Abstract Bivariate risk apportionment is the preference for dispersing risks associated with two aspects of individuals’ well-being into different states of the world. In this paper, we propose an intensity measure of this preference by extending to the bivariate case the concept of marginal rate of substitution between risks of different orders introduced in the univariate case by Liu and Meyer (2013). We show that the intensity measure of the preference for bivariate risk apportionment is characterized by bivariate risk attitudes in the sense of Ross. The usefulness of our measures to understand economic choices is illustrated by the analysis of two specific decisions: savings under environmental risk and medical treatment in the presence of diagnostic risks.

中文翻译：

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双变量风险分配的偏好强度

摘要 双变量风险分配是将与个人福祉的两个方面相关的风险分散到世界不同状态的偏好。在本文中，我们通过将 Liu 和 Meyer（2013）在单变量案例中引入的不同阶风险之间的边际替代率概念扩展到双变量案例，提出了这种偏好的强度度量。我们表明，对双变量风险分配偏好的强度度量以罗斯意义上的双变量风险态度为特征。我们通过对两个具体决策的分析说明了我们理解经济选择的措施的有用性：环境风险下的储蓄和存在诊断风险的医疗。