(Hemi)Continuity of additive preference preorders
Abstract
It is shown that the two common notions of topological continuity for preference preorders, which require closed contour sets and a closed graph respectively, are equivalent even when completeness is not assumed, provided that the domain is a normed linear space or a topological group and the preorder is additive.
Citation
Gerasimou , G 2015 , ' (Hemi)Continuity of additive preference preorders ' , Journal of Mathematical Economics , vol. 58 , pp. 79-81 . https://doi.org/10.1016/j.jmateco.2015.03.009
Publication
Journal of Mathematical Economics
Status
Peer reviewed
ISSN
0304-4068Type
Journal article
Rights
© 2015. Elsevier Ltd. All rights reserved. This is the author’s version of a work that was accepted for publication in Journal of Mathematical Economics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Mathematical Economics, 58, 11 April 2015 DOI 10.1016/j.jmateco.2015.03.009
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