A characterization of a family of rules for the adjudication of conflicting claims |
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| Institution: | 1. Division of Gastroenterology, Department of Medicine, University of Pennsylvania Perelman School of Medicine, Philadelphia, Pennsylvania, USA;2. Center for Clinical Epidemiology and Biostatistics, University of Pennsylvania Perelman School of Medicine, Philadelphia, Pennsylvania, USA;3. University of Pennsylvania Perelman School of Medicine, Philadelphia, Pennsylvania, USA;4. Gastroenterology Department, Hospital de Sant Pau, Universitat Autònoma de Barcelona, Barcelona, Spain;5. Department of Pathology, Perelman School of Medicine, University of Pennsylvania, Philadelphia, PA, USA;6. Wilmott Center for Endoscopic Innovation, Research, and Training;1. Sussex Cancer Centre, Royal Sussex County Hospital, Brighton, UK;2. MRC Clinical Trials Unit at UCL, London, UK;1. Geoffrey Hyman Consultancy, UK;2. RAND Europe, UK;1. Chang Gung University, No. 259, Wenhua 1st Rd., Guishan Dist., Taoyuan City 33302, Taiwan, ROC;2. National Chi Nan University, No. 1, University Rd, Puli, Nantou County 54561, Taiwan, ROC |
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| Abstract: | We consider the problem of adjudicating conflicting claims, and characterize the family of rules satisfying four standard invariance requirements, homogeneity, two composition properties, and consistency. It takes as point of departure the characterization of the family of two-claimant rules satisfying the first three requirements, and describes the restrictions imposed by consistency on this family and the further implications of this requirement for problems with three or more claimants. The proof, which is an alternative to Moulinʼs original proof Moulin, H., 2000. Priority rules and other asymmetric rationing methods. Econometrica 68, 643–684], is based on a general method of constructing consistent extensions of two-claimant rules Thomson, W., 2007. On the existence of consistent rules to adjudicate conflicting claims: a constructive geometric approach. Rev. Econ. Design 11, 225–251], which exploits geometric properties of paths of awards, seen in their entirety. |
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| Keywords: | Claims problems Consistent extensions Proportional rule CEA rule CEL rule |
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