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The Principle of Strong Diminishing Transfer

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  • Chateauneuf, Alain
  • Gajdos, Thibault
  • Wilthien, Pierre-Henry

Abstract

We reconsider the principles of diminishing transfer (introduced by Kolm [1976]) and dual diminishing transfer (introduced by Mehran [1976]). It appears that if a Rank Dependent Expected Utility (RDEU) maximizer respects the principle of diminishing (resp. dual diminishing) transfer, then he behaves in accordance with the Expected Utility model (resp. Yaari's dual model).This leads us to define the principle of strong diminishing transfer, which is a combination of the principles of diminishing and dual diminishing transfer. We give necessary conditions for a RDEU maximizer to respect this principle.These results are applied to the problem of inequality measurement.
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  • Chateauneuf, Alain & Gajdos, Thibault & Wilthien, Pierre-Henry, 2002. "The Principle of Strong Diminishing Transfer," Journal of Economic Theory, Elsevier, vol. 103(2), pages 311-333, April.
  • Handle: RePEc:eee:jetheo:v:103:y:2002:i:2:p:311-333
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    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.
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    11. Dubois, Marc, 2022. "Dominance criteria on grids for measuring competitive balance in sports leagues," Mathematical Social Sciences, Elsevier, vol. 115(C), pages 1-10.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Mussard, Stéphane, 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, septembre.
    17. 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.
    18. Marc Dubois, 2020. "Dominance Criteria on Grids for Measuring Seasonal Competitive Imbalance in Sports Leagues," Working Papers hal-02617635, HAL.
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    20. Bosmans, Kristof, 2007. "Income inequality, quasi-concavity, and gradual population shifts," Mathematical Social Sciences, Elsevier, vol. 53(1), pages 29-45, January.
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    23. 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.

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    More about this item

    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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