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A class of proximity-sensitive measures of relative deprivation

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  • Stark, Oded
  • Bielawski, Jakub
  • Falniowski, Fryderyk

Abstract

We introduce a new class of generalized measures of relative deprivation. The class takes the form of a power mean of order p. A characteristic of the class is that depending on the value of the proximity-sensitive parameter p, the class is capable of accommodating both a decreasing weight (the case of p>1), and an increasing weight (the case of p∈(0,1)) accorded to given changes in the incomes of the individuals who are wealthier than the reference individual, depending on their proximity in the income distribution to the reference individual.

Suggested Citation

  • Stark, Oded & Bielawski, Jakub & Falniowski, Fryderyk, 2017. "A class of proximity-sensitive measures of relative deprivation," Economics Letters, Elsevier, vol. 160(C), pages 105-110.
    • Handle: RePEc:eee:ecolet:v:160:y:2017:i:c:p:105-110
    DOI: 10.1016/j.econlet.2017.08.002
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    References listed on IDEAS

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    1. Blackorby, Charles & Donaldson, David, 1982. "Ratio-Scale and Translation-Scale Full Interpersonal Comparability without Domain Restrictions: Admissible Social-Evaluation Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(2), pages 249-268, June.
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    3. Obloj , Tomasz & Zenger , Todd, 2015. "Incentives, Social Comparison Costs, and the Proximity of Envy's Object," HEC Research Papers Series 1085, HEC Paris.
    4. Oded Stark & Walter Hyll, 2011. "On the Economic Architecture of the Workplace: Repercussions of Social Comparisons among Heterogeneous Workers," Journal of Labor Economics, University of Chicago Press, vol. 29(2), pages 349-375.
    5. Quintana-Domeque, Climent & Wohlfart, Johannes, 2016. "“Relative concerns for consumption at the top”: An intertemporal analysis for the UK," Journal of Economic Behavior & Organization, Elsevier, vol. 129(C), pages 172-194.
    6. Bossert, Walter & D’Ambrosio, Conchita, 2014. "Proximity-sensitive individual deprivation measures," Economics Letters, Elsevier, vol. 122(2), pages 125-128.
    7. Lucio Esposito, 2010. "Upper Boundedness For The Measurement Of Relative Deprivation," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(3), pages 632-639, September.
    8. Shlomo Yitzhaki, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(2), pages 321-324.
    9. Chakravarty, S. R. & Chakraborty, A. B., 1984. "On indices of relative deprivation," Economics Letters, Elsevier, vol. 14(2-3), pages 283-287.
    10. Walter Bossert & Conchita D’Ambrosio, 2007. "Dynamic Measures of Individual Deprivation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 77-88, January.
    11. You-qiang Wang & Kai-yuen Tsui, 2000. "A new class of deprivation-based generalized Gini indices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(2), pages 363-377.
    12. John D. Hey & Peter J. Lambert, 1980. "Relative Deprivation and the Gini Coefficient: Comment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(3), pages 567-573.
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    Cited by:

    1. Oded Stark, 2020. "Relative deprivation as a cause of risky behaviors," The Journal of Mathematical Sociology, Taylor & Francis Journals, vol. 44(3), pages 138-146, July.
    2. Oded Stark & Marcin Jakubek & Krzysztof Szczygielski, 2020. "The social preferences of the native inhabitants, and the decision how many asylum seekers to admit," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 156(1), pages 133-152, February.
    3. Stark, Oded & Kosiorowski, Grzegorz, 2024. "An optimal allocation of asylum seekers," Journal of Economic Behavior & Organization, Elsevier, vol. 220(C), pages 1-11.
    4. Stark, Oded, 2025. "In Search of Neural Correlates of Social Comparisons: An Integrative Research Design," IZA Discussion Papers 18299, IZA Network @ LISER.
    5. Stark, Oded & Zawojska, Ewa & Kohler, Wilhelm & Szczygielski, Krzysztof, 2018. "An adverse social welfare effect of a doubly gainful trade," Journal of Development Economics, Elsevier, vol. 135(C), pages 77-84.
    6. Oded Stark & Wiktor Budzinski, 2021. "A social‐psychological reconstruction of Amartya Sen’s measures of inequality and social welfare," Kyklos, Wiley Blackwell, vol. 74(4), pages 552-566, November.
    7. Stark, Oded, 2021. "An optimal split of school classes," Economic Analysis and Policy, Elsevier, vol. 69(C), pages 668-675.
    8. Stark, Oded & Budzinski, Wiktor, 2024. "The merger of populations as a revision of comparison space: Repercussions for social stress and income inequality," Economics Letters, Elsevier, vol. 237(C).
    9. Oded Stark & Jakub Bielawski & Fryderyk Falniowski, 2024. "Measuring income inequality in social networks," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 22(2), pages 333-356, June.
    10. Stark, Oded, 2024. "The modification of social space as a tool for lowering social stress," Economics & Human Biology, Elsevier, vol. 53(C).
    11. Stark, Oded, "undated". "Risk-laden migration as a response to relative deprivation: A hypothesis," Discussion Papers 329580, University of Bonn, Center for Development Research (ZEF).
    12. Walter Bossert & Conchita D’Ambrosio, 2020. "Losing ground in the income hierarchy: relative deprivation revisited," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 18(1), pages 1-12, March.
    13. Amany A. El Anshasy & Mrittika Shamsuddin & Marina-Selini Katsaiti, 2023. "Financial Wellbeing and International Migration Intentions: Evidence from Global Surveys," Journal of Happiness Studies, Springer, vol. 24(7), pages 2261-2289, October.
    14. Oded Stark & Grzegorz Kosiorowski, 2021. "Turning relative deprivation into a performance incentive device," The Journal of Mathematical Sociology, Taylor & Francis Journals, vol. 45(1), pages 22-36, January.
    15. Jakub Bielawski & {L}ukasz Cholewa & Fryderyk Falniowski, 2024. "The emergence of chaos in population game dynamics induced by comparisons," Papers 2412.06037, arXiv.org, revised Apr 2025.
    16. Gero, Krisztina & Yazawa, Aki & Kondo, Naoki & Hanazato, Masamichi & Kondo, Katsunori & Kawachi, Ichiro, 2022. "Comparison of three indices of relative income deprivation in predicting health status," Social Science & Medicine, Elsevier, vol. 294(C).
    17. Stark, Oded, 2023. "On a tendency in health economics to dwell on income inequality and underestimate social stress," Economics & Human Biology, Elsevier, vol. 49(C).

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    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D33 - Microeconomics - - Distribution - - - Factor Income Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies

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