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Variable population welfare and poverty orderings satisfying replication properties

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  • Claudio Zoli

    (Department of Economics (University of Verona))

Abstract

We 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.

Suggested Citation

  • Claudio Zoli, 2009. "Variable population welfare and poverty orderings satisfying replication properties," Working Papers 69/2009, University of Verona, Department of Economics.
    • Handle: RePEc:ver:wpaper:69/2009
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    References listed on IDEAS

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    Cited by:

    1. Marc Fleurbaey & Domenico Moramarco & Vito Peragine, "undated". "Measuring inequality and welfare when some inequalities matter more than others," Working Papers ecineq-, ECINEQ, Society for the Study of Economic Inequality.
    2. S. Subramanian & Diganta Mukherjee, 2018. "On Intermediate Headcount Indices Of Poverty," Bulletin of Economic Research, Wiley Blackwell, vol. 70(4), pages 443-451, October.
    3. Subramanian S., 2017. "On Comprehensively Intermediate Measures of Inequality and Poverty, with an Illustrative Application to Global Data," Journal of Globalization and Development, De Gruyter, vol. 8(2), pages 1-18, December.
    4. Walter Bossert & Susumu Cato & Kohei Kamaga, 2023. "Thresholds, critical levels, and generalized sufficientarian principles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 1099-1139, May.
    5. Sunil Rajpal & Rockli Kim & Lathan Liou & William Joe & S. V. Subramanian, 2020. "Does the Choice of Metric Matter for Identifying Areas for Policy Priority? An Empirical Assessment Using Child Undernutrition in India," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 152(3), pages 823-841, December.

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    More about this item

    Keywords

    Variable Population Social Choice; Population Replication; Welfare Measurement; Poverty Measurement.;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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