Convergence under replication of rules to adjudicate conflicting claims

We study the behavior of rules for the adjudication of conflicting claims when there is a large number of claimants with small claims. We model such situations by replicating some basic problem. We show that under replication, the random arrival rule [Math. Soc. Sci. 2 (1982) 345] behave's like the proportional rule. the rule that is the most often recommended in this context. Also. under replication, the minimal overlap rule [Math. Soc. Sci. 2 (1982) 345] behaves like the constrained equal losses rule, the rule that selects a division at which all claimants experience equal losses subject to no-one receiving a negative amount. (C) 2004 Elsevier Inc. All rights reserved.