A Class of Utility Functions Containing all the Common Utility Functions
提出一类导数符号交替的效用函数（A∞类），它囊括了所有常用效用函数，并通过指数效用混合给出简便表示，便于数学运算，还讨论了与拉普拉斯变换的联系及其对偏好、加总和效用评估的意义。
This paper presents a class of utility functions (class A ∞ ) that contains all of the utility functions commonly used for mathematical modeling: the class consisting of those utility functions whose derivatives alternate in sign. A simple representation via mixtures of exponential utilities is provided for this class which is both mathematically convenient and conducive to functional operations. A connection with Laplace transforms and the resultant implications for preference relations, aggregation and utility assessment are discussed.