Abstract
The normative foundations of the comparison of distributions of a single attribute between a given number of individuals are by now well-established. They originate in the equivalence between four plausible answers to the question of when a distribution x can be considered normatively better than a distribution y.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Allison, R. A., & Foster, J. E. (2004). Measuring health inequality using qualitative data. Journal of Health Economics, 23, 503–524
Atkinson, A. B., & Bourguignon, F. (1982). The comparison of multidimensioned distributions of economic status. Review of Economic Studies, 49, 183–201
Atkinson, A. B., & Bourguignon, F. (1987). Income distributions and differences in needs. In G. R. Feiwel (Ed.), Arrow and the foundations of the theory of economic policy (pp. 350–370). London: Macmillan
Berge, C. (1963). Topological spaces: Including a treatment of multi-valued functions, vector spaces and convexity. Edinburgh: Oliver and Boyd
Blackorby, C., Bossert, W., & Donaldson, D. (2005). Population issues in social choice theory and ethics. Cambridge: Cambridge University Press
Bourguignon, F. (1989). Family size and social utility: Income distribution dominance criteria. Journal of Econometrics, 42, 67–80
Dasgupta, P., Sen, A., & Starrett, D. (1973). Notes on the measurement of inequality. Journal of Economic Theory, 6, 180–187
Ebert, U. (1995). Income inequality and differences in household size. Mathematical Social Sciences, 30, 37–53
Ebert, U. (2000). Sequential generalized Lorenz dominance and transfer principles. Bulletin of Economic Research, 52, 113–123
Epstein, L. G., & Tanny, S. M. (1980). Increasing generalized correlation: A definition and some economic consequences. Canadian Journal of Economics, 13, 16–34
Fields, G. S., & Fei, J. C. H. (1978). On inequality comparisons. Econometrica, 46, 305–316
Foster, J. E. (1985). Inequality measurement. In H. P. Young (Ed.), Fair allocation (pp. 38–61). Providence, RI: American Mathematical Society
Gravel, N., & Moyes, P. (2006). Ethically robust comparisons of distributions of two individual attributes. Document de Travail No. 06-05, Institut d’Économie Publique.
Gravel, N., Moyes, P., & Tarroux, B. (2009). Robust international comparisons of distributions of disposable income and regional public goods. Economica, 76, 432–461
Griffin, J. (1986). Well-being: Its meaning, measurement and moral importance. Oxford: Clarendon
Hadar, J., & Russell, W. R. (1974). Stochastic dominance in choice under uncertainty. In M. S. Balch, D. L. McFadden, & S. Y. Wu (Eds.), Essays on economic behavior under uncertainty (pp. 135–150). Amsterdam: North-Holland
Hardy, G. H., Littlewood, J. E., & Pólya, G. (1952). Inequalities (2nd ed.). Cambridge: Cambridge University Press
Kolm, S.-C. (1969). The optimal production of social justice. In J. Margolis & H. Guitton (Eds.), Public economics: An analysis of public production and consumption and their relations to the private sector (pp. 145–200). London: Macmillan
Kolm, S.-C. (1977). Multidimensional egalitarianisms. Quarterly Journal of Economics, 91, 1–13
Koshevoy, G. (1995). Multivariate Lorenz majorization. Social Choice and Welfare, 12, 93–102
Marshall, A. W., & Olkin, I. (1979). Inequalities: Theory of majorization and its applications. New York: Academic
Moyes, P. (1999). Comparaisons de distributions hétérogènes et critères de dominance. Economie et Prévision, 138–139, 125–146
Muller, C., & Trannoy, A. (2003). A dominance approach to well-being inequality across countries. Document de Travail No. 3-13, Institut d’Économie Publique
Sen, A. K. (1985). Commodities and capabilities. Amsterdam: North-Holland
Sen, A. K. (1997). On Economic Inequality. Expanded edition with a substantial annexe by James E. Foster and Amartya Sen (2nd ed.). Oxford: Clarendon
Shorrocks, A. F. (1983). Ranking income distributions. Economica, 50, 3–17
Trannoy, A. (2006). Multidimensional egalitarianism and the dominance approach: A lost paradise? In F. Farina & E. Savaglio (Eds.), Inequality and economic integration (pp. 284–302). London: Routledge
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Gravel, N., Moyes, P. (2011). Bidimensional Inequalities with an Ordinal Variable. In: Fleurbaey, M., Salles, M., Weymark, J. (eds) Social Ethics and Normative Economics. Studies in Choice and Welfare. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17807-8_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-17807-8_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17806-1
Online ISBN: 978-3-642-17807-8
eBook Packages: Business and EconomicsEconomics and Finance (R0)