Stochastic dominance and decomposable measures of inequality and poverty

In this paper, we characterize some new links between stochastic dominance and the measurement of inequality and poverty. We show that: for second-degree normalized stochastic dominance (NSD), the weighted area between the NSD curve of a distribution and that of the equalized distribution is a decomposable inequality measure; for first-degree and second-degree censored stochastic dominance (CSD), the weighted area between the CSD curve of a distribution and that of the zero-poverty distribution is a decomposable poverty measure. These characterizations provide graphical representations for decomposable inequality and poverty measures in the same manner as Lorenz curve does for the Gini index. The extensions of the links to higher degrees of stochastic dominance are also investigated.     

A general class of additively decomposable inequality measures

Summary. This paper presents and characterizes a two-parameter class of inequality measures that contains the generalized entropy measures, the variance of logarithms, the path independent measures of Foster and Shneyerov (1999) and several new classes of measures. The key axiom is a generalized form of additive decomposability which defines the within-group and between-group inequality terms using a generalized mean in place of the arithmetic mean. Our characterization result is proved without invoking any regularity assumption (such as continuity) on the functional form of the inequality measure; instead, it relies on a minimal form of the transfer principle – or consistency with the Lorenz criterion – over two-person distributions. Received: October 27, 1997; revised: March 25, 1998     

Decomposition of bivariate inequality indices by attributes

We provide, for the class of relative bidimensional inequality indices, a decomposition of inequality into two univariate Atkinson–Kolm–Sen indices and a third statistic which depends on the joint distribution of resources.     

The price of education and inequality

Constructing a simple model that includes the price of education, this paper shows that the educational expenditure of rich households could prevent poor households from escaping poverty. The paper offers an explanation for persistent inequality.     

Decomposing differences in health and inequality using quasi-objective health indices

People in Canada and the United States often make claims regarding whose country has a better health system. Several researchers have attempted to address this question by analysing subjective health measures in the two countries, thus assuming a common definition of ‘good’ health. Using data from the Joint Canada/US Survey of Health, which provides rich and comparable health information for the two countries, I generate two quasi-objective health indices and show that Canadians and Americans define ‘good’ health differently. After controlling for cross-country reporting heterogeneity, health differences between Americans and Canadians are eliminated for intermediate health statuses, while health differences at the tails of the health distribution lead to slightly better average population health in Canada. With respect to health inequality, my results show that income and education gradients increase steeply with poor health in both countries. Hence, considering differences along the health distribution is crucial when assessing population health or health inequality.     

Invariance, price indices and estimation in almost ideal demand systems

Two issues are addressed in this paper. First, we explore the issue of price index invariance in the linearized Almost Ideal demand system. We establish that the Stone index, which lacks invariance, and the recently proposed invariant Laspeyres, Paasche and Tornqvist indices all generate biased and inconsistent estimators. Monte Carlo evidence shows that invariance does not necessarily lead to better estimates of price and income elasticities insofar as the Stone and Paasche indices are unambiguously inferior to the Laspeyres and Tornqvist indices, especially if prices are not strongly positively correlated. Second, we examine the merits of the widely used conditional ML estimator of the non-linear Almost Ideal system in which a prior value is chosen for the “subsistence” parameter. We find that the bias and trace mean square error increases induced by conditional estimation are modest. The choice between the linearized and the non-linear models favors the latter although in some cases linear methods are as good as non-linear. First Version Received: January 1999 / Final Version Received: March 2000     

On the dynamics of inequality

The dynamics of inequality are studied in a model of human capital accumulation with credit constraints. This model admits a multiplicity of steady state skill ratios that exhibit varying degrees of inequality across households. The main result studies equilibrium paths. It is shown that an equilibrium sequence of skill ratios must converge monotonically to the smallest steady state that exceeds the initial ratio for that sequence. Convergence is “gradual" in that the steady state is not achieved in finite time. On the other hand, if the initial skill ratio exceeds the largest steady state, convergence to a steady state is immediate.This paper is based on unpublished notes from 1990; see http://www.econ.nyu.edu/user/debraj/DevEcon/Notes/incdist.pdf. Two considerations suggest that these results may be worth reporting in print. First, the existence of a sizeable recent literature indicates that these relatively early notes may have value outside a filing cabinet or a private webpage. Second, Mukul Majumdar’s own research on economic growth with a nonconvex technology is an even earlier precursor to some of this literature, so the current outlet – a special issue in his honor – seems appropriate. Conversations with Glenn Loury simplified the proof of the main result. I thank Dilip Mookherjee for many useful discussions, and two anonymous referees for helpful comments on an earlier draft. Funding from the National Science Foundation under grant number 0241070 is acknowledged. This paper is dedicated with much affection and warm admiration to Mukul Majumdar – or to Mukulda, as I always think of him – on the occasion of his 60th birthday.     

