When Do Types Induce the Same Belief Hierarchy?
When Do Types Induce the Same Belief Hierarchy?
Blog Article
Type structures are a simple device to describe higher-order beliefs.However, how can we check whether two types generate the same belief hierarchy? This paper generalizes the concept of a type morphism and shows that one type structure is contained in another lochby venture pouch if and only if the former att nighthawk hotspot can be mapped into the other using a generalized type morphism.Hence, every generalized type morphism is a hierarchy morphism and vice versa.
Importantly, generalized type morphisms do not make reference to belief hierarchies.We use our results to characterize the conditions under which types generate the same belief hierarchy.