1. Structure-Preserving Transformations of Epistemic Models
- Author
-
Christian W. Bach, Andrés Perea, QE Math. Economics & Game Theory, RS: GSBE other - not theme-related research, and RS: FSE DACS Mathematics Centre Maastricht
- Subjects
Economics and Econometrics ,c72 - Noncooperative Games ,Noncooperative Games ,General Business, Management and Accounting - Abstract
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.
- Published
- 2023