Review of Economic Design

, Volume 11, Issue 3, pp 225–251 | Cite as

On the existence of consistent rules to adjudicate conflicting claims: a constructive geometric approach

  • William ThomsonEmail author
Original Paper


For the problem of adjudicating conflicting claims, a rule is consistent if the choice it makes for each problem is always in agreement with the choice it makes for each “reduced problem” obtained by imagining that some claimants leave with their awards and reassessing the situation from the viewpoint of the remaining claimants. We develop a general technique to determine whether a given two-claimant rule admits a consistent extension to general populations, and to identify this extension if it exists. We apply the technique to a succession of examples.


Claims problems Consistent extensions Proportional rule Constrained equal awards rule Constrained equal losses rule 

JEL Classification

C79 D63 D74 


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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Department of Economics, Harkness HallUniversity of RochesterRochesterUSA

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