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The Principle of Strong Kiminishing Transfer

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

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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Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Papiers d'Economie Mathématique et Applications with number 1999-96.

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Length: 21 pages
Date of creation: 1999
Date of revision:
Handle: RePEc:fth:pariem:1999-96
Contact details of provider: Postal: France; Universite de Paris I - Pantheon- Sorbonne, 12 Place de Pantheon-75005 Paris, France
Phone: + 33 44 07 81 00
Fax: + 33 1 44 07 83 01
Web page: http://cermsem.univ-paris1.fr/

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  1. Miles S. Kimball, 1989. "Precautionary Saving in the Small and in the Large," NBER Working Papers 2848, National Bureau of Economic Research, Inc.
  2. Shorrocks, Anthony F & Foster, James E, 1987. "Transfer Sensitive Inequality Measures," Review of Economic Studies, Wiley Blackwell, vol. 54(3), pages 485-97, July.
  3. EECKHOUDT, Louis & Christian GOLLIER & Thierry SCHNEIDER, 1994. "Risk Aversion, Prudence and Temperance : A Unified Approach," Working Papers 006, Risk and Insurance Archive.
  4. 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.
  5. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
  6. Davies James & Hoy Michael, 1994. "The Normative Significance of Using Third-Degree Stochastic Dominance in Comparing Income Distributions," Journal of Economic Theory, Elsevier, vol. 64(2), pages 520-530, December.
  7. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
  8. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
  9. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  10. Claudio Zoli, 1999. "Intersecting generalized Lorenz curves and the Gini index," Social Choice and Welfare, Springer, vol. 16(2), pages 183-196.
  11. Mehran, Farhad, 1976. "Linear Measures of Income Inequality," Econometrica, Econometric Society, vol. 44(4), pages 805-09, July.
  12. Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, vol. 48(2), pages 437-46, March.
  13. Bossert, Walter, 1990. "An axiomatization of the single-series Ginis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 82-92, February.
  14. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
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