Journal article
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 belief hierarchies. We use our results to characterize the conditions under which types generate the same belief hierarchy.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 303.4KB, Terms of use)
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- Publisher copy:
- 10.3390/g7040028
Authors
- Publisher:
- MDPI
- Journal:
- Games More from this journal
- Volume:
- 7
- Issue:
- 4
- Pages:
- 28
- Publication date:
- 2016-10-09
- Acceptance date:
- 2016-09-30
- DOI:
- EISSN:
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2073-4336
- Keywords:
- Pubs id:
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pubs:941340
- UUID:
-
uuid:59065794-2d64-48b7-9e3c-61d934a9efa7
- Local pid:
-
pubs:941340
- Source identifiers:
-
941340
- Deposit date:
-
2018-11-19
Terms of use
- Copyright holder:
- Perea and Kets
- Copyright date:
- 2016
- Notes:
- © 2016 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC-BY) license (http://creativecommons.org/licenses/by/4.0/).
- Licence:
- CC Attribution (CC BY)
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