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Tight Approximation Algorithms for p-Mean Welfare Under Subadditive Valuations
[article]
2020
arXiv
pre-print
We develop polynomial-time algorithms for the fair and efficient allocation of indivisible goods among n agents that have subadditive valuations over the goods. We first consider the Nash social welfare as our objective and design a polynomial-time algorithm that, in the value oracle model, finds an 8n-approximation to the Nash optimal allocation. Subadditive valuations include XOS (fractionally subadditive) and submodular valuations as special cases. Our result, even for the special case of
arXiv:2005.07370v1
fatcat:mmvnsebpqff33alnppay35gqla