Semicontinuous Representability of Homothetic Interval Orders by Means of Two Homogeneous Functionals |
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Authors: | Bosi Gianni |
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Institution: | (1) Dipartimento di Matematica Applicata `Bruno de Finetti', Università di Trieste, Piazzale Europa 1, 34127 Trieste, Italy |
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Abstract: | It is well known that interval orders are particularly interesting in decision theory, since they are reflexive, complete and nontransitive binary relations which may be fully represented by means of two real-valued functions. In this paper, we discuss the existence of a pair of nonnegative, positively homogeneous and semicontinuous real-valued functionals representing an interval order on a real cone in a topological vector space. We recover as a particular case a result concerning the existence of a nonnegative, positively homogeneous and continuous utility functional for a complete preorder on a real cone in a topological vector space. |
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Keywords: | Interval order Topological vector space Utility function |
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