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The Principle of Strong Diminishing Transfer

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

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.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 103 (2002)
Issue (Month): 2 (April)
Pages: 311-333

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Handle: RePEc:eee:jetheo:v:103:y:2002:i:2:p:311-333

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Web page: http://www.elsevier.com/locate/inca/622869

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References

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  1. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
  2. 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.
  3. Hoy, M. & Davies, J., 1991. "The Normative Significance of Using Third-Degree Stochastic Dominance in Comparing Income Distributions," Working Papers 1991-8, University of Guelph, Department of Economics and Finance.
  4. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
  5. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
  6. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  7. Claudio Zoli, 1999. "Intersecting generalized Lorenz curves and the Gini index," Social Choice and Welfare, Springer, vol. 16(2), pages 183-196.
  8. Eeckhoudt, Louis & Gollier, Christian & Schneider, Thierry, 1995. "Risk-aversion, prudence and temperance: A unified approach," Economics Letters, Elsevier, vol. 48(3-4), pages 331-336, June.
  9. Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, vol. 48(2), pages 437-46, March.
  10. Shorrocks, Anthony F & Foster, James E, 1987. "Transfer Sensitive Inequality Measures," Review of Economic Studies, Wiley Blackwell, vol. 54(3), pages 485-97, July.
  11. Mehran, Farhad, 1976. "Linear Measures of Income Inequality," Econometrica, Econometric Society, vol. 44(4), pages 805-09, July.
  12. Bossert, Walter, 1990. "An axiomatization of the single-series Ginis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 82-92, February.
  13. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
  14. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
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Citations

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Cited by:
  1. Rolf Aaberge, 2004. "Ranking Intersecting Lorenz Curves," CEIS Research Paper 45, Tor Vergata University, CEIS.
  2. Michel Le Breton & Eugenio Peluso, 2009. "Third-degree stochastic dominance and inequality measurement," Journal of Economic Inequality, Springer, vol. 7(3), pages 249-268, September.
  3. Bosmans, Kristof, 2007. "Income inequality, quasi-concavity, and gradual population shifts," Mathematical Social Sciences, Elsevier, vol. 53(1), pages 29-45, January.
  4. Stéphane Mussard, 2007. "Between-Group Pigou Dalton Transfers," Cahiers de recherche 07-06, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke.
  5. Claudio Zoli, 2002. "Inverse stochastic dominance, inequality measurement and Gini indices," Journal of Economics, Springer, vol. 9(1), pages 119-161, December.
  6. Peter J. Lambert & Giuseppe Lanza, 2003. "The effect on inequality of changing one or two incomes," IFS Working Papers W03/15, Institute for Fiscal Studies.
  7. Peter Lambert & Giuseppe Lanza, 2006. "The effect on inequality of changing one or two incomes," Journal of Economic Inequality, Springer, vol. 4(3), pages 253-277, December.
  8. 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.
  9. Paul Makdissi & Stéphane Mussard, 2006. "Analyzing the Impact of Indirect Tax Reforms on Rank Dependant Social Welfare Functions: A Positional Dominance Approach," Cahiers de recherche 06-02, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke.
  10. Stefananescu, Stefan, 2008. "Measuring the Socio-Economic Bipolarization Phenomenon," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 5(1), pages 149-161, March.
  11. 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.
  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.

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