This paper shows that the PoA in non-atomic congestion games is H{\"o}lder continuous w.r.t. combined disturbance on cost functions and demands. We then apply this result to the convergence analysis of the PoA.
@article{arxiv.2007.13979,
title = {A sensitivity analysis for the price of anarchy in non-atomic congestion games},
author = {Zijun Wu and Rolf Moehring},
journal= {arXiv preprint arXiv:2007.13979},
year = {2021}
}