Identifying the Unique Polarization Index: A Mean‐Preserving Axiomatic Approach

In this paper, we propose a new axiomatic approach to identify the unique polarization index from a class of polarization measures proposed by Esteban and Ray. Methodologically, we consider the absolute income or the mean normalized income instead of the logarithm of income, which in our opinion is useful under various circumstances. Accordingly, we propose a set of mean‐preserving axioms so that the obfuscating effects of income scale can be removed. We also discuss some properties of the polarization indices based on different types of income differences.     

Household Characteristics and the Distribution of Income In Italy: An Application of Social Distance Measures

The Lorenz criterion of preferable distributions fails to distinguish adequately between convergence to the global mean and clustering around local means. This concern has motivated independent work by Wolfson, and Esteban and Ray on the notion of polarization. In this paper I build on this recent work by providing a new method that characterizes changes in the entire distribution, rather than focussing only on dispersion. In particular, the approach proposed offers a new decomposition method of within- and between-group components that differs from the classical method of additively decomposable inequality indices. The new method can monitor which factors modified the entire distribution, where precisely on the distribution these factors had an effect, and what determined the variation in the level of social distance between groups or geographic areas. Summary statistics of the observed movements and of distance between and divergence among the estimated and the counterfactual distributions are provided as well as a new index of social distance. The new method is then applied to Italian data on income distribution between 1987 and 1995.     

POLARIZATION BY SUB-POPULATIONS IN SPAIN, 1973–91

We use an extension of the Esteban and Ray (1994) approach to polarization in order to analyze the role of different household characteristics in the formation of groups in Spanish expenditure distribution, e.g. educational level, position in the labor market, and region. According to a first approach we assume that groups are determined by a characteristic that their members share, and we study which gives rise to a higher level of polarization. In a second approach we can also investigate which characteristics better explain an observed level of polarization, assuming that income proximity determines the group to which one belongs. In both cases we take into account the effect of social stratification on polarization.     

Unequal uncertainties and uncertain inequalities: an axiomatic approach

In this paper, we provide an axiomatic characterization of social welfare functions for uncertain incomes. Our most general result is that a small number of reasonable assumptions regarding welfare orderings under uncertainty rule out pure ex ante as well as pure ex post evaluations. Any social welfare function that satisfies these axioms should lie strictly between the ex ante and the ex post evaluations of income distributions. We also provide an axiomatic characterization of the weighted average of the minimum and the maximum of ex post and ex ante evaluations.     

Income Support and Stigma Effects for Young Australians

The central research question addressed in this article is how receipt of income support payments affects the well‐being of youths. Using 1997–2004 panel data from a nationally representative survey of Australian youths, we attempt to estimate the size of the welfare stigma faced by Australian youths, where stigma is defined as the effect of welfare receipt on reported happiness levels. In analysing the determinants of happiness, we argue that it is important to control for dynamics and initial conditions. The latter arguably measures an initial setpoint of happiness which the psychology literature has found strong support for. In contrast to the general findings of the existence of a welfare stigma for adults, based on our results using dynamic panel probit models, our findings suggest that for Australian youths there is a small negative, but not statistically significant, stigma associated with welfare receipt.     

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.     

Averaging Income Distributions

Various inequality and social welfare measures often depend heavily on the choice of a distribution of income. Picking a distribution that best fits the data involves throwing away information and does not allow for the fact that a wrong choice can be made. Instead, Bayesian model averaging utilizes a weighted average of the results from a number of income distributions, with each weight given by the probability that a distribution is ‘correct’. In this study, prior densities are placed on mean income, the mode of income and the Gini coefficient for Australian income units with one parent (1997–8). Then, using grouped sample data on incomes, posterior densities for the mean and mode of income and the Gini coefficient are derived for a variety of income distributions. The model‐averaged results from these income distributions are obtained.     

