TY - UNPB
T1 - A Decomposable Index of Multidimensional Inequality of Opportunity
AU - Jaya Krishnakumar
AU - Javadekar, Sayli
PY - 2021/7/14
Y1 - 2021/7/14
N2 - This paper proposes a measure of multidimensional inequality of opportunity - the Kullback Leibler divergence index, based on the opportunity equality definition of Roemer (1993, 1998, 2016). We prove theoretically and numerically that this measure satisfies a larger set of properties mainly the additive decomposability by dimensions. We show that the Kullback Leibler divergence index for multiple dimensions can be decomposed into Kullback Leibler divergence index for each of these dimensions along with a measure of association which is interpreted as the mutual information Sugiyama et al. (2013). We provide an empirical application of our proposed method using the Indian Demographic and Health Survey 2015/16 data for adult males.
AB - This paper proposes a measure of multidimensional inequality of opportunity - the Kullback Leibler divergence index, based on the opportunity equality definition of Roemer (1993, 1998, 2016). We prove theoretically and numerically that this measure satisfies a larger set of properties mainly the additive decomposability by dimensions. We show that the Kullback Leibler divergence index for multiple dimensions can be decomposed into Kullback Leibler divergence index for each of these dimensions along with a measure of association which is interpreted as the mutual information Sugiyama et al. (2013). We provide an empirical application of our proposed method using the Indian Demographic and Health Survey 2015/16 data for adult males.
KW - inequality of opportunity
KW - additive decomposability
KW - multidimensional
KW - kullback-liebler
U2 - 10.2139/ssrn.3885082
DO - 10.2139/ssrn.3885082
M3 - Working paper
BT - A Decomposable Index of Multidimensional Inequality of Opportunity
PB - SSRN
ER -