Measuring Economic Insecurity

We provide a systematic treatment of the notion of economic insecurity, assuming that an individual’s sentiment of insecurity depends on the current wealth level and its variations experienced in the past. We think of wealth as a comprehensive variable encompassing anything that may help in coping with adverse occurrences. The current wealth level could also be interpreted as incorporating the individual’s evaluation of future prospects. Variations in wealth experienced in the recent past are given higher weight than experiences that occurred in the more distant past. Two classes of measures are characterized with sets of plausible and intuitive axioms.Insecurity, Wealth Distribution, Social Index Numbers

Dynamic Measures of Individual Deprivation

We introduce a one-parameter class of individual deprivation measures. Motivated by a suggestion of Runciman, we modify Yitzhaki’s index by multiplying it by a function that is interpreted as measuring the part of deprivation generated by an agent’s observation that others in his reference group move on to a higher level of income than himself. The parameter reflects the relative weight given to these dynamic considerations, and the standard Yitzhaki index is obtained as a special case. In addition, we characterize more general classes of measures that pay attention to this important dynamic aspect of deprivationDeprivation, Equity, Individual Well-Being.

Is Wealth Becoming More Polarized in the United States?

Recent work has documented a rising degree of wealth inequality in the United States between 1983 and 1998. In this paper we look at another dimension of the distribution: polarization. Using techniques developed by Esteban and Ray (1994) and extended by D'Ambrosia (2001), we examine whether a similar pattern exists with regard to trends in wealth polarization over this period. The approach followed provides a decomposition method, based on counterfactual distributions, that allows one to monitor which factors modified the entire distribution and precisely where on the distribution these factors had an effect. An index of polarization is provided, as are summary statistics of the observed movements and of distance and divergence among the estimated and the counterfactual distributions. The decomposition method is applied to U.S. data on the distribution of wealth between 1983 and 1998. We find that polarization between homeowners and tenants and among different educational groups continuously increased from 1983 to 1998, while polarization by income class continuously decreased. In contrast, polarization by racial group increased from 1983 to 1989 and then declined from 1989 to 1998, while polarization by age group followed the opposite pattern. We also find that most of the observed variation in the overall wealth density over the 1983–98 period can be attributed to changes in the within-group wealth densities rather than changes in household characteristics.

The Measurement of Social Exclusion

This paper develops an axiomatic approach to the measurement of social exclusion. At the individual level, social exclusion is viewed in terms of deprivation of the person concerned with respect to different functionings in the society. At the aggregate level we treat social exclusion as a function of individual exclusions. The class of subgroup decomposable social exclusion measures using a set of independent axioms is identified. We then look at the problem of ranking exclusion profiles by exclusion dominance principle under certain restrictions. Finally, applications of decomposable and non-decomposable measures suggested in the paper using European Union and Italian data are also considered.Social Exclusion, Axioms, Characterization, Dominance, Application, Policy

Individual Well-Being in a Dynamic Perspective

This paper explores the determinants of individual well-being as measured by self-reported levels of satisfaction with income. Making full use of the panel data nature of the German Socio-Economic Panel, we provide empirical evidence for well-being depending on absolute and on relative levels of income in a dynamic framework. This finding holds after controlling for other influential factors in a multivariate setting. The main novelty of the paper is the consideration of dynamic aspects: individual's own history as well as the relative income performance with respect to the others living in the society under analysis do play a major role in the assessment of well-being.Interdependent Preferences, Inequality Aversion, Status, Subjective Well-Being, SOEP

"Is Wealth Becoming More Polarized in the United States?"

