Remarks concerning concave utility functions on finite sets
AbstractA 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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Bibliographic InfoArticle provided by Springer in its journal Economic Theory.
Volume (Year): 26 (2005)
Issue (Month): 2 (08)
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Web page: http://link.springer.de/link/service/journals/00199/index.htm
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- Tasos Kalandrakis, 2008.
Wallis Working Papers
WP51, University of Rochester - Wallis Institute of Political Economy.
- 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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- Chambers, Christopher P. & Echenique, Federico, 2009. "Supermodularity and preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1004-1014, May.
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