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The Existence of Maximin Share Allocations is $Δ_2^P$-complete
The maximin share (MMS) guarantee has become one of the central fairness benchmarks for allocating indivisible items. Since Kurokawa, Procaccia and Wang~[EC'14, JACM'18] showed that exact MMS allocations need not exist, a substantial literature has developed around the existence and computation of a
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