Copyright © 2004 Elsevier Inc. All rights reserved.
Convergence under replication of rules to adjudicate conflicting claims
Received 11 June 2002.
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Abstract
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] behaves 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.
Author Keywords: Claims problems; Replication; Random arrival rule; Proportional rule; Minimal overlap rule; Constrained equal losses rule







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