Structure-preserving transformations of epistemic models

Bach, Christian W ORCID: 0000-0003-0187-1820 and Perea, Andres (2023) Structure-preserving transformations of epistemic models. ECONOMIC INQUIRY, 61 (3). pp. 693-719.

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Official URL: http://dx.doi.org/10.1111/ecin.13136

Abstract

<jats:title>Abstract</jats:title><jats:p>The prevailing approaches to modeling 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 our 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.</jats:p>

Item Type:	Article
Uncontrolled Keywords:	belief hierarchies, common prior assumption, epistemic game theory, epistemic models, games, interactive epistemology, isomorphism, maximal reduction, possible worlds, states, transformation procedures, types
Divisions:	Faculty of Humanities and Social Sciences > School of Management
Depositing User:	Symplectic Admin
Date Deposited:	22 Feb 2023 11:13
Last Modified:	23 Aug 2023 08:24
DOI:	10.1111/ecin.13136
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3168535