INEQUALITY COMPARISONS IN A MULTI‐PERIOD FRAMEWORK: THE ROLE OF ALTERNATIVE WELFARE METRICS

This paper considers the use of alternative welfare metrics in evaluations of income inequality in a multi‐period context. Using Norwegian longitudinal income data, it is found, as in many studies, that inequality is lower when each individual's annual average income is used as welfare metric, compared with the use of a single‐period accounting framework. However, this result does not necessarily hold when aversion to income fluctuations is introduced. Furthermore, when actual incomes are replaced by expected incomes (conditional on an initial period), using a model of income dynamics, higher values of inequality over longer periods are typically found, although comparisons depend on inequality and variability aversion parameters. The results are strongly influenced by the observed high degree of systematic regression toward the (geometric) mean, combined with a large extent of individual unexpected effects.     

When income differences hurt or excite: The nonlinear effect of regional inequality on subjective wellbeing

Combining information from the European Union Statistics on Income and Living Conditions and the European Social Survey, we investigate the relationship between subjective well-being and income inequality using regional inequality indicators and individual data. We assume that inequality aversion and perception of social mobility affect the impact of regional inequality on subjective well-being in opposite directions. We find evidence of an inverse U-shaped effect of inequality, where inequality starts to have a positive effect on subjective well-being that becomes negative with a switch point before the average of the Gini index for the entire sample. The rationale for our nonlinear finding is that Hirschman's tunnel effect (and the positive effect of perceived social mobility) prevails for low levels of inequality, while inequality aversion and negative relative income effects are relatively stronger when inequality is higher. Robustness checks on different sample splits are consistent with the hypothesis of the two drivers.     

Income mobility of individuals in China and the United States

Although much has been written about annual income inequality in China, little research has been conducted on longer‐run measures of income inequality and on income mobility. This paper compares income mobility of urban individuals in China and the United States in the 1990s. The following questions are taken up: To what extent are measures of annual income inequality misleading indicators of long‐run income inequality? How much income mobility was there in China in the first half of the 1990s and how did this compare with mobility in other countries? Have real income increases been greater for the poor or the rich? How important is the variation in permanent incomes in China and how has this changed?     

Monopolistic supply of sorting,inequality, and welfare

Why is an increase in income inequality often accompanied by an increase in socioeconomic segregation? And what are the welfare implications of this comovement? This paper uses a theoretical model to analyze the relationship between income inequality and socioeconomic segregation. It shows that rising inequality can trigger sorting according to income, as a monopolist's profits from offering sorting increase with income inequality. It also examines the relationship between sorting and social welfare and shows that profit-maximizing sorting patterns are not necessarily optimal from a welfare perspective. In fact, for a broad field of income distributions (monopolist) profits increase with inequality, while at the same time total welfare from sorting decreases.     

EQUITY-EFFICIENCY PREFERENCES IN Poland AND THE SOVIET UNION: ORDER-REVERSALS UNDER THE ATKINSON INDEX

In this paper, the relation between inequality and welfare index "reversals" is characterized. By the identification of these reversals, upper and lower bounds are established for Atkinson's parameter of inequality aversion. This exercise shows that a level of inequality aversion high enough to show welfare improving over the "egalitarian decline" of 1978–81 in Poland is too high to show improvement over the "elitist growth" of 1981–86 in the Soviet Union. However, even if the lower bound of inequality aversion is assumed, plausible projections on Soviet growth and distribution still show social welfare declining.     

HOW DO EUROPEANS EVALUATE INCOME DISTRIBUTIONS? AN ASSESSMENT BASED ON HAPPINESS SURVEYS

The purpose of this paper is to measure the evaluation of income inequality by European citizens. Starting from the concept of a social welfare function defined on income distributions the paper estimates the degree and nature of inequality aversion of Europeans. It uses subjective well-being (SWB) as an empirical measure of welfare and estimates how SWB is related to average income and measures of income inequality (from an appropriate class). The estimated relationship is used to determine those inequality measures which qualify as proper representations of people's inequality aversion.     

