Rationalizable solutions to pure population problems |
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| Authors: | Charles Blackorby Walter Bossert David Donaldson |
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| Institution: | (1) Department of Economics, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1, CA;(2) GREQAM, 2 rue de la Charité, F-13002 Marseille, France, FR;(3) Department of Economics, University of Nottingham, University Park, Nottingham NG7 2RD, UK (e-mail: lezwb@len1.econ.nottingham.ac.uk), GB |
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| 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.
Received: 1 December 1997/Accepted: 26 February 1998 |
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