Risk and Monotone Comparative Statics without Independence
Theoretical Economics
2026-01-16 v1
Abstract
We extend well-known comparative results under expected utility to models of non-expected utility by providing novel conditions on local utility functions. We illustrate how our results parallel, and are distinct from, existing results for monotone comparative statics under expected utility, as well as risk preferences for non-expected utility. Our conditions generalize existing results for specific preferences (including expected utility) and allow us to verify monotone comparative statics for novel environments and preferences. We apply our results to portfolio choice problems where preferences or wealth might change, as well as precautionary savings.
Cite
@article{arxiv.2601.10664,
title = {Risk and Monotone Comparative Statics without Independence},
author = {Collin Raymond and Yangwei Song},
journal= {arXiv preprint arXiv:2601.10664},
year = {2026}
}