Weighted Fair Division with Matroid-Rank Valuations: Monotonicity and Strategyproofness
Theoretical Economics
2023-10-10 v2 Computer Science and Game Theory
Abstract
We study the problem of fairly allocating indivisible goods to agents with weights corresponding to their entitlements. Previous work has shown that, when agents have binary additive valuations, the maximum weighted Nash welfare rule is resource-, population-, and weight-monotone, satisfies group-strategyproofness, and can be implemented in polynomial time. We generalize these results to the class of weighted additive welfarist rules with concave functions and agents with matroid-rank (also known as binary submodular) valuations.
Keywords
Cite
@article{arxiv.2303.14454,
title = {Weighted Fair Division with Matroid-Rank Valuations: Monotonicity and Strategyproofness},
author = {Warut Suksompong and Nicholas Teh},
journal= {arXiv preprint arXiv:2303.14454},
year = {2023}
}
Comments
Appears in the 16th International Symposium on Algorithmic Game Theory (SAGT), 2023