本文首先分析、比较半序、偏好与拟半序三者之间的关系,然后,在比半序、偏好更一般的拟半序意义下提出并论证了随机选择过程中的极大元定理,本文定理将统一和改进若干已知结果。
This paper analyses the relations among semiorder, preference ordering and quasi-semiorder, proposes and proves some maximal element theorems in the process of stochastic choice under more general quasi-semiorder than semiorder and preference ordering. Some known results are unified and generalized here.