Multidimensional Egalitarianisms

Kolm, Serge-Christophe

doi:10.2307/1883135

Cited by 338 publications

(247 citation statements)

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“…In the measurement of economic inequality and poverty, several authors have pointed out that attributes beyond income should be included in the analysis. Consequently, they have introduced various multi-attribute measures of inequality and poverty; see Atkinson and Bourguignon (1982), Kolm (1977), Maasoumi (1986), Bourguignon and Chakravarty (2003), Tsui (1995Tsui ( , 1999.…”

Section: Introductionmentioning

confidence: 99%

Constructing indices of multivariate polarization

Gigliarano

Mosler

2008

J Econ Inequal

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Multivariate indices of polarization are constructed to measure effects of non-income attributes like wealth and education. Adopting the view of Esteban and Ray (1994), polarization is considered as the presence of groups which are internally homogeneous, externally heterogeneous, and of similar size. We propose a class of polarization indices which is built from measures of relative groups size and from decomposable indices of socio-economic inequality. For the latter, we employ the special inequality indices of Maasoumi (1986), Tsui (1995Tsui ( , 1999 and Koshevoy and Mosler (1997). Then, postulates for multidimensional polarization measurement are stated and discussed. The approach is illustrated by a numerical example.

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Section: Introductionmentioning

confidence: 99%

Constructing indices of multivariate polarization

Gigliarano

Mosler

2008

J Econ Inequal

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“…There are two distinct forms of inequality in the multidimensional context. The first is the distribution-sensitive inequality (Kolm 1977) and the second is the association sensitivity inequality (Atkinson and Bourguignon 1982).…”

Section: Sensitivity To Inequality Across Personsmentioning

confidence: 99%

“…10 We now introduce distribution sensitivity in the multidimensional framework. Following Kolm (1977), we state that achievement matrix J is more equal than achievement matrix H, if J is obtained from H by pre-multiplying H by a bistochastic matrix, such that J = BH. Following Foster, López-Calva and Székely 2005, we call this process as common smoothing since we reduce the spread of all dimensions by the same bistochastic matrix.…”

Section: Multidimensional Distribution Sensitivitymentioning

confidence: 99%

“…The first form of multidimensional inequality is motivated by the concept of the single-dimensional inequality concerning the spread of the distribution (Kolm 1977). The second form of inequality, in contrast, is typically multidimensional in nature since it is based on the existing correlation 2 among different components of human development (Atkinson and Bourguignon 1982).…”

Section: Introductionmentioning

confidence: 99%

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Inequality, Interactions, and Human Development

Seth

2009

Journal of Human Development and Capabilities

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The Human Development Index, which is multidimensional by construction, is criticized on the ground that it is insensitive to any form of inequality across persons. Inequality in the multidimensional context can take two distinct forms. The first pertains to the spread of the distribution across persons, analogous to unidimensional inequality. The second, in contrast, deals with interactions among dimensions. The second form of inequality is important as dimensional interactions may alter individual-level evaluations as well as overall inequality. Recently proposed indices have incorporated only the first form of inequality, but not the second. It is an important omission. This paper proposes a two-parameter class of human development indices that reflects sensitivity to both forms of inequality. It is revealed how consideration of interactions among dimensions affects policy recommendations. Finally, the indices are applied to the year 2000 Mexican census data to contrast the present approach with the existing approaches.

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“…Atkinson and Bourguignon (1982), Kolm (1977)) in which one is interested in comparing distributions of several attributes by requiring the unanimity over a class of utilitarian rankings. Yet, the additional struc-ture imposed by the fact that the considered attributes are ingredients of risks evaluated, both at the social and the individual level, by VNM preferences turns out to be quite signi…cant.…”

Section: Introductionmentioning

confidence: 99%

Robust normative comparisons of socially risky situations

Gravel

Tarroux

2014

Soc Choice Welf

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In this paper, we characterize and empirically implement robust normative criteria for comparing societies on the basis of their allocations of risks among their members. Risks are modelled as lotteries on the set of distributions of state-contingent pecuniary consequences. Individuals are assumed to have individualistic Von NeumanMorgenstern preferences for these risks. Appealing to Harsanyi's aggregation theorem, we provide empirically implementable criteria that coincide with the unanimity, over all such individual preferences, of anonymous and Pareto-inclusive Von Neuman Morgenstern social rankings of risks. The empirically implementable criteria can be interpreted as sequential expected poverty dominance. Illustrations of the usefulness of the criteria for comparing the exposure to unemployment risk of different segments of the French and US workforce and for appraising the evolution, over time, of risks of violent crimes in India are also provided.

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Multidimensional Egalitarianisms

Cited by 338 publications

References 0 publications

Constructing indices of multivariate polarization

Constructing indices of multivariate polarization

Inequality, Interactions, and Human Development

Robust normative comparisons of socially risky situations

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