Common theories

Hannu Salonen

Mathematical Social Sciences, 2009, vol. 58, issue 3, 279-289

Abstract: By a theory we mean a subset of propositions that is closed under consequences and conjunctions. When the set of all propositions is a Boolean algebra, theories are filters in this algebra. When there are several theorists, they can also have theories about what theories the other theorists subscribe to. We construct a set of theories which is complete in the sense that it contains all theories about the states of nature and about the set of theories of other agents. This is accomplished by building a complete belief model, where agents' beliefs are modeled by filters. This model is also canonical, terminal and universal.

Keywords: Belief; models; Boolean; algebra; Completeness (search for similar items in EconPapers)
Date: 2009
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0165-4896(09)00078-X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:58:y:2009:i:3:p:279-289

Access Statistics for this article

Mathematical Social Sciences is currently edited by J.-F. Laslier

More articles in Mathematical Social Sciences from Elsevier
Bibliographic data for series maintained by Catherine Liu ().