标题： 概率和期望效用理论中的形式幂级数表示 显示英文标题

标题： Formal Power Series Representations in Probability and Expected Utility Theory

摘要： 我们提出了一种关于一致偏好的一般理论，该理论放弃了正统学说中所包含的限制。 该理论具有这样的性质，只要满足某种类似于 de Finetti 为概率基础所提出的协调性要求，任何偏好系统都可以扩展为一个完整的偏好系统。 与 de Finetti 的理论不同，我们提出的理论不需要偏好具有传递性、阿基米德性、有界性或连续性。 该理论还具有这样的性质，任何符合协调性标准的完整偏好系统都可以通过有序域扩展中的效用进行表示。 通过效用进行表示是本文中心结果的一个推论，该结果同时扩展了 Hölder 定理并加强了 Hahn 嵌入定理。 显示英文摘要

摘要： We advance a general theory of coherent preference that surrenders restrictions embodied in orthodox doctrine. This theory enjoys the property that any preference system admits extension to a complete system of preferences, provided it satisfies a certain coherence requirement analogous to the one de Finetti advanced for his foundations of probability. Unlike de Finetti's theory, the one we set forth requires neither transitivity nor Archimedeanness nor boundedness nor continuity of preference. This theory also enjoys the property that any complete preference system meeting the standard of coherence can be represented by utility in an ordered field extension of the reals. Representability by utility is a corollary of this paper's central result, which at once extends H\"older's Theorem and strengthens Hahn's Embedding Theorem.