A consistent multidimensional generalization of the Pigou-Dalton transfer principle: An analysis

B.E. Journal of Theoretical Economics

Volumn 7, Issue 1, 2007, Pages

  Diez, Henar ^a   De Sarachu, Amaia ^a   De La Vega, M Casilda Lasso ^a   Urrutia, Ana M ^a  

^a UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

Author keywords

Dominance multivariate; Multidimensional inequality

Indexed keywords

EID: 38149081357     PISSN: None     EISSN: 19351704     Source Type: Journal    
DOI: 10.2202/1935-1704.1408     Document Type: Article

References (27)

1. Atkinson, A.B. and Bourguignon, F. (1982) The comparison of multi-dimensioned distributions of economic status, Review of Economic Studies, 49: 183-201.
2. Bhandari, K.S. (1988) Multivariate majorization and directional majorization: positive results, The Indian Journal of Statistics, 50, Series A: 199-204.
3. Bhandari, K.S. (1995) Multivariate majorization and directional majorization: negative results, Calcutta Statistical Association Bulletin, 45, n.179-180: 140-159.
4. Boland, P.J. and Proschan, F. (1988) Multivariate arrangement increasing functions with applications improbability and statistic, Journal of Multivariate Analysis, 25: 286-298.
5. Bourguignon, F. (1999) Comment to: Multidimensioned approaches to welfare analysis, by Maausoumi, E., in: J. Silber (ed.), Handbook of income inequality measurement, Boston: Kluwer Academia, 477-484.
6. Bourguignon, F. and Chakravarty, S. (2003) The measurement of multidimensional poverty, Journal of Economic Inequality, 1: 25-49.
7. Chateauneuf, A. and Moyes, P. (2005) Measuring Inequality Without the Pigou-Dalton Condition, WIDER Discussion Paper, UNU-WIDER.
8. Dardadoni, V. (1995) On multidimensional inequality measurement, in Dagum C. and Lemmi A. (Eds.), Income Distribution, Social Welfare, Inequality and Poverty. Vol. 6 of Research on Economic Inequality, Stamford, CT: JAI Press, 201-207.
9. Fleurbaey, M. and Trannoy, A. (2003) The impossibility of a Paretian egalitarian, Social Choice and Welfare, 21: 243-263.
10. nd ed. Cambridge: Cambridge University Press.
11. Kolm, S.C. (1977) Multidimensional egalitarianisms, Quaterly Journal of Economics, 91: 1-13.
12. Kolm, S.C. (1999) The Rational Foundations of Income Inequality Measurement, Handbook of income inequality measurement, ed. J. Silber, Boston: Kluwer Academia, 19-100.
13. Koshevoy, G. (1995) Multivariate Lorenz majorization, Social Choice and Welfare, 12: 93-102.
14. Koshevoy, G. (1998), The Lorenz zonotopes and multivariate majorizations, Social Choice and Welfare, 15: 1-14.
15. Koshevoy, G. and Mosler K. (1996) The Lorenz zonoid of a multivariate distributions, Journal of the American Statistical Association, 91(434): 873-882.
16. Koshevoy, G. and Mosler K. (1999) Price majorization and the inverse Lorenz function, DP in Statistics and Econometrics 03/99, September 1999, Universität zu Köln.
17. Koshevoy, G. and Mosler K. (2007) Multivariate Lorenz dominance based on zonoids, AStA Advances in Statistical Analysis, 91: 57-76.
18. List, CH. (1999). Multidimensional Inequality Measurement: a proposal, Working Paper in Economics, Oxford: Nuffield College.
19. Maasoumi, E. (1986) The measurement and decomposition of multi-dimensional inequality, Econometrica, 54 (4): 991-997.
20. Maasoumi, E. (1999) Multidimensioned approaches to welfare analysis, in: J. Silber (ed.), Handbook of income inequality measurement, Boston: Kluwer Academia, 437-477.
21. Marshall, A. W. and Olkin, I. (1979) Inequalities: Theory of majorization and its applications, New York: Academic Press.
22. Savaglio E (2006) Three approaches to the analysis of multidimensional inequality, in Farina, F. and E. Savaglio (eds), Inequality and Economic Integration, London: Routledge.
23. Sen, A.K. (1992) Inequality re-examined, Oxford: Clarendon Press.
24. Tsui, K.Y. (1995) Multidimensional generalizations of the relative and absolute inequality indices: the Atkinson-Kolm-Sen approach, Journal of Economic Theory 67: 251-265.
25. Tsui, K.Y. (1999) Multidimensional inequality and multidimensional generalized entropy measures: an axiomatic derivation, Social Choice and Welfare, 16 (1): 145-157.
26. Tsui, K.Y. (2002) Multidimensional poverty indices, Social Choice and Welfare, 19: 69-93.
27. Walzer, M. (1983) Spheres of Justice, New York: Basic Books Inc.