TL;DR
This paper introduces a new approach to choice revision in belief change, utilizing descriptor revision and multiple believability relations, providing axiomatic characterizations under finite and infinite language assumptions.
Contribution
It develops novel models for choice revision based on descriptor revision and believability relations, with axiomatic characterizations applicable to finite and infinite languages.
Findings
Axiomatic characterization of choice revision variants with finite language.
Extension of choice revision models to infinite languages using believability relations.
Introduction of rationality conditions for believability relations.
Abstract
Choice revision is a sort of non-prioritized multiple revision, in which the agent partially accepts the new information represented by a set of sentences. We investigate the construction of choice revision based on a new approach to belief change called descriptor revision. We prove that each of two variants of choice revision based on such construction is axiomatically characterized with a set of plausible postulates, assuming that the object language is finite. Furthermore, we introduce an alternative modelling for choice revision, which is based on a type of relation on sets of sentences, named multiple believability relation. We show without assuming a finite language that choice revision constructed from such relations is axiomatically characterized with the same sets of postulates proposed for the choice revision based on descriptor revision, whenever the relations satisfy…
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Taxonomy
TopicsEconomic and Environmental Valuation