Structure-Preserving Transformations of Epistemic Models

Christian W. Bach*, Andrés Perea y Monsuwé

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review


The prevailing approaches to modelling 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 the two 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.
Original languageEnglish
Number of pages27
JournalEconomic Inquiry
Early online date14 Feb 2023
Publication statusE-pub ahead of print - 14 Feb 2023

JEL classifications

  • c72 - Noncooperative Games

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