Intergenerational Income Persistence in Urban China

Intergenerational income elasticities are estimated using samples for urban China (covering many cities) for the years 1995 and 2002 and compared with results from other studies. We find that the income relation between the pairs—sons and fathers, sons and mothers, and daughters and mothers—are in 2002 all similar in magnitude. In contrast the relation between daughters' and fathers' income is weaker. The income relationship between offspring and mothers was weaker in 1995 than in 2002. Our preferred estimates of income persistence for the son/father pairs of 0.47 for 1995 and 0.53 for 2002 are higher than those which have been reported in the literature for several high‐income countries with large welfare states. The strength of the income link between sons and fathers in urban China appears to be not very different from what has been reported for countries such as Brazil, Chile, and the U.S.     

Rethinking Work and Income Maintenance Policy: Promoting Gender Equality Through a Citizens' Basic Income

A citizens' basic income scheme is based on the principles of individuality, universality, and unconditionality; when combined with the notion of meeting "basic needs" it would serve to provide a minimum income guarantee for all adult members of society. However, implementation would entail radical reform of existing patterns of welfare delivery and would bring into question the institutionalized relationship between work and welfare, a basic premise of modern welfare states. To date, the debate over a citizens' basic income has emphasized its effects on labor markets, thereby displaying an androcentric bias. Although the role of women in society is central to social policy reform, the existing basic income literature is disturbingly void of any comprehensive treatment of women. No genuine discussion has taken place about the nature of women's lives and work and how these should be valued. Social policy reform should take account of all gender inequalities and not just those relating to the traditional labor market. This paper argues that the citizens' basic income model can be a tool for promoting gender-neutral social citizenship rights, but that any future marriage of justice and efficiency must first divorce work from income.     

Electoral Systems, Legislative Process, and Income Taxation

We characterize the equilibrium income tax schedules and the optimality conditions under two types of political institutions, a two-party plurality system with a single district, and one with multiple districts where tax policies are determined through a legislature. It is shown that the exogenous social welfare functions in the optimal taxation literature can be endogenously determined by explicitly modeling the political institutions, which put different welfare weights on different subsets of the population. This paper also extends the Coughlin probabilistic voting model and the Baron–Ferejohn legislative bargaining model to a function space.     

Household inequality, social welfare, and trade

Working with Sen social welfare functions (meaning explicit separability between mean income and income dispersion), we develop a generalized dual approach to tracking household inequality aspects of social welfare in general equilibrium. We highlight how household equity can be examined analytically alongside production efficiency in duality-based models, using our dual framework to explore potential trade-offs between efficiency and equity effects of trade policy. Our results complement the set of standard inequality results in trade theory focused on functional rather than household inequality. We also find that the relative distributional impact of tariffs on welfare is conditional on the initial level of inequality.     

Income comparison and happiness: The role of fair income distribution

Relative income gap is one of the most popular approaches for explaining the income–happiness relationship. We argue in this article that when people compare their incomes, they care about distributional fairness more than relative income disparity. It is difficult for us to explain China's income–happiness paradox if we simply compare the income gap and do not explore the income‐generation process leading to income inequality. We therefore employ an approach based on a responsibility‐sensitive theory of justice that decomposes individual income into fair and unfair components. As a proxy for distributional unfairness, unfair income is considered the main source of unhappiness. Using data from the Chinese Household Income Project survey, we find strong support for the negative relationship between income unfairness and happiness. We also find a significantly positive relationship between the relative income gap and income unfairness, which leads us to consider the income comparison hypothesis as the explanation for the income–happiness paradox in a new light. Sensitivity analyses confirm the robustness of our results.     

Income Inequality and Political Polarization: Time Series Evidence Over Nine Decades

Rising income inequality and political polarization have led some to hypothesize that the two are causally linked. Properly interpreting such correlations is complicated by multiple factors driving these phenomena, potential feedback between inequality and polarization, measurement issues, and the statistical challenges of modeling non‐stationary variables. We find that a more precise measure of inequality (the inverted Pareto–Lorenz coefficient) is more consistently and statistically related to polarization in the short and long runs than the less precise top 1 percent share of income. We find bi‐directional causality between polarization and inequality, consistent with theoretical conjecture and less formal evidence in previous studies.     

