An Additive Approximation Scheme for the Nash Social Welfare Maximization with Identical Additive Valuations

@inproceedings{Inoue2022AnAA,
  title={An Additive Approximation Scheme for the Nash Social Welfare Maximization with Identical Additive Valuations},
  author={Asei Inoue and Yusuke Kobayashi},
  booktitle={International Workshop on Combinatorial Algorithms},
  year={2022}
}
We study the problem of efficiently and fairly allocating a set of indivisible goods among agents with identical and additive valuations for the goods. The objective is to maximize the Nash social welfare, which is the geometric mean of the agents’ valuations. While maximizing the Nash social welfare is NP-hard, a PTAS for this problem is presented by Nguyen and Rothe. The main contribution of this paper is to design a first additive PTAS for this problem, that is, we give a polynomial-time… 
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