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On the existence of EFX allocations for goods

Ujjwal Kumar and Souvik Roy

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Abstract: We consider a set $E$ of $m$ indivisible goods and a set $N$ consisting of $n \geq 2$ 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.

Date: 2025-07
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