Rationalizable solutions to pure population problems

Walter Bossert, David Donaldson and Charles Blackorby

Social Choice and Welfare, 1999, vol. 16, issue 3, 395-407

Abstract: In pure population problems, a single resource is to be distributed equally among the agents in a society, and the social planner chooses population size(s) and per-capita consumption(s) for each resource constraint and set of feasible population sizes within the domain of the solution. This paper shows that a weak condition regarding the possible choice of a zero population is necessary and sufficient for the rationalizability of a solution by a welfarist social ordering. In addition, solutions that are rationalized by critical-level generalized utilitarianism are characterized by means of a homogeneity property.

Date: 1999-05-11
Note: Received: 1 December 1997/Accepted: 26 February 1998
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