Draft rules are the only allocation rules satisfying RP, EF1, NW, and RM; they are incompatible with strategy-proofness but satisfy maxmin strategy-proofness.
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Axiomatic Characterizations of Draft Rules
Draft rules are the only allocation rules satisfying RP, EF1, NW, and RM; they are incompatible with strategy-proofness but satisfy maxmin strategy-proofness.