On the characterization of preference continuity by chains of sets

Alós-Ferrer, Carlos and Ritzberger, Klaus (2014) On the characterization of preference continuity by chains of sets. Economic Theory Bulletin. https://doi.org/10.1007/s40505-014-0048-2

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This paper characterizes continuity and upper and lower semicontinuity of preference relations, which may or may not be representable by utility functions, on arbitrary topological spaces. One characterization is by the existence of an appropriate chain of sets. This approach can be used to generate preference relations that fulfill predetermined conditions, to obtain examples or counterexamples. The second characterization of continuity is closely related to the concept of scale, but, in contrast to previous work, does not rely on the existence of a utility function. (author's abstract)

Item Type: Article in Academic Journal
Date Deposited: 05 Feb 2015 08:55
Last Modified: 01 Apr 2016 14:17
DOI: 10.1007/s40505-014-0048-2
ISSN: 2196-1085
URI: https://irihs.ihs.ac.at/id/eprint/2894

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