A New Approach to Utility Function

This paper treats from an axiomatic point of view the notions of indifference and preference, relative to the consumption of goods. After the introduction and analysis of indifference classes, the notion of the utility function is introduced naturally, a number of axioms giving consistency and ri...

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Bibliographic Details
Main Author: Cătălin Angelo Ioan
Format: Article
Language:English
Published: Danubius University 2015-04-01
Series:Acta Universitatis Danubius: Oeconomica
Subjects:
Online Access:http://journals.univ-danubius.ro/index.php/oeconomica/article/view/2703/2395
Description
Summary:This paper treats from an axiomatic point of view the notions of indifference and preference, relative to the consumption of goods. After the introduction and analysis of indifference classes, the notion of the utility function is introduced naturally, a number of axioms giving consistency and rigor. The concept of marginal utility is presented in both differentiable and, especially, in the discretized case. There are introduced new types of discretized marginal utility that adapts better when analyzing discrete the differential situation. The marginal rate of substitution is addressed globally, for n goods, obtaining the notions of hyperplane or minimal vector of substitution. Also, in the discretized case, there are introduced the marginal rates of substitution to the left, right or bilateral, as well as the adjusted rates, which give more precisely the possibility of consumption of a good when replaced another.
ISSN:2065-0175
2067-340X