Explicit symmetric counterexamples show EFX allocations do not exist for submodular valuations and that α-EFX cannot be guaranteed above 0.89 for subadditive valuations in three-agent eight-good settings.
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Counterexamples to EFX for Submodular and Subadditive Valuations
Explicit symmetric counterexamples show EFX allocations do not exist for submodular valuations and that α-EFX cannot be guaranteed above 0.89 for subadditive valuations in three-agent eight-good settings.