The evolution of income inequality in the European Union during the period 1993–1996

The objective of this work is to analyse the income inequality in the 15 EU countries during the convergence process to the Monetary Union, using the information contained in the European Community Household Panel, corresponding to the four first waves. Using the inverse second order stochastic dominance concept, an ordering of these countries has been carried out. Furthermore, this ranking allows one to determine if the differences among EU country members have increased or decreased during this particular period. Whether the inequality of income has diminished within and between countries over time was studied. Gini's generalized family indices proposed by Donaldson and Weymark (Journal of Economic Theory 22: 67–86, 1980 and 29: 353–8, 1983) and Yitzhaki (International Economic Review 24: 617–28, 1983) have been used. This allows one to test the sensitivity of the results obtained to different degrees of inequality aversion and to different equivalence scales, taking into account household sizes.     

Innis Lecture: Inference on income distributions

Abstract This paper attempts to provide a synthetic view of varied techniques available for performing inference on income distributions. Two main approaches can be distinguished: one in which the object of interest is some index of income inequality or poverty, the other based on notions of stochastic dominance. From the statistical point of view, many techniques are common to both approaches, although of course some are specific to one of them. I assume throughout that inference about population quantities is to be based on a sample or samples, and, formally, all randomness is due to that of the sampling process. Inference can be either asymptotic or bootstrap based. In principle, the bootstrap is an ideal tool, since in this paper I ignore issues of complex sampling schemes and suppose that observations are IID. However, both bootstrap inference and, to a considerably greater extent, asymptotic inference can fall foul of difficulties associated with the heavy right‐hand tails observed with many income distributions. I mention some recent attempts to circumvent these difficulties.     

Carbon dioxide emission and income: A temporal analysis of cross-country distributional patterns

This paper explores the relationship between the inter-country income inequality and CO₂ emission and temporal shifts in such a relationship. It also examines how the mean per capita CO₂ emission and its distributional inequality are related to the corresponding mean and the distributional inequality of income. The analysis is based on a cross-country panel data set at the level of country-group. Here environmental damage is treated as a private good and the technique of Lorenz and specific concentration curve analysis have been used as the basic analytical framework to argue that distributional inequality of income should be an explanatory variable in the Environmental Kuznets Curve relationship, along with the mean income level. In the empirical exercise, Johansen's cointegration analysis technique is used to explore existence of statistically significant cointegrating vector(s) relating mean emission and Specific Concentration Ratio of emission to mean income level and Lorenz Ratio of income, using a set of country-group specific time series data set which covers four country-groups (viz., Africa, America, Asia and Europe) and the World as a whole. The empirical results confirm that the inter-country income inequality has significant effect on the mean emission level and inter-country inequality of emission level for most of the country-groups considered.     

The Optimal Asymptotic Income Tax Rate

This paper shows that a policy maker needs only two types of information to set the optimal income tax rate at the top: a measure of labor supply elasticity and the shape of skills distribution. We find that the asymptotic tax rate is not affected by the degree of inequality aversion as long as the marginal utility of consumption converges to zero. By using empirically plausible estimates for the compensated labor supply elasticity and the shape of skills distribution, we find that the optimal marginal tax rate at the top should be between 33% and 60%, which is in line with the existing rates in the real world.     

EQUITY-SENSITIVE INDICATORS OF LIVING STANDARDS WITH AN APPLICATION TO NORTHERN IRELAND

The level of a region's achievement with respect to a particular outcome is usually measured by the mean value of that outcome. This, however, ignores the fact that the distribution of that outcome, between population or geographical subgroups in that region, may be unequal: in order to reflect this inequality, ‘equity‐sensitive’ indicators make a downward adjustment to the mean value of the outcome. This paper extends the notion of ‘equity‐sensitive’ indicators which take cognisance of inter‐group inequality, to ‘equity‐sensitive’ indicators which paid heed to intra‐group inequality. It constructs – using data from a Northern Ireland survey into poverty and social exclusion conducted in 2002/2003 –‘equity‐sensitive indicators’ of living standards in Northern Ireland. These take account of both the average level of the standard of living and also inequality in these levels between groups, and between persons in these groups.     

