EFX Allocation In (Multi)Hypergraphs
We study fair allocations of indivisible goods among agents with heterogeneous monotone valuations. As fair we consider the allocations that are envy-free-up-to-any-good (EFX). Finding if EFX alloca- tions always exist, even for agents with additive valuations, is a major open problem in Fair Division. Christodoulou et al. (2023) introduced the (multi-hyper)graph setting, where agents and goods are represented by vertices and edges of a graph, respectively, and only the endpoints of an edge may have non-zero marginal value for it. We show that for hypergraphs with girth at least 4 and agents with general monotone valuations there always exists an EFX allocation and can be constructed in p...
| Authors | Thanasis Lianeas, Alkmini Sgouritsa, Minas Marios Sotiriou |
|---|---|
| Primary category | cs.GT |
| Published | 4 August 2026 |
| Last updated at source | 4 August 2026 |
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