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Priority Rules and Other Inequitable Rationing Methods

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  • Moulin, Herv�

Abstract

In a rationing problem, each agent demands a quantity of a certain commodity and the available resources fall short of total demand. A rationing method solves this problem at every level of resources and individual demands. We impose three axioms: Consistency (with respect to variations of the set of agents), Distributivity, and Distributivity (with respect to variations of the available resources). In the model where the commodity comes in indivisible units, the three axioms characterize the family of priority rules, where individual demands are met lexicographically according to an exogeneous ordering of the agents. In the (more familiar) model where the commodity is divisible, these three axioms plus Scale Invariance(independence of the measurement unit(characterize a rich family of methods. It contains exactly three equitable methods, giving equal shares to equal demands: these are the familiar proportional, uniform gains and uniform losses methods. The inequitable methods in the family partition the agents into priority classes; within each class, they use either the proportional method or an asymmetric weighted version of the uniform gains or uniform losses methods.

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Bibliographic Info

Paper provided by Duke University, Department of Economics in its series Working Papers with number 98-03.

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Date of creation: 1998
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Publication status: Published in ECONOMETRICA, Vol. 68, 2000, pages 643-684
Handle: RePEc:duk:dukeec:98-03

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Postal: Department of Economics Duke University 213 Social Sciences Building Box 90097 Durham, NC 27708-0097
Phone: (919) 660-1800
Fax: (919) 684-8974
Web page: http://econ.duke.edu/

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