Abstract
We present and discuss a binary relation aimed at the study of the re-distribution of income. We characterize, in a number of ways, the set of income allocations that can be reached from an initial allocation through a sequence of pair-wise equalizing transfers, where the sequence contains no flow of income from any donor to anyone else who ends up strictly richer than this donor himself ends up at the outcome of the entire sequence.
Similar content being viewed by others
References
Aboudi R, Thon D (2003) Transfer principles and relative inequality aversion; a majorization approach. Math Soc Sci 45:299–311
Aboudi R, Thon D (2006) Refinements of Muirhead’s Lemma and income inequality. Math Soc Sci 51: 201–216
Alberti P, Uhlmann A (1982) Stochasticity and partial order. D. Reidel, Dordrecht
Dalton H (1920) The measurement of the inequality of income. Econ J 30:348–361
Fishburn P (1973) The theory of social choice. Princeton University Press, Princeton
Kolm S (1966) The optimal production of social justice. In: Guitton H, Margolis J (eds) International economic association conference on public economics, Biarritz (proceedings). Also in Guitton H, Margolis J (eds) Public economics. Macmillan, 1969, London
Lorenz M (1905) Methods of measuring the concentration of wealth. J Ame Statist Assoc 9:209–219
Marshall A, Olkin I (1979) Inequalities: Majorization theory and its applications. Academic, New York
Shorrocks A (1983) Ranking income distributions. Economica 50:3–18
Thon D, Wallace S (2004) Dalton transfers, inequality and altruism. Soc Choice Welf 22:447–456
Author information
Authors and Affiliations
Corresponding author
Additional information
Thanks are due to Peter Lambert and James Mirrlees for their comments. Thon was with the Department of Economics, University of Macau, when some of the work on this paper was done.
Rights and permissions
About this article
Cite this article
Aboudi, R., Thon, D. Second degree Pareto dominance. Soc Choice Welfare 30, 475–493 (2008). https://doi.org/10.1007/s00355-007-0252-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00355-007-0252-1