EFX Allocation

EFX allocation, aiming for envy-free division of indivisible goods up to one item, is a central problem in fair division research. Current research focuses on identifying conditions under which EFX allocations are guaranteed to exist, exploring variations like approximate EFX, and developing algorithms for finding such allocations under specific valuation structures (e.g., binary, additive valuations with limited value ranges). These investigations leverage graph-theoretic approaches and analyze the impact of restrictions on agent valuations or the number of agents. Advances in this area contribute to a deeper understanding of fairness in resource allocation and have implications for various applications, including computational social choice and multi-agent systems.