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Unawareness with “possible” possible worlds

Walker, Oliver (2014) Unawareness with “possible” possible worlds. Mathematical Social Sciences, 70. pp. 23-33. ISSN 0165-4896

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Identification Number: 10.1016/j.mathsocsci.2014.03.003


Logical structures for modeling agents’ reasoning about unawareness are presented where it can hold simultaneously that: (i) agents’ beliefs about whether they are fully aware need not be veracious with partitional information; and (ii) the agent is fully aware if and only if she is aware of a fixed domain of formulae. In light of (ii), all states are deemed “possible”. Semantics operate in two stages, with belief in the second stage determined by truth in the first stage. Characterization theorems show that, without the first stage, the structures validate the same conditions as those of Halpern and Rego (2009).

Item Type: Article
Official URL:
Additional Information: © 2014 Published by Elsevier Inc.
Divisions: Grantham Research Institute
Subjects: H Social Sciences > HB Economic Theory
Q Science > QA Mathematics
Date Deposited: 08 May 2014 09:03
Last Modified: 20 Aug 2021 01:59
Funders: Economics Department of the University of Oxford, Grantham Foundation for the Protection of the Environment, Centre for Climate Change Economics and Policy, UK’s Economic and Social Research Council, Munich Re

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