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Background risk, bivariate risk attitudes, and optimal prevention

机译:背景风险,二元风险态度和最佳预防

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This paper extends Eeckhoudt et al.'s (2012) results for precautionary effort to bivariate utility function framework. We establish an equivalence between the agent's precautionary effort motive and the signs of successive cross-derivatives of the bivariate utility function. We show that the introduction (or deterioration) of an independent background risk induces more prevention to protect against wealth loss provided the individual exhibits correlation aversion of some given order. The conditions on the individual's risk preferences are given to generate some specific prevention behaviors in the univariate framework with multiplicative risks. Our conclusion also indicates that an increase in the correlation between wealth risk and background risk leads to a reduction in optimal prevention.
机译:本文将Eeckhoudt等人(2012)的结果扩展为用于双变量效用函数框架的预防工作。我们在代理的预防工作动机与双变量效用函数的连续交叉导数的符号之间建立了等价关系。我们显示出,独立个体本底风险的引入(或恶化)会引发更多的预防措施,以防止财富损失,前提是该个体表现出某些给定顺序的相关厌恶感。给出了个人风险偏好的条件,以在具有乘法风险的单变量框架中生成一些特定的预防行为。我们的结论还表明,财富风险和背景风险之间的相关性增加会导致最佳预防措施的减少。

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