(Hemi)Continuity of additive preference preorders

Georgios Gerasimou

doi:10.1016/j.jmateco.2015.03.009

(Hemi)Continuity of additive preference preorders

Georgios Gerasimou

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	79-81
Journal	Journal of Mathematical Economics
Volume	58
Early online date	11 Apr 2015
DOIs	https://doi.org/10.1016/j.jmateco.2015.03.009
Publication status	Published - May 2015

Keywords

Incompleteness
Continuity
Hemicontinuity
Addiviity
Independence
Homotheticity

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10.1016/j.jmateco.2015.03.009

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© 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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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, Addiviity, Independence, Homotheticity",

author = "Georgios Gerasimou",

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PY - 2015/5

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KW - Incompleteness

KW - Continuity

KW - Hemicontinuity

KW - Addiviity

KW - Independence

KW - Homotheticity

UR - https://www.scopus.com/pages/publications/84929326096

U2 - 10.1016/j.jmateco.2015.03.009

DO - 10.1016/j.jmateco.2015.03.009

M3 - Article

SN - 0304-4068

VL - 58

SP - 79

EP - 81

JO - Journal of Mathematical Economics

JF - Journal of Mathematical Economics

ER -

(Hemi)Continuity of additive preference preorders

Abstract

Keywords

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