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Non-Existence of PMMS Allocations and a $4/3$-PMMS Guarantee for Additive Chores
We study pairwise maximin share (PMMS) fairness for indivisible items with additive preferences. We give a polynomial-time reduction from chores to goods that preserves the existence of a PMMS allocation. Together with known nonexistence results for chores, this yields nonexistence for additive good
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