Expected utility theory from the frequentist perspective
Expected utility theory from the frequentist perspective
复制标题
频率论视角下的预期效用理论
DOI：
10.1007/s00199-009-0482-9
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发表时间：
2013
期刊：
影响因子：
1.3
通讯作者：
Tai
中科院分区：
文献类型：
--
作者：
Tai
我们从频率论的角度提出了期望效用的公理化。它从有限相对频率的无穷序列集合上的偏好关系开始。我们考虑三个公理平行的冯诺依曼-摩根斯坦（VN-M）的期望效用理论。极限相对频率对应于vN-M理论中彩票中的概率值。这种对应关系用来表明，我们的每一个公理都等价于相应的vN-M公理，因为前者是后者的精确翻译。结果，建立了一个表示定理：偏好关系由相对频率给出权重的效用的平均值表示。
We present an axiomatization of expected utility from the frequentist perspective. It starts with a preference relation on the set of infinite sequences with limit relative frequencies. We consider three axioms parallel to the ones for the von Neumann–Morgenstern (vN–M) expected utility theory. Limit relative frequencies correspond to probability values in lotteries in the vN–M theory. This correspondence is used to show that each of our axioms is equivalent to the corresponding vN–M axiom in the sense that the former is an exact translation of the latter. As a result, a representation theorem is established: The preference relation is represented by an average of utilities with weights given by the relative frequencies.