• Corpus ID: 238259113

Sublinear Approximation Algorithm for Nash Social Welfare with XOS Valuations

@article{Barman2021SublinearAA,
  title={Sublinear Approximation Algorithm for Nash Social Welfare with XOS Valuations},
  author={Siddharth Barman and Anand Krishna and Pooja Kulkarni and Shivika Narang},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.00767}
}
We study the problem of allocating indivisible goods among n agents with the objective of maximizing Nash social welfare (NSW). This welfare function is defined as the geometric mean of the agents’ valuations and, hence, it strikes a balance between the extremes of social welfare (arithmetic mean) and egalitarian welfare (max-min value). Nash social welfare has been extensively studied in recent years for various valuation classes. In particular, a notable negative result is known when the… 

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