Shapley inequality decomposition by factor components: Some methodological issues

Sastre, Mercedes; Trannoy, Alain

doi:10.1007/bf03052500

Cited by 112 publications

(63 citation statements)

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“…These remarks have permitted the elaboration of a set of strong criticisms against the Shapley-shorrocks and its applicability to the analysis of inequality by sources, criticisms that can be found in summary in the article of Sastre and Trannoy (2002). The latter proposes the nested form of Shapley decomposition basing on the extensions brought by Owen (1977) to the original value of Shapley.…”

Section: Appendicesmentioning

confidence: 99%

Inequality of Cameroonian Households: An Analysis Based on Shapley-shorrocks Decomposition

Célestin¹,

Clovis²

2012

IJEF

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The objective of this study is to explain the evolution of inequality of consumption expenditures of households in Cameroon over the period 1996-2007. To achieve this, we use the Shapley-Shorrocks decomposition of inequality by subgroups and by sources of income / expenses. The application of this method to data from Cameroon shows that expenditure on food and housing explains inequality by sources, while the expenditure distribution is much more unequal in households' headed by a man in urban area and slice aged between 31 and 50 regarding the decomposition subgroup.

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Section: Appendicesmentioning

confidence: 99%

Inequality of Cameroonian Households: An Analysis Based on Shapley-shorrocks Decomposition

Célestin¹,

Clovis²

2012

IJEF

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“…Using the concept of Shapley decomposition (see, Shorrocks, 1999, Sastre andTrannoy, 2002, and Appendix B, for more details), …”

Section: 1mentioning

confidence: 99%

“…It is assumed that there is no change over time in the poverty line z. Using the concept of Shapley decomposition 6 (see, Shorrocks, 1999, andSastre andTrannoy, 2002, as well Appendix B, for more details on this decomposition) it can be shown that the relative change in poverty ) / ( θ θ d may be expressed as the sum of two components, one, Gr, reflecting the impact of growth, inequality remaining constant, and the other, In, measuring the effect of a change in inequality, the mean income staying constant, that is…”

Section: Concluding Commentsmentioning

confidence: 99%

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On Various Ways of Measuring Pro-Poor Growth

Deutsch

Silber

2011

Economics

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This paper examines three possible approaches to pro-poor growth. The first one assumes that the poverty line remains constant in real terms over time. The second perspective examines the case where the poverty line is equal to half the median of the income distribution but assumes that such a poverty line is determined exogenously. Finally we also propose a third type of decomposition of the change in poverty, one which is obtained when the poverty line is assumed to be endogenous. In addition, whatever the assumption made concerning the poverty line, we take both a relative and an absolute approach to inequality measurement when defining pro-poor growth. With a relative approach to pro-poor growth it is assumed that inequality does not to vary when all incomes are multiplied by a constant whereas, with an absolute approach to pro-poor growth, inequality is supposed not to vary when an equal sum is added to all incomes. The empirical illustration covers the period [1990][1991][1992][1993][1994][1995][1996][1997][1998][1999][2000][2001][2002][2003][2004][2005][2006] in Israel and the analysis is based on the use of the FGT poverty index. It turns out that the assumptions made concerning the way the poverty line is defined and the choice between a relative and an absolute approach to pro-poor growth greatly affect the results. As a whole however growth was pro-rich in Israel during the 1990-2006 period. Special IssueThe Measurement of Inequality and Well-Being: New Perspectives JEL I32, O15 Keywords Inequality; Israel; pro-poor growth; Watts index Correspondence Jacques Silber, Department of Economics, Bar-Ilan University, 52900 Ramat-Gan, Israel; e-mail: jsilber_2000@yahoo.com Citation Joseph Deutsch and Jacques Silber (2011). On Various Ways of Measuring Pro-Poor Growth. Economics: The Open-Access, Open-Assessment E-Journal, Vol. 5, 2011-13. http IntroductionThe concept of pro-poor growth has become very popular during the last decade. It reflects the idea that economic growth should affect all the segments of society and this is why the term "inclusive growth" is also often used. There are however various ways of understanding the term "pro-poor". Some would argue that growth is pro-poor when it raises the incomes of the poor. Others consider that growth can be labeled "pro-poor" only if it raises the incomes of poor proportionately more than it raises the average income in society (see, Kakwani et al., 2004, and Ravallion, 2004, for more details on these two approaches). Dollar and Kraay (2002) thus found, on the basis of a large cross-country data set, that the incomes of the individuals who belong to the two poorest deciles of the income distribution rise on average at the same rate as the mean income. Another issue that should be stressed is that most studies of pro-poor growth take an anonymous approach in the sense that they are usually based on crosssections and do not follow individuals over time, as would have been possible, had panel data been available (see, however Grimm, 2007, and Nis...

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“…Such a function need not be linear. Although Chantreuil and Trannoy (1999) and Sastre and Trannoy (2002), who came up with the idea of Shapley decomposition, limited their application of the Shapley value to the decomposition of income inequality, Shorrocks (1999) has shown that such a decomposition could be applied to any function. The idea of the Shapley value is to consider all the possible sequences allowing us to eliminate the variables a and b.…”

Section: The Shapley Decomposition and Its Implications For Multidimementioning

confidence: 99%

Multidimensional approaches to poverty measurement: an empirical analysis of poverty in Belgium, France, Germany, Italy and Spain, based on the European panel

D’Ambrosio¹,

Deutsch

Silber

2009

Applied Economics

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This article has three goals. First, we wish to compare three multidimensional approaches to poverty and check to what extent they identify the same households as poor. Second, we aim at better understanding the determinants of poverty by estimating logit regressions with five categories of explanatory variables: size of the household, age of the head of the household, her gender, marital status and status at work. Third, we introduce a decomposition procedure proposed recently in the literature, the so-called Shapley decomposition, in order to determine the exact marginal impact of each of the categories of explanatory variables. Our empirical analysis is based on data made available by the European Community Household Panel (ECHP). We used its third wave and selected five countries: Belgium, France, Germany, Italy and Spain.

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Shapley inequality decomposition by factor components: Some methodological issues

Abstract: Shapley Value, Inequality, Decomposition, D31,

Cited by 112 publications

References 5 publications

Inequality of Cameroonian Households: An Analysis Based on Shapley-shorrocks Decomposition

Inequality of Cameroonian Households: An Analysis Based on Shapley-shorrocks Decomposition

On Various Ways of Measuring Pro-Poor Growth

Multidimensional approaches to poverty measurement: an empirical analysis of poverty in Belgium, France, Germany, Italy and Spain, based on the European panel

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