A note on the existence of continuous representationsof homothetic preferences on a topological vector space

Gianni Bosi

Annals of Operations Research, 1998, vol. 80, issue 0, 263-268

Abstract: Let ≤ be a complete preorder on a cone K in a topological vector space E, and assume that 0 ≤ x for every x ∈ K. Necessary and sufficient conditions are given for the existenceof a utility function u for ≤, which is homogeneous of degree one and continuous. Copyright Kluwer Academic Publishers 1998

Date: 1998
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DOI: 10.1023/A:1018920132295

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