Abstract:Envy freeness is one of the most widely studied notions in fair division. Because envy-free allocations do not always exist when items are indivisible, several relaxations have been considered. Among them, possibly the most compelling notion is envy freeness up to any item (EFX). Informally speaking, EFX requires that no agent i envies another agent j after the removal of any item in j’s bundle. The existence of EFX allocations is a major open problem. We study the existence of EFX allocations when agents have… Show more
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