New 'Delegated Fair Division' algorithm ensures fair food donation allocation

A new paper on arXiv (2607.27743) introduces 'Delegated Fair Division,' a game-theoretic model for allocating indivisible goods when agents belong to larger central entities. Authored by Argyrios Deligkas and four collaborators, the research addresses scenarios like food donations flowing through charitable organizations: each charity acts as a representative for its affiliated recipients, whose preferences may differ. The goal is to achieve fairness simultaneously at two levels—among the centers themselves and among the individual agents they serve.

The authors define two information structures: in one, agents compare their bundles against every agent in the system; in the other, they only compare within their own center. For both cases, they provide efficient algorithms that guarantee envy-freeness at both levels. This means no center would prefer another center's allocation, and no agent would envy another's bundle under the relevant comparison scope. The work bridges delegated resource allocation and classical fair division, offering practical tools for organizational units—from corporate departments distributing shared resources to NGOs coordinating disaster relief. While the paper is theoretical, its algorithmic focus suggests implementable solutions for real-world distribution problems.