Specific Complete Measure in the Structure of a Utility Function

Author(s):

S. Mohammadzadeh∗

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this article, an outer measure is constructed on a pseudoordered set (X, ≿) and then it will be shown that it is in fact a measure defined on the whole power set of X . Applying this, a measurable utility function θ is defined which represents the relation ≿ on X. Also, we discuss the continuity and upper semi-continuity of θ in certain points of X. Finally, the results are used to improve some of the theorems in economics.

Keywords:

measure , utility function , continuous , uppersemi-continuous

Language:
English
Published:
Journal of Mathematical Extension, Volume:15 Issue: 4, Autumn 2021
Page:
4
https://www.magiran.com/p2262586