Delegated Fair Division
This study addresses fair allocation of indivisible resources in hierarchical settings, such as charitable organizations distributing goods first to central agencies and then to individual recipients. Focusing on this two-tier delegated allocation scenario, the work presents the first systematic modeling framework that distinguishes between two distinct structures of individual preference information. The authors propose a polynomial-time algorithm that simultaneously guarantees envy-freeness at both the central-agency and individual levels. By integrating techniques from combinatorial optimization and fairness theory, the designed mechanism efficiently achieves two-level fairness under both information structures, offering practical applicability in real-world contexts such as food donation distribution.