Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/146989
Authors: 
Perea, Andrés
Kets, Willemien
Year of Publication: 
2015
Series/Report no.: 
Discussion Paper, Center for Mathematical Studies in Economics and Management Science 1586
Abstract: 
Type structures are a simple device to describe higher-order beliefs. But 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 if and only if the former 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.
Subjects: 
Types
belief hierarchies
epistemic game theory
morphisms
JEL: 
C72
Document Type: 
Working Paper

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