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Nice demand and concavifiable smooth preferences: determinateness of a utility function

Article Abstract:

A study was conducted to evaluate the determinateness of a utility function which describes demand differentiability and the concavifiability of smooth preferences. The study considers the selection of the least concave utility function and focuses on inferior and normal demands. Results show that the utility defined exhibits uniqueness up to an affine transformation degree. In addition, the results justify Pareto conclusions on ordinal utility.

Author: Kusumoto, Sho-Ichiro
Publisher: Elsevier B.V.
Publication Name: The Journal of Mathematical Economics
Subject: Mathematics
ISSN: 0304-4068
Year: 1992
Demand (Economics)

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Efficient sets with and without the expected utility hypothesis: a generalization

Article Abstract:

The behavior of efficient sets is analyzed within the context of general models. The Expected Utility theory of preference under uncertain conditions is analyzed in relation to set behavior. Results indicate that the linear structure is closely related to preference links. In fact, this linearity has been the source of derived results in the theory of efficient sets as seen from the point of view of the utility theory.

Author: Quiggin, John
Publisher: Elsevier B.V.
Publication Name: The Journal of Mathematical Economics
Subject: Mathematics
ISSN: 0304-4068
Year: 1992

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Explicit characterizations of financial prices with history-dependent utility

Article Abstract:

In a particular consumer economy, financial returns and prices can be derived.

Author: Haug, Jorgen
Publisher: Elsevier B.V.
Publication Name: The Journal of Mathematical Economics
Subject: Mathematics
ISSN: 0304-4068
Year: 2001
Science & research, Prices, Norway

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Subjects list: Research, Consumer preferences, Utility theory, Utility functions
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