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

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  • Gianni Bosi

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

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  • Gianni Bosi, 1998. "A note on the existence of continuous representationsof homothetic preferences on a topological vector space," Annals of Operations Research, Springer, vol. 80(0), pages 263-268, January.
    • Handle: RePEc:spr:annopr:v:80:y:1998:i:0:p:263-268:10.1023/a:1018920132295
    DOI: 10.1023/A:1018920132295
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    Cited by:

    1. Jan Heufer, 2013. "Testing revealed preferences for homotheticity with two-good experiments," Experimental Economics, Springer;Economic Science Association, vol. 16(1), pages 114-124, March.
    2. Bosi, Gianni & Candeal, Juan Carlos & Indurain, Esteban, 2000. "Continuous representability of homothetic preferences by means of homogeneous utility functions," Journal of Mathematical Economics, Elsevier, vol. 33(3), pages 291-298, April.
    3. Castagnoli, Erio & Maccheroni, Fabio, 2000. "Restricting independence to convex cones," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 215-223, October.
    4. Bosi, Gianni & Zuanon, Magali E., 2003. "Continuous representability of homothetic preorders by means of sublinear order-preserving functions," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 333-341, July.
    5. Gianni Bosi, 2002. "Semicontinuous Representability of Homothetic Interval Orders by Means of Two Homogeneous Functionals," Theory and Decision, Springer, vol. 52(4), pages 303-312, June.

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