We consider a set E of m indivisible goods and a set N consisting of n≥2 agents. The paper shows that if two agents have \textit{arbitrary} set monotonic valuation functions and the remaining agents have size monotonic valuation functions, then EFX allocations always exist.
@article{arxiv.2507.09600,
title = {On the existence of EFX allocations for goods},
author = {Ujjwal Kumar and Souvik Roy},
journal= {arXiv preprint arXiv:2507.09600},
year = {2025}
}