When do types induce the same belief hierarchy?

Andrés Perea, Willemien Kets*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 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.

Original languageEnglish (US)
Article number28
Issue number4
StatePublished - Dec 2016


  • Belief hierarchies
  • Epistemic game theory
  • Morphisms
  • Types

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics


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