SIZE-DISTRIBUTION OF EARNINGS AND HOUSEHOLD INCOMES IN SMALL SOCIALIST COUNTRIES

Part I: Availability and meaning of East European distributional statistics are discussed. Part II: Measures of inequality to be used in this study are examined: the Gini coefficient of concentration, though superior to some other single indicators, is found to be an unreliable comparative measure of inequality, and is therefore supplemented by a set of ratios of selected percentiles to the median. Part III: Inequality of full-time gross monthly earnings is measured for (almost) the whole civilian working population and for some subpopulations (selected industries, men, women) in Czechoslovakia and Yugoslavia through 1970, in Hungary through 1968: the observed inequality appears to be less than in small capitalist countries, in spite of the reversal of the socialist egalitarian trend in the 'sixties. The main factor of equalization of socialist earnings are small interoccupational and interregional differentials and a very flat age profile. Part IV: The socio-economic structure of households, the size of samples underlying the distributional statistics, and the composition of household “revenues” (wage and salary earnings, agricultural incomes, social security payments, relatively unimportant property incomes, as well as non-income cash flows) are examined. Inequality coefficients are estimated for per capita revenues of all households as well as subpopulations of households in Czechoslovakia and Hungary, and some information is given on the distribution of household incomes in Yugoslavia. Part V: Limits of desirable equalization of earnings are discussed. With very narrowly dispersed short-term earnings, lifetime earnings tend to be rather unequally distributed because of the variation of earning years among occupations. With largely equalized primary incomes, per capita household incomes tend to be more unequally distributed, in spite of massive transfers, because of the varying ratio of earners to dependents within households. The need of income differentials as incentives to work, the probable trade-off between income equality and economic growth, and socialist distributive principles are outlined.     

A TREATMENT OF ABSOLUTE INDICES OF POLARIZATION*

Absolute polarization indices remain unchanged under equal absolute augmentation in all incomes. This paper identifies the class of absolute polarization indices whose orderings of alternative income distributions agree with the rankings generated by nonintersecting absolute polarization curves. We explore the possibility of using the Kolm (1976) – Blackorby‐Donaldson (1980) ethical absolute inequality index in polarization measurement. We establish that although inequality and polarization are dissimilar concepts, different absolute inequality indices can be employed to design alternative absolute polarization indices. A numerical illustration is provided using Indian data and it is shown that inequality and polarization are different issues in income distribution analysis.     

The Evolution of Income-related Health Inequalities in Switzerland Over Time

This article presents new evidence on income-related healthinequality and its development over time in Switzerland. Weemploy the methods lined out in Van Doorslaer and Jones (2003,"Inequalities in self-reported health: validation of a new approachto measurement", Journal of Health Economics 22(1), 61–78)and Van Doorslaer and Koolman (2004, "Explaining the differencesin income-related health inequalities across European Countries",Health Economics 22(7), 609–628) measuring health usingan interval regression approach to compute concentration indicesand decomposing inequality into its determining factors. Nationallyrepresentative survey data for 1982, 1992, 1997, and 2002 areused to carry out the analysis. Looking at each of the fouryears separately the results indicates the usual positive relationshipbetween income and health, but the distribution is among theleast unequal in Europe. No clear trend emerges in the evolutionof the inequality indices over the two decades. A small butsignificant increase over the first 15 years is followed bystabilization if not a slight decrease in total income-relatedhealth inequality. The most important contributors to healthinequality are income, education and activity status, in particular,retirement. Regional differences including the widely varyinghealth care supply, in contrast, do not exert any systematicinfluence. (JEL codes: D32, I10, I12)     

A Post-Keynesian Response to Piketty's ‘Fundamental Contradiction of Capitalism’

