Polynomial Algorithms for Simultaneous Share-Based and Envy-Based Guarantees
We study the simultaneous achievement of share-based and envy-based fairness in the allocation of indivisible goods with nonnegative additive valuations. The AnyPrice share (APS) is a strengthening of the maximin share (MMS). A polynomial-time algorithm is known to guarantee a $2n/(3n-1)$ approximation of APS, but with...