The paper defines weighted-envy-freeable allocations, proves a no-positive-cycle characterization, and gives polynomial-time subsidy bounds for general, identical, and binary additive valuations; the general-additive proof has gaps.
Fair-share al locations for agents with arbitrary entitlements
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Weighted Envy Freeness With Bounded Subsidies
The paper defines weighted-envy-freeable allocations, proves a no-positive-cycle characterization, and gives polynomial-time subsidy bounds for general, identical, and binary additive valuations; the general-additive proof has gaps.