Log-concave functions and transformations thereof
Theoretical Economics
2025-12-17 v2
Abstract
I summarize Bagnoli and Bergstrom (2005)'s review on log-concave functions, make several corrections, and augment the discussion with further results that can be useful in obtaining monotone hazard rate. I also provide an application of monopoly pricing, where strict logconcavity of demand curve implies strict concavity of the revenue function.
Cite
@article{arxiv.2512.07768,
title = {Log-concave functions and transformations thereof},
author = {Dihan Zou},
journal= {arXiv preprint arXiv:2512.07768},
year = {2025}
}