Although the subjective expected utility (SEU) theory is more than 60 years old, it was recently discovered by Hartmann (Econometrica 88(1):203–205, 2020, https://doi.org/10.3982/ECTA17428) that one of the original seven postulates is redundant, i.e., it is implied by the other six postulates. In this brief communication, we show that this redundant axiom is the only one that is implied by the other axioms, thereby establishing that the remaining six postulates form an independent axiomatic system. This result further streamlines the preference assumptions underlying the SEU theory.

中文翻译：

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主观预期效用的独立假设

尽管主观预期效用 (SEU) 理论已有 60 多年的历史，但 Hartmann 最近发现 (Econometrica 88(1):203–205, 2020, https://doi.org/10.3982/ECTA17428) 之一原来的七个公设是多余的，即它是由其他六个公设隐含的。在这个简短的交流中，我们表明这个冗余公理是其他公理所隐含的唯一一个，从而确定其余六个公设形成一个独立的公理系统。这一结果进一步简化了 SEU 理论背后的偏好假设。