Numerical Representation of Preferences over Random Availability Functions
Theoretical Economics
2025-05-06 v2 Optimization and Control
Abstract
We interpret a fuzzy set as a random availability function and provide sufficient conditions under which a preference relation over the set of all random availability functions can be represented by a utility function.
Cite
@article{arxiv.2504.18863,
title = {Numerical Representation of Preferences over Random Availability Functions},
author = {Somdeb Lahiri},
journal= {arXiv preprint arXiv:2504.18863},
year = {2025}
}
Comments
6 pages. An example has been included. JEL Classification: D 81. Keywords: random availability function, preference relation, weakly dominant, weakly continuous