2006 | OriginalPaper | Buchkapitel
Remarks concerning concave utility functions on finite sets
verfasst von : Yakar Kannai
Erschienen in: Rationality and Equilibrium
Verlag: Springer Berlin Heidelberg
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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.