收入分布、破坏性创新与社会福利

通过构建破坏性创新企业与在位企业进行市场竞争的双寡头博弈模型,分析在具有不同收入分布特征市场中破坏性创新企业的市场绩效及社会福利。研究发现,在收入差距较大的市场中,破坏性创新企业获得更大的市场份额和利润,社会福利相对较小;相反,在收入水平较高且分布趋向同质的市场中,在位企业获得更大的市场份额和利润,并且,破坏性创新厂商的利润随着收入水平的提高而降低。同时,随着收入水平的提高,两企业的产品质量不断提高,但质量差距不断扩大,社会总福利也随之增加。最后,进一步阐释了破坏性创新更多地发生于贫富差距较大的新兴市场的微观机制,为企业根据不同市场的收入分布特征选择竞争战略提供理论依据,为相关国家基于收入分布特点制定限制或支持破坏性创新创业政策提供理论参考。     

Income Mobility, Inequality and Social Welfare

It is often argued that an observation of rising annual income inequality need not have negative normative implications. The argument is that if there has been a sufficiently large simultaneous increase in mobility, the inequality of income measured over a longer time period can be lower despite the rise in annual inequality. In this paper, it is shown by example that if normative implications are drawn from a standard social welfare function, the set of circumstances put forward in the above argument are not sufficient to guarantee that social welfare will improve. The reason is that even though rising mobility does reduce longer term inequality, it also increases the variability of income profiles over time and the latter has a detrimental social welfare effect. Hence, there are two types of mobility: one which reduces inequality (regression to the mean), but another that increases inequality (relative movements uncorrelated with incomes). Further, if individuals' aversion to income variabiltiy is sufficiently larger than the social welfare judge's aversion to inequality, then an increase in mobility, no matter how large, cannot offset the negative normative effect of rising annual inequality.     

Neighbors' Income,Public Goods,and Well‐Being

How does neighbors' income affect individual well‐being? Our analysis is based on rich U.S. local data from the Behavioral Risk Factor Surveillance System, which contains information on where respondents live and their self‐reported well‐being. We find that the effect of neighbors' income on individuals' self‐reported well‐being varies with the size of the neighborhood included. In smaller areas such as ZIP codes, we find a positive relationship between median income and individuals' life satisfaction, whereas it is the opposite at the county, MSA, and state levels. We provide evidence that local public goods and local area characteristics such as unemployment, criminality, and poverty rates drive the association between satisfaction and neighbors' income at the ZIP code level. The neighbors' income effects are mainly concentrated among poorer individuals and are as large as one quarter of the effect of own income on self‐reported well‐being.     

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.     

A General Approach to Welfare Measurement through National Income Accounting*

A framework is developed for analyzing national income accounting using a revealed welfare approach that is sufficiently general to cover, both the standard discounted utilitarian and maximin criteria as special cases. We show that the basic welfare properties of comprehensive national income accounting, previously ascribed only to the discounted utilitarian case, extend to this more general framework. In particular, under a wider range of circumstances, it holds that real NNP growth (or, equivalently, a positive value of net investments) indicates welfare improvement. We illustrate the applicability of our approach in the Dasgupta–Heal–Solow model of capital accumulation and resource depletion.     

Income Taxation, Endogenous Factor Prices and Production Efficiency

In an analysis of a two‐type income tax model with endogenous wages, this paper shows that production efficiency is violated in the optimum with (i) non‐linear and (ii) linear income taxation if and only if a distortionary tax schedule is implemented. These findings complement earlier results of the literature. In passing, it is also shown that optima with non‐linear redistributive income taxation cannot be identified with the redistributive regime if the assumption of endogenous wages is taken seriously.     

A POSITIVE AND A NORMATIVE THEORY OF INCOME DISTRIBUTION

A positive theory of income distribution based on assumptions concerning the supply of and demand for each type of productive service is presented. The demand function of the organizers of production may be derived from the maximization of profits with the income scale and the production function as restrictions. A normative theory based on the maximization of a social utility or welfare function is also considered. In the normative theory, production functions and balance equations (some representing compartmentalization of factor markets) are introduced as restrictions and again an income scale results, this time maximizing social welfare. Empirical testing is also considered. The positive theory was developed in part to take into consideration the fact that personal income distributions can reasonably well be described by log normal distributions, and that skill parameters are often normally distributed. Limited testing of the influence of wealth, intelligence, education, and sex suggest that these account for only a small part of the variance in the income distribution. This suggests the need for further research.