论文标题
匿名风险共享的公理理论
An axiomatic theory for anonymized risk sharing
论文作者
论文摘要
我们研究一个用于匿名风险共享的公理框架。与传统的风险共享设置相反，我们的框架不需要有关偏好，身份，私人操作以及来自各个代理商的损失的信息，因此对于对分散系统中的风险共享进行建模非常有用。在这样一个框架中，有四个公理自然 - 精算公平，风险公平，风险匿名和操作匿名性 - 提出并讨论。我们确定了一个了不起的事实，即四个公理表征有条件的平均风险共享规则，从而在所有其他方面揭示了这种流行风险共享规则在匿名风险共享的相关应用中的独特而突出的作用。研究了其他几个属性及其与四个公理的关系，以及它们在实践中合理化某些共享机制的设计方面的含义。
We study an axiomatic framework for anonymized risk sharing. In contrast to traditional risk sharing settings, our framework requires no information on preferences, identities, private operations and realized losses from the individual agents, and thereby it is useful for modeling risk sharing in decentralized systems. Four axioms natural in such a framework -- actuarial fairness, risk fairness, risk anonymity, and operational anonymity -- are put forward and discussed. We establish the remarkable fact that the four axioms characterizes the conditional mean risk sharing rule, revealing the unique and prominent role of this popular risk sharing rule among all others in relevant applications of anonymized risk sharing. Several other properties and their relations to the four axioms are studied, as well as their implications in rationalizing the design of some sharing mechanisms in practice.
