This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

The Principle of Strong Diminishing Transfer

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Alain Chateauneuf (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - CNRS : UMR8095 - Université Panthéon-Sorbonne - Paris I)
Thibault Gajdos () (EUREQUA - Equipe Universitaire de Recherche en Economie Quantitative - CNRS : UMR8594 - Université Panthéon-Sorbonne - Paris I)
Pierre-Henry Wilthien (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - CNRS : UMR8095 - Université Panthéon-Sorbonne - Paris I)

Additional information is available for the following registered author(s):

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.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://halshs.archives-ouvertes.fr/docs/00/08/59/36/PDF/Dpdt3.pdf
File Format: application/pdf
File Function:
Download Restriction: no

Publisher Info
Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00085936_v1.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length:
Date of creation: 2002
Date of revision:
Publication status: Published, Journal of Economic Theory, 2002, 103, 2, 311-333
Handle: RePEc:hal:cesptp:halshs-00085936_v1

Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00085936/en/
Contact details of provider:
Web page: http://hal.archives-ouvertes.fr/

For technical questions regarding this item, or to correct its listing, contact: (CCSD).

Related research
Keywords: Inequality Measurement; Principle of Diminishing Transfers;

Other versions of this item:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!] (restricted)
    Other versions:
  2. Claudio Zoli, 1999. "Intersecting generalized Lorenz curves and the Gini index," Social Choice and Welfare, Springer, vol. 16(2), pages 183-196. [Downloadable!] (restricted)
  3. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August. [Downloadable!] (restricted)
  4. Mehran, Farhad, 1976. "Linear Measures of Income Inequality," Econometrica, Econometric Society, vol. 44(4), pages 805-09, July. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December. [Downloadable!] (restricted)
  7. Shorrocks, Anthony F & Foster, James E, 1987. "Transfer Sensitive Inequality Measures," Review of Economic Studies, Blackwell Publishing, vol. 54(3), pages 485-97, July. [Downloadable!] (restricted)
  8. Bossert, Walter, 1990. "An axiomatization of the single-series Ginis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 82-92, February. [Downloadable!] (restricted)
  9. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January. [Downloadable!] (restricted)
  10. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January. [Downloadable!] (restricted)
    Other versions:
  11. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September. [Downloadable!] (restricted)
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. 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. [Downloadable!]
  2. Peter J. Lambert & Giuseppe Lanza, 2003. "The Effect on Inequality of Changing One or Two Incomes," University of Oregon Economics Department Working Papers 2003-15, University of Oregon Economics Department, revised 10 Sep 2003. [Downloadable!]
  3. 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. [Downloadable!]
  4. 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, vol. 30(3), pages 385-399, April. [Downloadable!] (restricted)
    Other versions:
  5. Stefananescu, Stefan, 2008. "Measuring the Socio-Economic Bipolarization Phenomenon," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 5(1), pages 149-161, March. [Downloadable!]
  6. 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. [Downloadable!] (restricted)
  7. 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. [Downloadable!]
    Other versions:
  8. 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. [Downloadable!] (restricted)
  9. Claudio Zoli, 2002. "Inverse stochastic dominance, inequality measurement and Gini indices," Journal of Economics, Springer, vol. 9(1), pages 119-161, December. [Downloadable!] (restricted)
  10. Aaberge, Rolf, 2008. "Ranking Intersecting Lorenz Curves," IZA Discussion Papers 3852, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
Statistics
Access and download statistics

Did you know? You too can volunteer for RePEc, for example by encouraging others to register as authors.

This page was last updated on 2009-12-12.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.