A decision maker who would rather apportion an independent risk in a state with a good lottery than in a state with a bad lottery is said to have a preference for risk apportionment (Eeckhoudt and Schlesinger in Am Econ Rev 96:280–289, 2006). In this paper, we propose a measure for the strength of nth-degree risk apportionment preference based on Pratt’s probability premium (Pratt in Econometrica 32:122–136, 1964). Under expected utility theory, we analyze the relationship between a greater preference for risk apportionment and both the Ross and Arrow–Pratt versions of comparative risk aversion.

中文翻译：

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比较风险分摊

据说宁愿在彩票状况良好的州而不是彩票状况较差的州分摊独立风险的决策者，倾向于风险分摊（Eeckhoudt和Schlesinger在《美国经济评论》第96期：280-289页，2006年）。 。在本文中，我们提出了一种基于Pratt概率溢价的n级风险分摊偏好强度的度量（Pratt in Econometrica 32：122–136，1964）。在预期效用理论下，我们分析了更大的风险分摊偏好与罗斯和艾尔·普拉特版本的相对风险规避之间的关系。