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Rationalizable Solutions to Pure Population Problems

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  • Charles Blackorby,
  • Walter Bossert
  • David Donaldson,

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.
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Suggested Citation

  • Charles Blackorby, & Walter Bossert & David Donaldson,, "undated". "Rationalizable Solutions to Pure Population Problems," Discussion Papers 97/12, University of Nottingham, School of Economics.
  • Handle: RePEc:not:notecp:97/12
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    References listed on IDEAS

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    1. BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2006. "Population Ethics," Cahiers de recherche 2006-15, Universite de Montreal, Departement de sciences economiques.
      • BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2006. "Population Ethics," Cahiers de recherche 14-2006, Centre interuniversitaire de recherche en ├ęconomie quantitative, CIREQ.
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    3. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1997. "Birth-Date Dependent Population Ethics: Critical-Level Principles," Journal of Economic Theory, Elsevier, vol. 77(2), pages 260-284, December.
    4. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1996. "Leximin population ethics," Mathematical Social Sciences, Elsevier, vol. 31(2), pages 115-131, April.
    5. Bossert, Walter, 1994. "Rational choice and two-person bargaining solutions," Journal of Mathematical Economics, Elsevier, vol. 23(6), pages 549-563, November.
    6. Ng, Yew-Kwang, 1986. "Social criteria for evaluating population change: An alternative to the Blackorby-Donaldson criterion," Journal of Public Economics, Elsevier, vol. 29(3), pages 375-381, April.
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    Cited by:

    1. Andrew McKay & Oliver Morrissey & Charlotte Vaillant, "undated". "Aggregate Export and Food Crop Supply Response in Tanzania," Discussion Papers 98/4, University of Nottingham, CREDIT.
    2. Andrikopoulos, Athanasios, 2009. "Szpilrajn-type theorems in economics," MPRA Paper 14345, University Library of Munich, Germany.
    3. Athanasios Andrikopoulos, 2017. "Generalizations of Szpilrajn's Theorem in economic and game theories," Papers 1708.04711, arXiv.org.

    More about this item

    JEL classification:

    • D60 - Microeconomics - - Welfare Economics - - - General
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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