Log-concave functions and transformations thereof

Dihan Zou

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arXiv · 2512.07768

Log-concave functions and transformations thereof

Dihan Zou

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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 establishing monotone hazard rates. I also provide an application to monopoly pricing, where log-concavity of the demand curve implies strict concavity of the revenue function in quantity.

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Dihan Zou. 2026-09-21. Log-concave functions and transformations thereof. https://arxiv.org/abs/2512.07768

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