On the Evaluation of Economic Mobility

This paper presents a framework for the evaluation and measurement of "reversal" and "origin independence" as separate aspects of economic mobility. We show that evaluation depends on aversion to multi-period inequality, aversion to inter-temporal fluctuations, and aversion to future risk. We construct "extended Atkinson indices" that allow us to quantify the relative impact of reversal and origin independence on welfare. We apply our approach to the comparison of income mobility in Germany and in the U.S.. When aversion to inequality is the only consideration, the U.S. gains more from mobility than Germany. This reflects similar gains from reversal in the two countries but greater gains in the U.S. from origin independence. The introduction of aversion to intertemporal fluctuations and aversion to future risk makes the impact of mobility in the two countries more similar.     

The Optimal Linear Income Tax Model: Utility or Equivalent Income?

This paper compares the use of equivalent income with that of utility, in the social welfare function, in optimal income tax models. Equivalent income is a money metric welfare measure that, unlike utility, is not affected by monotonic transformations of utility. The use of equivalent income is found to produce an optimal tax rate that is more sensitive to the degree of inequality aversion, compared with the use of utility. With Cobb-Douglas and CES utility functions, the optimal tax rate is the same for utility and equivalent income where relative inequality aversion is unity. When using equivalent incomes, the case for high marginal rates does not depend on the assumption of a very low elasticity of substitution between consumption and leisure.     

Taxation and Tournaments

This paper analyzes the effects of progressive taxes on labor supply and income distribution in the context of the rank‐order tournament model originally developed by Lazear and Rosen (1981). We show conditions under which a more progressive tax schedule will cause so large general equilibrium effects that the inequality in disposable income will actually increase. We also show that a non‐zero redistributive tax is always optimal if society's welfare function displays inequality aversion; this result always holds, regardless of behavioral responses and general equilibrium effects.     

中国收入差距的走势和影响因素分析

中国收入差距在过去20年中持续扩大,对经济的持续增长、社会公正与稳定都提出了挑战。本文通过计量模型检验库兹涅茨曲线在中国是否存在,证明收入差距还有继续上升的明显趋势,但其下降阶段不能确证。同时模型分析发现有一系列因素对收入差距的扩大或缩小有重要影响。这包括经济增长方面的因素、收入再分配和社会保障、公共产品和基础设施,以及制度方面的因素。这说明有可能通过合理的政策调整来控制收入差距的继续扩大。文章讨论了这些发现的政策含义。     

Measuring the Level and Inequality of Wealth: An Application to China

We construct and compare three distinct measures of household asset wealth that complement traditional income‐ or expenditure‐based measures of socioeconomic status. We apply these measures to longitudinal household survey data from China and demonstrate that household asset wealth has been increasing over time, a theme consistent with many previous studies on the process of development in China. Unlike other studies that have shown rising income inequality over time, however, we show that asset wealth inequality has actually been declining in recent years, indicating widespread participation in the benefits of economic reforms. Furthermore, the evolution in the cumulative distribution of household welfare is such that social welfare has been increasing with the passage of time, despite rising inequality in the early years of the survey.     

Analytic radicalism

Brennan and Hamlin provide a normative justification for dispositional conservatism based on the concave value functions which give rise to quasi-risk aversion. This note modifies this argument for “analytic conservatism” by allowing jurisdictional exit in response to institutional decline. By providing a welfare floor which limits the cost of failure, exit reverses the normative implications of Brennan and Hamlin’s argument, making risk-neutral agents quasi-risk seeking and justifying a radical disposition to reform under some circumstances.     

Optimum taxation with errors in administration

The paper compares the welfare levels which can be achieved by two distinct tax regimes: lump-sum taxation, where one attempts to identify individuals and allocate transfers or subsidies on the basis of characteristics, and income taxation, where characteristics are not observed but personal incomes are measured and taxed. Where there are no errors in classifying individuals, lump-sum taxation is superior, but, where mistakes are made in the allocation of lump-sum grants or subsidies, income taxation may be more attractive. The level of errors where the regimes are equally desirable in terms of social welfare is computed in simple models following that of Feldstein (1973). Where there is strong aversion to inequality, then income taxation becomes preferable at quite small errors.In analysing income taxation it is shown that in the Feldstein model with endogenous wages the marginal tax rate (in optimum income taxation) on the more skilled is negative and that on the less skilled is positive in contrast to the standard results [see Seade (1977)] with exogenous wages.     

