When do types induce the same belief hierarchy?

Arbeitspapier

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.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: Discussion Paper ; No. 1586

Classification and Topics

• Classification: Wirtschaft ; Noncooperative Games
• Subject: Types ; belief hierarchies ; epistemic game theory ; morphisms

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Perea, Andrés ; Kets, Willemien
• Event: Veröffentlichung
• (who): Northwestern University, Kellogg School of Management, Center for Mathematical Studies in Economics and Management Science
• (where): Evanston, IL
• (when): 2015

Further information

• Handle: http://hdl.handle.net/10419/146989
• Last update: 02.03.2025, 11:48 AM CET