Common Mathematical Foundations of Expected Utility and Dual Utility Theories
Functional Analysis
2012-11-20 v1 Optimization and Control
Abstract
We show that the main results of the expected utility and dual utility theories can be derived in a unified way from two fundamental mathematical ideas: the separation principle of convex analysis, and integral representations of continuous linear functionals from functional analysis. Our analysis reveals the dual character of utility functions. We also derive new integral representations of dual utility models.
Keywords
Cite
@article{arxiv.1211.4469,
title = {Common Mathematical Foundations of Expected Utility and Dual Utility Theories},
author = {Darinka Dentcheva and Andrzej Ruszczynski},
journal= {arXiv preprint arXiv:1211.4469},
year = {2012}
}