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When do types induce the same belief hierarchy?

Abstract:

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 b...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.3390/g7040028

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Institution:
University of Oxford
Division:
Social Sciences Division
Department:
Economics
Oxford college:
Queens College; Queens College; Queens College
Publisher:
MDPI Publisher's website
Journal:
Games Journal website
Volume:
7
Issue:
4
Pages:
28
Publication date:
2016-10-09
Acceptance date:
2016-09-30
DOI:
EISSN:
2073-4336
Pubs id:
pubs:941340
URN:
uri:59065794-2d64-48b7-9e3c-61d934a9efa7
UUID:
uuid:59065794-2d64-48b7-9e3c-61d934a9efa7
Local pid:
pubs:941340

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