英文文献:A Framework for Robustness to Ambiguity of Higher-Order Beliefs-对高阶信念歧义的稳健性框架
英文文献作者:Ronald Stauber
英文文献摘要:
This paper defines simple procedures to construct ambiguous perturbations of belief structures associated to standard type spaces with precise beliefs, based on ambiguous type spaces whose induced belief hierarchies approximate the belief hierarchies corresponding to the initial type space. Two alternative procedures to construct such perturbations are introduced, and are shown to yield a simple and intuitive characterization of convergence of the resulting approximations to the initial unperturbed environment. The perturbations arising from one of these procedures include the set of all finite perturbations as a special case. The introduced perturbations and their convergence properties provide a foundation for the analysis of robustness to ambiguity of various solutions concepts, and for various decision rules under ambiguity.
摘要在模糊类型空间的基础上,给出了构造具有精确信念的标准类型空间的信念结构的模糊摄动的简单方法。介绍了构造这种摄动的两种方法,并证明了对初始无摄动环境所得到的逼近的收敛性的一个简单而直观的表征。从这些过程中产生的扰动包括作为特殊情况的所有有限扰动集。所引入的扰动及其收敛特性为分析各种解概念的模糊性鲁棒性和各种模糊性下的决策规则提供了基础。