Recent work has documented a rising degree of wealth inequality in the United States between 1983 and 1998. In this paper we look at another dimension of the distribution: polarization. Using techniques developed by Esteban and Ray (1994) and extended by D'Ambrosia (2001), we examine whether a similar pattern exists with regard to trends in wealth polarization over this period. The approach followed provides a decomposition method, based on counterfactual distributions, that allows one to monitor which factors modified the entire distribution and precisely where on the distribution these factors had an effect. An index of polarization is provided, as are summary statistics of the observed movements and of distance and divergence among the estimated and the counterfactual distributions. The decomposition method is applied to U.S. data on the distribution of wealth between 1983 and 1998. We find that polarization between homeowners and tenants and among different educational groups continuously increased from 1983 to 1998, while polarization by income class continuously decreased. In contrast, polarization by racial group increased from 1983 to 1989 and then declined from 1989 to 1998, while polarization by age group followed the opposite pattern. We also find that most of the observed variation in the overall wealth density over the 1983-98 period can be attributed to changes in the within-group wealth densities rather than changes in household characteristics.

Subjective Well-Being and Relative Deprivation: An Empirical Link

This paper explores the relationship between two well-established con-cepts of measuring individual well-being: the concept of happiness, i.e. self-reported level of satisfaction with income and life, and relative deprivation/satisfaction, i.e. the gaps between the individual's income and the incomes of all individuals richer/poorer than him. Operationalizing both concepts using micro panel data from the German Socio-Economic Panel, we provide empirical evidence for subjective well-being dependingmore on relative satisfaction than on absolute levels of income. This finding holds even after controlling for other influential factors in a multivariate setting.Relative deprivation; Satisfaction; Subjective well-being; SOEP

The Distribution of Wages: A Non-parametic Decomposition

This paper presents a non-parametric procedure to analyze the effects of different factors on observed movements in any distribution. These effects are estimated by applying kernel density methods to weighted samples in order to obtain counterfactual distributions. The advantage of this approach is that it provides a direct means of investigating if these factors have an impact and where in the density they do so, and it offers a new decomposition method of within and between group components. The approach to the decomposition analysis applied in this paper differs from the classical one of additively decomposable inequality indexes. If the purpose of the analysis is to understand what determined the variation in relative inequality, there is no doubt that the decomposition of the indexes belonging to the generalized entropy family is the best method. If, instead, the aim is to monitor what factors modified the entire distribution, where precisely on the distribution these factors had an effect, and what determined the variation in the level of polarization observed, then that method is useless. The non-parametric method proposed is the one to use, but with one caveat: All the results assume that there are no general equilibrium effects. The paper contains summary statistics of the observed movements and of distance and divergence among the estimated and counterfactual distributions; an original modification of an index of polarization; and an application of the method to the Italian distribution of wages.

"The Distribution of Wages: A Non-parametric Decomposition"

This paper presents a non-parametric procedure to analyze the effects of different factors on observed movements in any distribution. These effects are estimated by applying kernel density methods to weighted samples in order to obtain counterfactual distributions. The advantage of this approach is that it provides a direct means of investigating if these factors have an impact and where in the density they do so, and it offers a new decomposition method of within and between group components. The approach to the decomposition analysis applied in this paper differs from the classical one of additively decomposable inequality indexes. If the purpose of the analysis is to understand what determined the variation in relative inequality, there is no doubt that the decomposition of the indexes belonging to the generalized entropy family is the best method. If, instead, the aim is to monitor what factors modified the entire distribution, where precisely on the distribution these factors had an effect, and what determined the variation in the level of polarization observed, then that method is useless. The non-parametric method proposed is the one to use, but with one caveat: All the results assume that there are no general equilibrium effects. The paper contains summary statistics of the observed movements and of distance and divergence among the estimated and counterfactual distributions; an original modification of an index of polarization; and an application of the method to the Italian distribution of wages.

Income Thresholds and Income Classes

This paper proposes a method for detecting income classes based on the change-point problem. There is an increasing demand for such a method in the literature. Computation of polarization indices requires a pre-grouping of the incomes. Similarly, indices of social exclusion and sometimes indices of income inequality require detection of thresholds. The estimation procedure is implemented using a bootstrap technique. Finally, an application of the method to EU member states and to the United States is also considered.income distribution, change-point, thresholds.