Specific Complete Measure in the Structure of a Utility Function

Authors

  • Somayeh Mohammadzadeh

DOI:

https://doi.org/10.30495/jme.v0i0.1578

Abstract

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

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Published

2021-01-11

Issue

Vol. 15

Section

Vol. 15, No. 4, (2021)

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