We consider the problem of fair allocation with subsidy when agents have weighted entitlements. After highlighting several important differences from the unweighted cases, we present several results concerning weighted envy-freeability including general characterizations, algorithms for achieving and testing weighted envy-freeability, lower and upper bounds for worst case subsidy for non-wasteful and envy-freeable allocations, and algorithms for achieving weighted envy-freeability along with other properties.
No takes yet. Share an insight, caveat, or question.
Aziz et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: