Abstract
We present characterizations of the minimal and the maximal transfer rules by imposing various axioms specifying how a rule should respond to changes in the waiting cost or population. Together with basic axioms, the minimal transfer rule is the only rule satisfying independence of preceding costs, or negative cost monotonicity and last-agent equal responsibility, or balanced consistency, or balanced cost reduction. On the other hand, the maximal transfer rule is the only rule satisfying independence of following costs, or positive cost monotonicity and first-agent equal responsibility, or balanced consistency under constant completion time.
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