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• W2018099013 abstract "Various types of continuity for preference relations on a metric space are examined constructively. In particular, necessary and sufficient conditions are given for an order-dense, strongly extensional preference relation on a complete metric space to be continuous. It is also shown, in the spirit of constructive reverse mathematics, that the continuity of sequentially continuous, order-dense preference relations on complete, separable metric spaces is connected to Ishihara's principle BD - N , and therefore is not provable within Bishop-style constructive mathematics alone." @default.
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• W2018099013 date "2008-03-01" @default.
• W2018099013 modified "2023-09-24" @default.
• W2018099013 title "Continuity Properties of Preference Relations" @default.
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• W2018099013 doi "https://doi.org/10.1016/j.entcs.2008.03.004" @default.
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