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- Publisher Website: 10.1016/j.mathsocsci.2018.03.004
- Scopus: eid_2-s2.0-85056327277
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Article: Continuity and completeness of strongly independent preorders
Title | Continuity and completeness of strongly independent preorders |
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Authors | |
Issue Date | 2018 |
Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/mss |
Citation | Mathematical Social Sciences, 2018, v. 93, p. 141-145 How to Cite? |
Abstract | We show that a strongly independent preorder on a possibly infinite dimensional convex set that satisfies two of the following conditions must satisfy the third: (i) the Archimedean continuity condition; (ii) mixture continuity; and (iii) comparability under the preorder is an equivalence relation. In addition, if the preorder is nontrivial (has nonempty asymmetric part) and satisfies two of the following conditions, it must satisfy the third: (i) a modest strengthening of the Archimedean condition; (ii) mixture continuity; and (iii) completeness. Applications to decision making under conditions of risk and uncertainty are provided, illustrating the relevance of infinite dimensionality. |
Persistent Identifier | http://hdl.handle.net/10722/264855 |
ISSN | 2023 Impact Factor: 0.5 2023 SCImago Journal Rankings: 0.309 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | McCarthy, DP | - |
dc.contributor.author | Mikkola, K | - |
dc.date.accessioned | 2018-11-01T01:24:40Z | - |
dc.date.available | 2018-11-01T01:24:40Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | Mathematical Social Sciences, 2018, v. 93, p. 141-145 | - |
dc.identifier.issn | 0165-4896 | - |
dc.identifier.uri | http://hdl.handle.net/10722/264855 | - |
dc.description.abstract | We show that a strongly independent preorder on a possibly infinite dimensional convex set that satisfies two of the following conditions must satisfy the third: (i) the Archimedean continuity condition; (ii) mixture continuity; and (iii) comparability under the preorder is an equivalence relation. In addition, if the preorder is nontrivial (has nonempty asymmetric part) and satisfies two of the following conditions, it must satisfy the third: (i) a modest strengthening of the Archimedean condition; (ii) mixture continuity; and (iii) completeness. Applications to decision making under conditions of risk and uncertainty are provided, illustrating the relevance of infinite dimensionality. | - |
dc.language | eng | - |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/mss | - |
dc.relation.ispartof | Mathematical Social Sciences | - |
dc.title | Continuity and completeness of strongly independent preorders | - |
dc.type | Article | - |
dc.identifier.email | McCarthy, DP: mccarthy@hku.hk | - |
dc.identifier.authority | McCarthy, DP=rp01447 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.mathsocsci.2018.03.004 | - |
dc.identifier.scopus | eid_2-s2.0-85056327277 | - |
dc.identifier.hkuros | 292320 | - |
dc.identifier.volume | 93 | - |
dc.identifier.spage | 141 | - |
dc.identifier.epage | 145 | - |
dc.identifier.isi | WOS:000431937000015 | - |
dc.publisher.place | Netherlands | - |
dc.identifier.issnl | 0165-4896 | - |