Almost Envy-Free Allocations of Indivisible Goods or Chores with Entitlements
Max Springer,
MohammadTaghi Hajiaghayi,
Hadi Yami
Abstract:We here address the problem of fairly allocating indivisible goods or chores to n agents with weights that define their entitlement to the set of indivisible resources. Stemming from well-studied fairness concepts such as envy-freeness up to one good (EF1) and envy-freeness up to any good (EFX) for agents with equal entitlements, we present, in this study, the first set of impossibility results alongside algorithmic guarantees for fairness among agents with unequal entitlements.
Within this paper, we expand t… Show more
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