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Rationalizable solutions to pure population problems

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Author Info
Walter Bossert () (Department of Economics, University of Nottingham, University Park, Nottingham NG7 2RD, UK)
David Donaldson (Department of Economics, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1)
Charles Blackorby (Department of Economics, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1)

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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.

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Publisher Info
Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 16 (1999)
Issue (Month): 3 ()
Pages: 395-407
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Handle: RePEc:spr:sochwe:v:16:y:1999:i:3:p:395-407

Note: Received: 1 December 1997/Accepted: 26 February 1998
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Bossert, W., 1995. "Choices, Consequences, and Rationality," Working Papers 9501, University of Waterloo, Department of Economics.
  2. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1995. "Intertemporal Population Ethics: Critical-Level Utilitarian Principles," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich.
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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. [Downloadable!] (restricted)
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  4. Blackorby, C. & Bossert, W. & Donaldson, D., 1993. "Multi-Valued demand and Rational Choice in the Two-Commodity Case," UBC Departmental Archives 93-32, UBC Department of Economics.
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  5. Bossert, Walter, 1994. "Rational choice and two-person bargaining solutions," Journal of Mathematical Economics, Elsevier, vol. 23(6), pages 549-563, November. [Downloadable!] (restricted)
  6. Peters Hans & Wakker Peter, 1994. "WARP Does Not Imply SARP for More Than Two Commodities," Journal of Economic Theory, Elsevier, vol. 62(1), pages 152-160, February. [Downloadable!] (restricted)
  7. BLACKORBY, Charles & BOSSERT, Walter & DONALDSON, David, 2006. "Population Ethics," Cahiers de recherche 2006-15, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
  8. Lensberg, Terje, 1987. "Stability and Collective Rationality," Econometrica, Econometric Society, vol. 55(4), pages 935-61, July. [Downloadable!] (restricted)
  9. Baigent, Nick & Gaertner, Wulf, 1996. "Never Choose the Uniquely Largest: A Characterization," Economic Theory, Springer, vol. 8(2), pages 239-49, August.
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  10. Blackorby, Charles & Donaldson, David, 1984. "Social criteria for evaluating population change," Journal of Public Economics, Elsevier, vol. 25(1-2), pages 13-33, November. [Downloadable!] (restricted)
  11. Bossert, Walter, 1993. "Continuous Choice Functions and the Strong Axiom of Revealed Preference," Economic Theory, Springer, vol. 3(2), pages 379-85, April.
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  12. 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. [Downloadable!] (restricted)
  13. Sen, Amartya K, 1971. "Choice Functions and Revealed Preference," Review of Economic Studies, Blackwell Publishing, vol. 38(115), pages 307-17, July. [Downloadable!] (restricted)
  14. Bossert, Walter, 1990. "Social evaluation with variable population size: an alternative concept," Mathematical Social Sciences, Elsevier, vol. 19(2), pages 143-158, April. [Downloadable!] (restricted)
  15. Sen, Amartya, 1993. "Internal Consistency of Choice," Econometrica, Econometric Society, vol. 61(3), pages 495-521, May. [Downloadable!] (restricted)
  16. Peters, Hans & Wakker, Peter, 1991. "Independence of Irrelevant Alternatives and Revealed Group Preferences," Econometrica, Econometric Society, vol. 59(6), pages 1787-1801, November. [Downloadable!] (restricted)
  17. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1996. "Leximin population ethics," Mathematical Social Sciences, Elsevier, vol. 31(2), pages 115-131, April. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Andrikopoulos, Athanasios, 2009. "Szpilrajn-type theorems in economics," MPRA Paper 14345, University Library of Munich, Germany. [Downloadable!]
  2. Andrew McKay & Oliver Morrissey & Charlotte Vaillant, . "Aggregate Export and Food Crop Supply Response in Tanzania," Discussion Papers 98/4, University of Nottingham, CREDIT. [Downloadable!]
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