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Remarks concerning concave utility functions on finite sets

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  • Yakar Kannai

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    Abstract

    A direct construction of concave utility functions representing convex preferences on finite sets is presented. An alternative construction in which at first directions of supergradients (“prices”) are found, and then utility levels and lengths of those supergradients are computed, is exhibited as well. The concept of a least concave utility function is problematic in this context. Copyright Springer-Verlag Berlin/Heidelberg 2005

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    File URL: http://hdl.handle.net/10.1007/s00199-004-0545-x
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    Bibliographic Info

    Article provided by Springer in its journal Economic Theory.

    Volume (Year): 26 (2005)
    Issue (Month): 2 (08)
    Pages: 333-344

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    Handle: RePEc:spr:joecth:v:26:y:2005:i:2:p:333-344

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    Web page: http://link.springer.de/link/service/journals/00199/index.htm

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    Related research

    Keywords: Concave utility; Finite sets; Supergradients; Afriat-Varian algorithm; Least concavity.;

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    Cited by:
    1. Kalandrakis, Tasos, 2010. "Rationalizable voting," Theoretical Economics, Econometric Society, vol. 5(1), January.
    2. Chambers, Christopher P. & Echenique, Federico, 2009. "Supermodularity and preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1004-1014, May.
    3. Christopher Connell & Eric Rasmusen, 2012. "Concavifying the Quasiconcave," Working Papers 2012-10, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
    4. Apartsin, Yevgenia & Kannai, Yakar, 2006. "Demand properties of concavifiable preferences," Journal of Mathematical Economics, Elsevier, vol. 43(1), pages 36-55, December.

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