Template-type: ReDif-Paper 1.0 Author-Name: Tsakas Elias Author-workplace-name: METEOR Title: Belief hierarchies in standard state space models and epistemic equivalence of belief spaces Abstract: In this paper we formalize the notion of lexicographic belief hierarchies in standard partitional models (Aumann, 1976). We introduce the notion of epistemic equivalence between two belief space, and show that the state space representation of lexicographic belief hierarchies is equivalent to the usual type-space approach, even when the latter induces lexicographic belief hierarchies which violate mutual singularity. Keywords: mathematical economics; Series: Research Memoranda Creation-Date: 2010 Number: 048 File-URL: http://digitalarchive.maastrichtuniversity.nl/fedora/objects/guid:4b604b53-f474-4a3f-af3f-4adcd921e4b3/datastreams/ASSET1/content File-Format: application/pdf File-Size: 363705 Handle: RePEc:unm:umamet:2010048