理论数学表述进行梳理的基础上,分两种情况—选择集有原始结构和无原始结构———讨论确定性理论与不确定性理论的内在联系,证明两种理论在事实上(即从逻辑和数学角度看)是同一理论.

Consumer's behavior theory usually consists of certainty theory and uncertainty theory.In textbooks of various kinds,the choice set of certainty has elementary construction as a subset of Euclidian norm,and the choice set of uncertainty is without defined topology and order, which leads to the formal differences. This paper, on the basis of reparation of expression of uncertainty, discusses the connection of certainty and uncertainty in two sides:there are a topology and non-topology in the choice set, then gives a proof of equality between them.