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dc.contributor.author
Tohmé, Fernando Abel
dc.contributor.author
Caterina, Gianluca
dc.contributor.author
Gangle, Jonathan
dc.date.available
2021-03-09T20:43:12Z
dc.date.issued
2020-05-29
dc.identifier.citation
Tohmé, Fernando Abel; Caterina, Gianluca; Gangle, Jonathan; Iterated Admissibility Through Forcing in Strategic Belief Models; Springer; Journal of Logic, language and Information; 29; 29-5-2020; 491–509
dc.identifier.issn
0925-8531
dc.identifier.uri
http://hdl.handle.net/11336/127865
dc.description.abstract
Iterated admissibility embodies a minimal criterion of rationality in interactions. The epistemic characterization of this solution has been actively investigated in recent times: it has been shown that strategies surviving m+1 rounds of iterated admissibility may be identified as those that are obtained under a condition called rationality and m assumption of rationality in complete lexicographic type structures. On the other hand, it has been shown that its limit condition, with an infinity assumption of rationality (R∞AR), might not be satisfied by any state in the epistemic structure, if the class of types is complete and the types are continuous. In this paper we analyze the problem in a different framework. We redefine the notion of type as well as the epistemic notion of assumption. These new definitions are sufficient for the characterization of iterated admissibility as the class of strategies that indeed satisfy R∞AR. One of the key methodological innovations in our approach involves defining a new notion of generic types and employing these in conjunction with Cohen’s technique of forcing.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
ITERATED ADMISSIBILITY
dc.subject
INFINITE ASSUMPTION OF RATIONALITY
dc.subject
FORCING
dc.subject.classification
Otras Matemáticas
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Iterated Admissibility Through Forcing in Strategic Belief Models
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-06-22T14:09:00Z
dc.identifier.eissn
1572-9583
dc.journal.volume
29
dc.journal.pagination
491–509
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Tohmé, Fernando Abel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
dc.description.fil
Fil: Caterina, Gianluca. Center for Diagrammatic and Computational Philosophy. Endicott College; Estados Unidos
dc.description.fil
Fil: Gangle, Jonathan. Center for Diagrammatic and Computational Philosophy. Endicott College; Estados Unidos
dc.journal.title
Journal of Logic, language and Information
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s10849-020-09317-4
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10849-020-09317-4
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