In Capital in the Twenty-First Century, Thomas Piketty presents a rich set of data that deals with income and wealth distribution, output-wealth dynamics and rates of return. He also proposes some ‘laws of capitalism’. At the core of his argument lies the ‘fundamental inequality of capitalism’, an empirical regularity stating that the rate of return on wealth is greater than the growth rate of the economy. This simple construct allows him to conclude that increasing wealth (and income) inequality is an inevitable outcome of capitalism. While we share some of his conclusions, we will highlight some shortcomings of his approach based on a Cambridge post-Keynesian growth-and-distribution model. The paper makes four points. First, r?>?g is not necessarily associated with increasing inequality in functional distribution. Second, Piketty succumbs to a fallacy of composition when he claims that a necessary condition for r?>?g is that capitalists save a large share of their capital income. Third, post-Keynesians can learn from Piketty's insights about personal income distribution and incorporate them into their models. Fourth, we reiterate the post-Keynesian argument that a well-behaved aggregate production function does not exist and cannot explain income distribution.     

CORRUPTION AND INCOME INEQUALITY IN THE UNITED STATES

In this study we analyze the effects of corruption on income inequality. Our analysis advances the existing literature in three ways. First, instead of using one of the corruption indices assembled by various investment risk services, we use an objective measure of corruption: the number of public officials convicted in a state for crimes related to corruption. Second, we minimize the problems which are likely to arise because of data incomparability by examining the differences in income inequality across the United States. Finally, we exploit both time series and cross‐sectional variation in the data. We find robust evidence that an increase in corruption increases income inequality. (JEL D31, D73, I32)     

PREDICTING STOCK RETURNS AND VOLATILITY WITH INVESTOR SENTIMENT INDICES: A RECONSIDERATION USING A NONPARAMETRIC CAUSALITY‐IN‐QUANTILES TEST

Evidence of monthly stock returns predictability based on popular investor sentiment indices, namely S^BW and S^PLS as introduced by Baker and Wurgler (2006, 2007) and Huang et al. (2015) respectively are mixed. While, linear predictive models show that only S^PLS can predict excess stock returns, nonparametric models (which accounts for misspecification of the linear frameworks due to nonlinearity and regime changes) finds no evidence of predictability based on either of these two indices for not only stock returns, but also its volatility. However, in this paper, we show that when we use a more general nonparametric causality‐in‐quantiles model of Balcilar et al., (forthcoming), in fact, both S^BW and S^PLS can predict stock returns and its volatility, with S^PLS being a relatively stronger predictor of excess returns during bear and bull regimes, and S^BW being a relatively powerful predictor of volatility of excess stock returns, barring the median of the conditional distribution.     

Deriving Long-Run Inequality Series from Tax Data*

Prior to the last three decades, regular surveys on household income were rare or non-existent in many developed countries, making it difficult for economists to develop long-run series on income distribution. Using taxation statistics, which tend to be available over a longer time span, I propose a method for imputing the incomes of non-taxpayers, and deriving the underlying distribution of income. Because taxation statistics are typically disaggregated by gender, it is possible to derive separate income distribution series for men and women in countries where individuals file separately. I show that over the past four decades, the distribution of adult male incomes and the distribution of family incomes are highly correlated. Applying this method to Australia, I develop a new annual series for inequality from 1942 to 2001. Inequality fell in the 1950s and the 1970s, and rose during the 1980s and 1990s – a pattern similar to that in the UK.     

Bread and Social Justice: Measurement of Social Welfare and Inequality Using Anthropometrics

We address the question of the measurement of health achievement and inequality in the context of variables exhibiting an inverted-U relation with health and well-being. The chosen approach is to measure separately achievement and inequality in the health increasing range of the variable, from a lower survival bound a to an optimum value m, and in the health decreasing range from m to an upper survival bound b. Because in the health decreasing range, the equally distributed equivalent value associated with a distribution is decreasing in progressive transfers, the paper introduces appropriate relative and absolute achievement and inequality indices to be used for variables exhibiting a negative association with well-being. We then discuss questions pertaining to consistent measurement across health attainments and shortfalls, as well as the ordering of distributions exhibiting an inverted-U relation with well-being. An illustration of the methodology is provided using a group of five Arab countries.     

