Next Article in Journal
What Goes Around, Comes Around: Experimental Evidence on Exposed Lies
Next Article in Special Issue
Leveraging Possibilistic Beliefs in Unrestricted Combinatorial Auctions
Previous Article in Journal
Evolution of Mindsight and Psychological Commitment among Strategically Interacting Agents
Article Menu

Export Article

Open AccessArticle
Games 2016, 7(4), 28; doi:10.3390/g7040028

When Do Types Induce the Same Belief Hierarchy?

1
EpiCenter and Department of Quantitative Economics, Maastricht University, P.O. Box 616, 6200 MD Maastricht, The Netherlands
2
MEDS, Kellogg School of Management, Northwestern University, Evanston, IL 60208-2001, USA
*
Author to whom correspondence should be addressed.
Academic Editor: Paul Weirich
Received: 22 August 2016 / Revised: 29 September 2016 / Accepted: 30 September 2016 / Published: 9 October 2016
(This article belongs to the Special Issue Epistemic Game Theory and Logic)
View Full-Text   |   Download PDF [303 KB, uploaded 9 October 2016]

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. View Full-Text
Keywords: types; belief hierarchies; epistemic game theory; morphisms types; belief hierarchies; epistemic game theory; morphisms
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Perea, A.; Kets, W. When Do Types Induce the Same Belief Hierarchy? Games 2016, 7, 28.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Games EISSN 2073-4336 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top