Indifference and the uniform rule

We consider private good economies with single-plateaued preferences. We sh ow that the uniform rule is the only allocation rule satisfying indifferenc e (in terms of welfare), strategy-proofness and no-envy. Indifference (in t erms of welfare) means that if one allocation is recommended, then another allocation is recommended if and only if all agents are indifferent between these allocations. (C) 2000 Elsevier Science S.A. All rights reserved.