Inequality and network structure

We explore the manner in which the structure of a social network constrains the level of inequality that can be sustained among its members, based on the following considerations: (i) any distribution of value must be stable with respect to coalitional deviations, and (ii) the network structure itself determines the coalitions that may form. We show that if players can jointly deviate only if they form a clique in the network, then the degree of inequality that can be sustained depends on the cardinality of the maximum independent set. For bipartite networks, the size of the maximum independent set fully characterizes the degree of inequality that can be sustained. This result extends partially to general networks and to the case in which a group of players can deviate jointly if they are all sufficiently close to each other in the network.     

QUANTILE FORECASTS OF FINANCIAL RETURNS USING REALIZED GARCH MODELS*

This article applies the realized generalized autoregressive conditional heteroskedasticity (GARCH) model, which incorporates the GARCH model with realized volatility, to quantile forecasts of financial returns, such as Value‐at‐Risk and expected shortfall. Student's t‐ and skewed Student's t‐distributions as well as normal distribution are used for the return distribution. The main results for the S&P 500 stock index are: (i) the realized GARCH model with the skewed Student's t‐distribution performs better than that with the normal and Student's t‐distributions and the exponential GARCH model using the daily returns only; and (ii) using the realized kernel to take account of microstructure noise does not improve the performance.     

Approximating unanimity orderings: An application to Lorenz dominance

Stochastic dominance and Lorenz dominance are examples of orderings which require unanimous agreement among an infinite set of indices. This paper considers various subsets of inequality measures that respect Lorenz dominance, and assesses the extent to which a small number of indices can reproduce the Lorenz ordering. Using income data for 80 countries, our results suggest that Lorenz dominance can be predicted with 99% accuracy using just 3 or 4 inequality measures, as long as two of them focus on the extreme upper and lower tails of the distribution. In contrast, confining attention to the index families and parameter ranges normally considered may fail to detect the majority of occasions when Lorenz curves intersect. These results lead us to question the faith placed in procedures based on a finite set of inequality indices, and to suggest that similar lessons will apply to other types of unanimity orderings.     

Decomposing poverty changes into vertical and horizontal components

Variations in aggregate poverty indices can be due to differences in average poverty intensity, to changes in the welfare distances between those poor of initially unequal welfare status and/or to emerging disparities in welfare among those poor of initially similar welfare status. This note uses a general cost‐of‐inequality approach that decomposes the total change in poverty into a sum of indices of each of these three components. This decomposition can serve inter alia to integrate horizontal and vertical equity criteria in the poverty alleviation assessment of social and economic programmes. The use of these measures is briefly illustrated using Tunisian data.     

DUAL‐INDEX MEASUREMENT OF INCOME INEQUALITY

This study introduces the concept of unequally distributed income and proposes a dual‐index measurement of income inequality that evaluates the magnitude and dispersion of unequally distributed income. We use the Rawlsian index as a magnitude index and employ current income inequality indices as a dispersion index. We describe the properties of the Rawlsian and dispersion indices, and apply these indices to real income data. Further, we show that the Gini dispersion index is a weighted average of Rawlsian indices for the sub‐distributions of the unequally distributed income distribution.     

KUZNETS HYPOTHESIS IN A PANEL OF STATES

This paper uses a new comprehensive cross‐state panel for the United States over the 1945–2004 period to reassess the relationship between income inequality and economic development. By employing the pooled mean group estimator of Pesaran, Shin, and Smith (1999) , it detects a long‐run cointegrating association between inequality and development (as well as its squared term). Moreover, their relationship is better characterized by a U shape rather than the inverted‐U profile asserted by Kuznets (1955) . The evidence is robust to a variety of sensitivity tests. (JEL C14, C21, O11, O15)