Paper Info
Title
Group order preservation and the proportional rule for the adjudication of conflicting claims
Abstract
We investigate the existence of rules for the adjudication of conflicting claims satisfying ‘group order preservation’: given two groups of claimants, suppose that the sum of the claims of the members of the first group is greater than or equal to the sum of the claims of the members of the second group. Then, similar inequalities should hold for the sums of the awards to the members of the two groups, and for the sums of the losses incurred by the members of two groups. The property is easily satisfied. We then combine it with two others. First is ‘claims continuity’: the chosen awards vector should vary continuously with the claims vector. Second is ‘consistency’: the awards vector chosen for each problem should be ‘in agreement’ with the awards vector chosen for each problem derived from it by imagining some of the claimants receiving their awards and leaving. We show that only the proportional rule satisfies all three requirements. This characterization holds even if the number of potential claimants is as low as 3. We also offer a version of the characterization for a variant of the model in which the set of claimants is modelled as a continuum.
Year
DOI
Venue
2002
10.1016/S0165-4896(02)00038-0
Mathematical Social Sciences
Keywords
DocType
Volume
Conflicting claims,Group order preservation,Replication invariance,Consistency,Proportional rule
Journal
44
Issue
ISSN
Citations 
3
0165-4896
11
PageRank 
References 
Authors
1.31
3
2
Name
Order
Citations
PageRank
Christopher P. Chambers17516.57
William Thomson218021.01