A Better-than-$e^{1/e}$ Approximation Algorithm for Nash Social Welfare under Additive Valuations

We present an $(e^{1/e} - c)$-approximation algorithm for maximizing Nash social welfare under additive valuations, for some constant $c > 0$. This result improves upon the previous best-known approximation factor of $e^{1/e}$ [Barman, Krishnamurthy and Vaish, EC 2018].