arXiv Artificial Intelligence

EFX Allocation In (Multi)Hypergraphs

2 hours ago 05.08.2026 07:00 👁 2 views
EFX Allocation In (Multi)Hypergraphs

Quick summary

arXiv:2608.03171v1 Announce Type: cross Abstract: 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

Key takeaways

  • arXiv:2608.03171v1 Announce Type: cross Abstract: 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.

Why it matters

“EFX Allocation In (Multi)Hypergraphs” highlights the need for repeatable measurement rather than a single impressive demonstration. Independent validation across datasets and clearly stated limitations determine whether a result can guide product decisions.

Kaynak sitede devamını oku: arXiv Artificial Intelligence ↗