The Principle of Strong Diminishing Transfer
AbstractWe reconsider the principles of diminishing transfer (introduced by Kolm ) and dual diminishing transfer (introduced by Mehran ). 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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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 103 (2002)
Issue (Month): 2 (April)
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Web page: http://www.elsevier.com/locate/inca/622869
Other versions of this item:
- Alain Chateauneuf & Thibault Gajdos & Pierre-Henry Wilthien, 2002. "The Principle of Strong Diminishing Transfer," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00085936, HAL.
- Chateauneuf, A. & Gajdos, T. & Wilthien, P.-H., 1999. "The Principle of Strong Kiminishing Transfer," Papiers d'Economie MathÃÂ©matique et Applications 1999-96, UniversitÃ© PanthÃ©on-Sorbonne (Paris 1).
- 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
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.:
- Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
- Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
- Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, vol. 48(2), pages 437-46, March.
- Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
- Shorrocks, Anthony F & Foster, James E, 1987. "Transfer Sensitive Inequality Measures," Review of Economic Studies, Wiley Blackwell, vol. 54(3), pages 485-97, July.
- 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.
- 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.
- Mehran, Farhad, 1976. "Linear Measures of Income Inequality," Econometrica, Econometric Society, vol. 44(4), pages 805-09, July.
- Kimball, Miles S, 1990.
"Precautionary Saving in the Small and in the Large,"
Econometric Society, vol. 58(1), pages 53-73, January.
- Miles S. Kimball, 1989. "Precautionary Saving in the Small and in the Large," NBER Working Papers 2848, National Bureau of Economic Research, Inc.
- Eeckhoudt, Louis & Gollier, Christian & Schneider, Thierry, 1995.
"Risk-aversion, prudence and temperance: A unified approach,"
Elsevier, vol. 48(3-4), pages 331-336, June.
- EECKHOUDT, Louis & Christian GOLLIER & Thierry SCHNEIDER, 1994. "Risk Aversion, Prudence and Temperance : A Unified Approach," Working Papers 006, Risk and Insurance Archive.
- Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
- Bossert, Walter, 1990. "An axiomatization of the single-series Ginis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 82-92, February.
- Claudio Zoli, 1999. "Intersecting generalized Lorenz curves and the Gini index," Social Choice and Welfare, Springer, vol. 16(2), pages 183-196.
- 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.
- Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
- Bosmans, Kristof & Schokkaert, Erik, 2004. "Social welfare, the veil of ignorance and purely individual risk: An emperical examination," Open Access publications from Maastricht University urn:nbn:nl:ui:27-15455, Maastricht University.
- 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.
- Rolf Aaberge, 2004.
"Ranking Intersecting Lorenz Curves,"
CEIS Research Paper
45, Tor Vergata University, CEIS.
- Rolf Aaberge, 2000. "Ranking Intersecting Lorenz Curves," Discussion Papers 271, Research Department of Statistics Norway.
- Aaberge, Rolf, 2008. "Ranking Intersecting Lorenz Curves," IZA Discussion Papers 3852, Institute for the Study of Labor (IZA).
- Rolf Aaberge, 2000. "Ranking intersectiong Lorenz Curves," ICER Working Papers 08-2000, ICER - International Centre for Economic Research.
- 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.
- Bosmans, Kristof, 2007.
"Income inequality, quasi-concavity, and gradual population shifts,"
Mathematical Social Sciences,
Elsevier, vol. 53(1), pages 29-45, January.
- Bosmans, Kristof, 2007. "Income inequality, quasi-concavity, and gradual population shifts," Open Access publications from Maastricht University urn:nbn:nl:ui:27-15449, Maastricht University.
- 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.
- Claudio Zoli, 2002. "Inverse stochastic dominance, inequality measurement and Gini indices," Journal of Economics, Springer, vol. 9(1), pages 119-161, December.
- 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.
- 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.
- Stefananescu, Stefan, 2008. "Measuring the Socio-Economic Bipolarization Phenomenon," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 5(1), pages 149-161, March.
- 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.
- 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.
- 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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