Structure‐preserving transformations of epistemic models
提出了将状态模型转换为类型模型及反向转换的两种通用程序,这些程序保持信念层级和共同先验假设,并通过反例说明它们并非互逆,但在最大简化模型下可建立同构关系。
Abstract The prevailing approaches to modeling interactive uncertainty with epistemic models in economics are state‐based and type‐based. We explicitly formulate two general procedures that transform state models into type models and vice versa. Both transformation procedures preserve the belief hierarchies as well as the common prior assumption. By means of counterexamples it is shown that our procedures are not inverse to each other. However, if attention is restricted to maximally reduced epistemic models, then isomorphisms can be constructed and an inverse relationship emerges.