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

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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.

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Authors
  1. Gianni Bosi
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Bosi, G. A note on the existence of continuous representationsof homothetic preferences on a topological vector space. Annals of Operations Research 80, 263–268 (1998). https://doi.org/10.1023/A:1018920132295

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  • DOI: https://doi.org/10.1023/A:1018920132295

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