A note on the evolution of inequality in Poland, 1992-99

Analyses of household budget surveys, national accounts dataon functional income distribution, and data on the dispersionof wages, indicate that income inequality in Poland, after fallingover the 1993–96 period, rose significantly from 1997onwards. Farmers and the unemployed were the main losers. Theoverall position of wage-earners improved, although wage inequalityincreased sharply in the second half of the 1990s. Employersand the self-employed fared quite well. This coincided withfiscal policy changes which substantially slowed down progressionin income taxes. Over the 1993–96 period growth was highand balanced. Subsequently, growth slowed down, giving riseto serious fiscal and external deficits.     

The creation of effective states in the OECD since 1870: The role of inequality

Research shows that state capacity is crucial for economic development, yet the impact of inequality on state capacity is not well understood. This paper examines the impact of income inequality on three key dimensions of state capacity, namely legal, fiscal and collective capacity using annual data for a core of 21 OECD countries over the period 1870–2013. We find that the marked reduction in inequality over most of the last century starting from 1916 was pivotal to the significant improvements in legal, fiscal and collective capacity in the OECD countries over the same period.     

The effect of reporting errors on the cross-country relationship between inequality and crime

This paper analyzes reporting errors in crime data to see how they impact econometric estimates, particularly of the key relationship between inequality and crime. Criminal victimization surveys of 140,000 respondents in 37 industrial, transition and developing countries are used. Comparing the crimes experienced by these respondents with those reported to the police, non-random and mean-reverting errors are apparent. Time-varying factors affect the propensity of victims to report crimes to the police, undermining the use of country-specific fixed effects as a means of dealing with measurement error in official crime data. These errors substantially attenuate both cross-sectional and panel estimates of the partial correlation between inequality and crime.     

On factor decomposition of cross-country income inequality: some extensions and qualifications

In a recent paper in this journal Duro and Esteban [Econom. Lett. 60 (1998) 269] have proposed a factor decomposition of the Theil [Economics and Information Theory, Amsterdam, North-Holland, 1967] index of inequality over per capita incomes into the (unweighted) sum of the inequality indexes of the factors in order to measure the contribution of each individual factor to the overall inequality. The purpose of this little note is to extend and qualify the meaning of such a decomposition, to show that the decomposition also holds for another Theil [Economics and Information Theory, Amsterdam, North-Holland, 1967], index of inequality and that both decompositions offer qualitatively the same general results about the contribution of the factors to aggregate inequality when applied to a particular data set, the OECD countries, although quantitative results differ.     

Factor decomposition of cross-country income inequality, 1960–1990

In this paper we present Esteban's 1994 [Esteban, J., 1994. La desigualdad interregional en Europa y en España: descripción y análisis. In: Esteban, J.M^a., Vives, X. (dirs.), Crecimiento y convergencia regional en España y en Europa, Vol. 2, Instituto de Análisis Económico] decomposition of the Theil index of inequality over per capita incomes into the (unweighted) sum of the inequality indices of (i) the productivity per employed worker, (ii) the employment rate, (iii) the active over working-age population rate, and (iv) the working-age over total population rate. Each of these factors clearly have different meanings for analysis as well as for policy. We apply this factoral decomposition to a set of 120 countries. We also contrast the empirical findings with the results obtained for the 23 OECD countries. [OECD, Labour Force Statistics, Several issues, Paris].     

The subversive nature of inequality: Subjective inequality perceptions and attitudes to social inequality

This paper shows that higher levels of perceived wage inequality are associated with a weaker (stronger) belief into meritocratic (non-meritocratic) principles as being important in determining individual wages. This finding is further corroborated using various complementary measures of individuals’ perception of the chances and risks associated with an unequal distribution of economic resources, such as their perception of the chances of upward mobility. I finally show that those individuals perceiving a high level of wage inequality also tend to be more supportive of redistributive policies and progressive taxation. Taken together, these findings suggest that high levels of perceived wage inequality do have the potential to undermine the legitimacy of market outcomes.     