Inequality aversion and risk aversion

This note shows that for two social welfare functions which are inequality averse with respect to certainty equivalents, if one is more inequality averse for certainty equivalents than the other, the household preference induced by optimally allocating aggregate bundles according to this social welfare function is more risk averse than the other. We present examples showing that this comparative static can be reversed if absolute inequality aversion is dropped. We show that the utilitarian rule always induces the least risk averse household preference among all social welfare functions (this corresponds to the sum of certainty equivalents).     

Poverty, inequality, and growth in urban China, 1986–2000

Although urban China has experienced spectacular income growth over the last two decades, increases in inequality, reduction in social welfare provision, deregulation of grain prices, and increases in income uncertainty in the 1990s have increased urban poverty. Using a large repeated cross section household survey from 1986 to 2000, this study maps the changes in income, inequality, and poverty over the fifteen-year period and investigates the determinants of poverty. We find that the increase in poverty in the 1990s is associated with the increase in the relative food price and the need to purchase items that were previously provided free or at highly subsidized prices by the state, i.e., education, housing and medical care. In addition, the increased saving rate of poor households, which is due to an increase in income uncertainty, contributes significantly to the increase in poverty measured in terms of expenditure. Journal of Comparative Economics 33 (4) (2005) 710–729.     

A tale of two Ginis in the US, 1921–2012

Following a methodology by Jantzen and Volpert (2012), we use IRS Adjusted Gross Income data for the US (1921–2012) to estimate two Gini indices representing inequality at the bottom and the top of the income distribution, and to calculate the overall Gini as a function of the parameters underlying the two indices. A steady increase in the overall Gini since the Second World War actually hides two different periods of distributional changes. First, the increase in inequality from the mid 1940s to the late 1970s is driven by rising inequality at the bottom of the income distribution that more than offsets a decrease in inequality at the top. The implication is that middle-income earners gained relative to high-incomes, and especially relative to low-income earners. Second, the rise in the Gini after 1981 is driven by rising inequality at the top. Third, top-driven inequality follows a U-shaped trajectory consistent with Piketty and Saez (2003, 2006). Fourth, the welfare effects of the different distributional changes behind increasing inequality can be evaluated in light of the Lorenz-dominance criterion by Atkinson (1970): we argue that the rise in inequality since 1981 is much more likely to be associated with a social welfare loss net of compensating growth.     

‘A Fair Suck of the Sauce Bottle’ or What Do You Mean by Inequality?*

The literature on the economics of inequality conventionally uses the utilitarian social welfare function as a tool for comparing income distributions. This approach usually suppresses the distinction between two types of ‘inequality aversion’. The formal analysis of these two types is examined and the results of an informal survey are reported.     

A second chance at success: A political economy perspective

This paper characterizes a stationary Markov-perfect political equilibrium where agents vote over income taxation that distorts educational investment. Agents become rich or poor through educational investment, and the poor have a second chance at success. The results show the following concerning the cost of a second chance. First, when the cost is low, the economy is characterized by high levels of upward mobility and inequality, and a low tax burden supported by the poor with prospects for upward mobility. Second, when the cost is high, there are multiple equilibria with various patterns of upward mobility, inequality and redistribution. Numerical examples show that the shift from a high-cost economy to a low-cost economy may reduce social welfare.     

Comparing Income Distributions Using Atkinson's Measure of Inequality

This article is aimed at undergraduate and graduate economics students, and public sector economists, who are interested in inequality measurement. It examines the use of the Atkinson inequality measure to compare income distributions. A major feature of this measure is that distributional value judgements are made explicit, via the use of a particular form of social welfare function. Emphasis is given to the interpretation of changes in inequality and the role of the relative inequality aversion parameter, which reflects an important feature of those value judgements.