(Hemi)continuity of additive preference preorders

Georgios Gerasimou

Journal of Mathematical Economics, 2015, vol. 58, issue C, 79-81

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.

Keywords: Incompleteness; Continuity; Hemicontinuity; Additivity; Independence; Homotheticity (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:58:y:2015:i:c:p:79-81

DOI: 10.1016/j.jmateco.2015.03.009

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