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Continuous lexicographic preferences - MaRDI portal

Continuous lexicographic preferences (Q2581788)

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Continuous lexicographic preferences
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    Continuous lexicographic preferences (English)
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    10 January 2006
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    A binary relation representable as a lexicographic order on \(n\)-dimensional Euclidean space is considered. It is shown that a lexicographically representable binary relation has a continuous lexicographic representation if and only if it is locally utility representable. It is proved also that under some assumptions a binary relation with a lexicographic representation has a coordinate-continuous representation for \(n=2\).
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    preferences
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    lexicographic order
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    continuous representation
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