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The Principle of Strong Kiminishing Transfer

Author

Listed:
  • Chateauneuf, A.
  • Gajdos, T.
  • Wilthien, P.-H.

Abstract

In a seminal paper, Kolm [14] introduces the principle diminishing transfer. This principle requires that a transfert from an individual with income x to one with income x - D(D > 0) has a greater impact on social welfare the lower x is. On the other hand Mehran [15] and Kakwani [11] introduced another principle, namely the principle of dual diminishing transfer, which states that a transfer from an individual with rank i to one with rank (i - p) has a greater impact the lower i is. We give here necessary and sufficient conditions for a decision maker who behaves in accordance with dual Yaari's model to respect the principle of dual diminishing transfer. Unfortunately, it appears that if a decision maker who behaves in accordance with the RDEU model respects the principle of diminishing transfer, then he behaves in accordance with the EU model.

Suggested Citation

  • Chateauneuf, A. & Gajdos, T. & Wilthien, P.-H., 1999. "The Principle of Strong Kiminishing Transfer," Papiers d'Economie Mathématique et Applications 1999-96, Université Panthéon-Sorbonne (Paris 1).
    • Handle: RePEc:fth:pariem:1999-96
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    2. Mornet, Pauline & Zoli, Claudio & Mussard, Stéphane & Sadefo-Kamdem, Jules & Seyte, Françoise & Terraza, Michel, 2013. "The (α, β)-multi-level α-Gini decomposition with an illustration to income inequality in France in 2005," Economic Modelling, Elsevier, vol. 35(C), pages 944-963.
    3. Guido Erreygers & Roselinde Kessels, 2017. "Socioeconomic Status and Health: A New Approach to the Measurement of Bivariate Inequality," IJERPH, MDPI, vol. 14(7), pages 1-23, June.
    4. Peter Lambert, & Giuseppe Lanza, 2003. "The effect on inequality of changing one or two incomes," IFS Working Papers W03/15, Institute for Fiscal Studies.
    5. Fabio Maccheroni & Pietro Muliere & Claudio Zoli, 2005. "Inverse stochastic orders and generalized Gini functionals," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 529-559.
    6. Eeckhoudt, Louis R. & Laeven, Roger J.A. & Schlesinger, Harris, 2020. "Risk apportionment: The dual story," Journal of Economic Theory, Elsevier, vol. 185(C).
    7. Stéphane Mussard, 2007. "Between-Group Pigou Dalton Transfers," Cahiers de recherche 07-06, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    8. Stefananescu, Stefan, 2008. "Measuring the Socio-Economic Bipolarization Phenomenon," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 5(1), pages 149-161, March.
    9. Dubois, Marc, 2022. "Dominance criteria on grids for measuring competitive balance in sports leagues," Mathematical Social Sciences, Elsevier, vol. 115(C), pages 1-10.
    10. Uberti, Pierpaolo & Figini, Silvia, 2010. "How to measure single-name credit risk concentrations," European Journal of Operational Research, Elsevier, vol. 202(1), pages 232-238, April.
    11. Paul Makdissi & Stéphane Mussard, 2008. "Analyzing the impact of indirect tax reforms on rank-dependent social welfare functions: a positional dominance approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(3), pages 385-399, April.
    12. Wakker, Peter P., 2005. "Decision-foundations for properties of nonadditive measures: general state spaces or general outcome spaces," Games and Economic Behavior, Elsevier, vol. 50(1), pages 107-125, January.
    13. Michel Le Breton & Eugenio Peluso, 2009. "Third-degree stochastic dominance and inequality measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 7(3), pages 249-268, September.
    14. Rolf Aaberge, 2009. "Ranking intersecting Lorenz curves," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 235-259, August.
    15. Stéphane Mussard, 2007. "La décomposition des mesures d’inégalité en sources de revenu : méthodes et applications," L'Actualité Economique, Société Canadienne de Science Economique, vol. 83(3), pages 415-445.
    16. Alejandro Corvalan, 2014. "The Impact of a Marginal Subsidy on Gini Indices," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 60(3), pages 596-603, September.
    17. Makdissi Paul & Seif Edine Mohamad, 2020. "Is the Elimination of Food Subsidies the Right Policy to Address Lebanon’s Public Finance Crisis?," Review of Middle East Economics and Finance, De Gruyter, vol. 16(2), pages 1-17, August.
    18. Marc Dubois, 2020. "Dominance Criteria on Grids for Measuring Seasonal Competitive Imbalance in Sports Leagues," Working Papers hal-02617635, HAL.
    19. Marc Dubois, 2022. "Dominance criteria on grids for measuring competitive balance in sports leagues," Post-Print hal-04692979, HAL.
    20. W. Henry Chiu, 2021. "Intersecting Lorenz curves and aversion to inverse downside inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(3), pages 487-508, April.
    21. Claudio Zoli, 2002. "Inverse stochastic dominance, inequality measurement and Gini indices," Journal of Economics, Springer, vol. 77(1), pages 119-161, December.
    22. Bosmans, Kristof, 2007. "Income inequality, quasi-concavity, and gradual population shifts," Mathematical Social Sciences, Elsevier, vol. 53(1), pages 29-45, January.
    23. Peter Lambert & Giuseppe Lanza, 2006. "The effect on inequality of changing one or two incomes," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 4(3), pages 253-277, December.
    24. Francesco Andreoli & Claudio Zoli, 2020. "From unidimensional to multidimensional inequality: a review," METRON, Springer;Sapienza Università di Roma, vol. 78(1), pages 5-42, April.
    25. Rodolfo Hoffmann & Diego Camargo Botassio, 2020. "Sensitivity of inequality measures considering regressive transfers with fixed relative income distance," METRON, Springer;Sapienza Università di Roma, vol. 78(3), pages 279-296, December.

    More about this item

    Keywords

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    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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