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arXiv · 1711.04066

Communication Complexity of Discrete Fair Division

Benjamin Plaut·Tim Roughgarden
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Abstract

We initiate the study of the communication complexity of fair division with indivisible goods. We focus on some of the most well-studied fairness notions (envy-freeness, proportionality, and approximations thereof) and valuation classes (submodular, subadditive and unrestricted). Within these parameters, our results completely resolve whether the communication complexity of computing a fair allocation (or determining that none exist) is polynomial or exponential (in the number of goods), for every combination of fairness notion, valuation class, and number of players, for both deterministic and randomized protocols.

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Benjamin Plaut, Tim Roughgarden. 2017-11-11. Communication Complexity of Discrete Fair Division. https://doi.org/10.1137/19m1244305

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