Variable population welfare and poverty orderings satisfying replication properties
AbstractWe discuss and compare the variable population axioms of Critical Level (CL) and Population Replication Invariance (PRI) introduced in the economic and philosophical literature for evaluating distributions with different population size. We provide a common framework for analyzing these competing views considering a strengthening of the Population Replication Principle (PRP) based on Dalton's (1920) "principle of proportionate additions to persons" that requires an ordering defined over populations of the same size to be invariant w.r.t. replication of the distributions. The strong version of PRP extends the invariance condition to hold also when distributions of different population size are compared. We suggest ethically meaningful general specifications of the invariance requirement underlying the Strong PRP and characterize the associated classes of parameterized evaluation functions that include CL principles and PRI properties. Moreover, we identify a general class of evaluation functions satisfying the Strong PRP: the social evaluation ordering will be represented by the simple formula considering the product of the population size times a strictly monotonic function of the Equally Distributed Equivalent Income (EDEI). Interesting ethical properties are shown to be associated with the shape of the function transforming the EDEI. Implications for poverty measurement are investigated.
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Bibliographic InfoPaper provided by University of Verona, Department of Economics in its series Working Papers with number 69/2009.
Date of creation: Dec 2009
Date of revision:
Variable Population Social Choice; Population Replication; Welfare Measurement; Poverty Measurement.;
Find related papers by JEL classification:
- D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-01-16 (All new papers)
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- Bossert, Walter, 1990. "Population replications and ethical poverty measurement," Mathematical Social Sciences, Elsevier, vol. 20(3), pages 227-238, December.
- Blakorby, Charles & Donaldson, David, 1980. "Ethical Indices for the Measurement of Poverty," Econometrica, Econometric Society, vol. 48(4), pages 1053-60, May.
- Ng, Yew-Kwang, 1989. "What Should We Do About Future Generations?," Economics and Philosophy, Cambridge University Press, vol. 5(02), pages 235-253, October.
- Fields, Gary S & Fei, John C H, 1978. "On Inequality Comparisons," Econometrica, Econometric Society, vol. 46(2), pages 303-16, March.
- Blackorby, Charles & Bossert, Walter & Donaldson, David, 1995. "Intertemporal Population Ethics: Critical-Level Utilitarian Principles," Econometrica, Econometric Society, vol. 63(6), pages 1303-20, November.
- Bossert, Walter, 1990. "Social evaluation with variable population size: an alternative concept," Mathematical Social Sciences, Elsevier, vol. 19(2), pages 143-158, April.
- Satya Ranjan Chakravarty, 1983. "Ethically Flexible Measures of Poverty," Canadian Journal of Economics, Canadian Economics Association, vol. 16(1), pages 74-85, February.
- Foster, James E & Shorrocks, Anthony F, 1988. "Poverty Orderings," Econometrica, Econometric Society, vol. 56(1), pages 173-77, January.
- Clark, Stephen & Hemming, Richard & Ulph, David, 1981. "On Indices for the Measurement of Poverty," Economic Journal, Royal Economic Society, vol. 91(362), pages 515-26, June.
- Carlson, Erik, 1998. "Mere Addition and Two Trilemmas of Population Ethics," Economics and Philosophy, Cambridge University Press, vol. 14(02), pages 283-306, October.
- Blackorby, Charles & Donaldson, David, 1984. "Social criteria for evaluating population change," Journal of Public Economics, Elsevier, vol. 25(1-2), pages 13-33, November.
- 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.
- Donaldson, David & Weymark, John A., 1980. "A single-parameter generalization of the Gini indices of inequality," Journal of Economic Theory, Elsevier, vol. 22(1), pages 67-86, February.
- Arrhenius, Gustaf, 2000. "An Impossibility Theorem for Welfarist Axiologies," Economics and Philosophy, Cambridge University Press, vol. 16(02), pages 247-266, October.
- Blackorby,Charles & Bossert,Walter & Donaldson,David J., 2005.
"Population Issues in Social Choice Theory, Welfare Economics, and Ethics,"
Cambridge University Press, number 9780521825511, December.
- Blackorby,Charles & Bossert,Walter & Donaldson,David J., 2005. "Population Issues in Social Choice Theory, Welfare Economics, and Ethics," Cambridge Books, Cambridge University Press, number 9780521532587, December.
- Kundu, Amitabh & Smith, Tony E, 1983. "An Impossibility Theorem on Poverty Indices," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(2), pages 423-34, June.
- John BROOME, 1992. "The Value of Living," Discussion Papers (REL - Recherches Economiques de Louvain) 1992021, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- Kanbur, Ravi, 2001.
"Economic Policy, Distribution and Poverty: The Nature of Disagreements,"
Elsevier, vol. 29(6), pages 1083-1094, June.
- Kanbur Ravi, 2001. "Economic Policy, Distribution and Poverty: The Nature of Disagreements," Peace Economics, Peace Science, and Public Policy, De Gruyter, vol. 7(2), pages 1-26, April.
- Chakravarty, Satya R. & Kanbur, Ravi & Mukherjee, Diganta, 2002.
"Population Growth and Poverty Measurement,"
127303, Cornell University, Department of Applied Economics and Management.
- Blackorby, Charles & Bossert, Walter & Donaldson, David, 2000.
"Population Principles with Number-Dependent Critical Levels,"
2000-06, Rice University, Department of Economics.
- Blackorby, Charles & Bossert, Walter & Donaldson, David, 2002. " Population Principles with Number-Dependent Critical Levels," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 4(3), pages 347-68.
- Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
- Charles Blackorby & Walter Bossert & David Donaldson & Marc Fleurbaey, 1998. "Critical levels and the (reverse) repugnant conclusion," Journal of Economics, Springer, vol. 67(1), pages 1-15, February.
- Zheng, Buhong, 1997. " Aggregate Poverty Measures," Journal of Economic Surveys, Wiley Blackwell, vol. 11(2), pages 123-62, June.
- Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
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