Increasing dispersion of skills and rising earnings inequality

In recent decades many countries have simultaneously liberalized their trading regimes and expanded their education systems. The theoretical effect of these regime shifts on the wage differential between skilled and unskilled workers is ambiguous. On the one hand, openness to trade causes demand shifts in the labor market which may widen or narrow the differential. This result depends on whether the unskilled wage is depressed, as in the case of importing countries, or raised, as in the case of exporting countries. On the other hand, an increased supply of more educated workers reduces their wages and narrows the skill wage gap. In this study of the labor market of Hong Kong, we document that recent changes in response to the trade liberalization of Mainland China and expanded access to education have increased the earnings differential between skilled and unskilled workers. Using detailed census data, we argue that the main reason for this outcome is the widened dispersion of skills across the earnings distribution, resulting from demand and supply shifts in the labor market caused by trade openness and expanded access to higher education.     

Statistical analysis of inequality with decompositions: the Canadian experience

This study carries out a decomposition of Theil-entropy measures into a between-group component, based on factors such as education, age, gender, and marital status, and a component representing inequality within each group. We apply a bootstrapping technique to measures of inequality to enable statistical inference. Trends in household income inequality in Canada are investigated using data from 1991 to 1997 drawn from Survey of Consumer Finance. We find an evident trend toward increasing inequality of household incomes between the years 1991–1997, during which the economy was recovering from a steep recession. Although most of the increase in measured inequality is attributed to the `within-group' component, we find the change in `between-group' inequality to be significant for education, age, and marital status. First version received: May 2001/Final version received: September 2001     

An empirical test of the inequality trap concept

The paper uses a GMM estimation to prove the impact of equity on inequality persistence which suggests the presence of inequality trap, and underline the significant influence of the credit market, wealth and education access initial levels.     

The inadequacy of cost of living indices based on subjective preferences: an ethical and methodological critique

In this paper we argue that there is scant justification for replacing the traditional fixed‐basket Laspeyres price index with so called ‘true cost of living indices’. We begin with a discussion of the possible explanations for some empirical results for inflation found for different social groups in Ireland in the late 1990s. Our arguments concerning appropriate inflation indices are primarily ethical and are not dependent on these results being interpreted in a non‐neoclassical vein. They do however gain extra force if one accepts non‐neoclassical explanations for the empirical results. We go on to draw conclusions as to how best to measure the welfare effects of changes in the price of goods. This links in to the broader debate regarding objective versus subjective measures of welfare.     

Measuring the immeasurable — A survey of sustainability indices

Sustainability indices for countries provide a one-dimensional metric to valuate country-specific information on the three dimensions of sustainable development: economic, environmental, and social conditions. At the policy level, they suggest an unambiguous yardstick against which a country's development can be measured and even a cross-country comparison can be performed. This article reviews the explanatory power of various sustainability indices applied in policy practice. We show that these indices fail to fulfill fundamental scientific requirements making them rather useless if not misleading with respect to policy advice.     

An exploration of the positive effect of inequality on common property forests

This paper analyzes the household level forces driving the positive impact of inequality on common property forest cover in Mexico. A game theoretic model demonstrates that when common property goods are complementary to private inputs in production, an increase in wealth inequality can lead to a decrease in exploitation of the commons. Data from 350 Mexican common properties show that as inequality increases, those on the lower end of the land distribution are less likely to use the commons. The data also show a negative correlation between inequality and poverty. Alternative hypotheses for these results are considered.     

Effects of monetary and government spending policy on economic inequality

Using detailed micro-level income and expenditure data, we study the effects of monetary and government spending policy shocks on income and expenditure inequality in the US from 1990 to 2018. We find that expansionary monetary and government spending policy shocks systematically decrease income, disposable income and expenditure inequality. There is evidence of time variation on the effects and monetary policy and transfer payment shocks. Various impulse responses suggest that the impacts of the policy shocks increase during and after the Great Recession. The responses of income and expenditures of households at different percentiles suggest that expansionary monetary and government spending policy have a larger positive impact on households with low income and expenditures relative to those at the top of the distribution. We do not find evidence of the significant impact of Quantitative Easing policies on income inequality, however, expenditure inequality appear to increase due to the policies.