EQUITY AND THE CORE

Equal treatment of identical individuals cannot generally be guaranteed in nonreplicant economies. This has led some to label the core as inequitable. We show that a variety of fairness axioms far more stringent than equal treatment are embraced by replicant refinements of the core. Furthermore, adopting an average perspective suggests that every core allocation may be considered equitable. These results are established without the imposition of monotonicity or continuity constraints on consumer preferences.