Measurements of income inequality: a critique. Inflation and income inequality: a link through the job- search process

In this paper I claim that, in a long-run perspective, measurements of income inequality, under any of the usual inequality measures used in the literature, are upward biased. The reason is that such measurements are cross-sectional by nature and, therefore, do not take into consideration the turnover in the job market which, in the long run, equalizes within-group (e.g., same-education groups) inequalities. Using a job-search model, I show how to derive the within-group invariant-distribution Gini coefficient of income inequality, how to calculate the size of the bias and how to organize the data in arder to solve the problem. Two examples are provided to illustrate the argument.

Neighborhood feedbacks, endogenous stratification, and income inequality

This paper explores the evolution of the cross-section income distribution in economies where endogenous neighborhood formation interacts with positive within-neighborhood feedback effects. We study an economy in which the economic success of adults is determined by the characteristics of the families in the neighborhood in which a person grows up. These feedbacks take two forms. First, the tax base of a neighborhood affects the leveI of education investment in offspring. Second, the effectiveness of education investment is affected by a neighborhood's in come distribution, reflecting factors such as role model or labor market connection effects. Conditions are developed under which endogenous stratification, defined as the tendency for families wi th similar incomes to choose to form common communities, will occur. When families are allowed to choose their neighborhoods, wealthy families will have an incentive to segregate themselves from the rest of the population. This resulting stratification is supported by house price differences between ricli and poor communities. Endogenous stratification can lead to pronounced intertemporal inequality as different families provide very different interaction environments for offspring. When the transformation of human capital into in come exhibits constant retums to scale, cross-section in come differences may also grow across time. As a result, endogenous stratification and neighborhood feedbacks can interact to produce long run inequality.

Convergence in Brazil: recent trends and long run prospects

This paper applies to the analysis of the interstate income distribution in BraziI a set of techniques that have been widely used in the current empirical literature on growth and convergence. Usual measures of dispersion in the interstate income distribution (the coefficient of variation and Theil' s index) suggest that cr-convergence was an unequivoca1 feature of the regional growth experience in BraziI, between 1970 and 1986. After 1986, the process of convergence seems, however, to have sIowed down almost to a halt. A standard growth modeI is shown to fit the regional data well and to expIain a substantial amount of the variation in growth rates, providing estimates of the speed of (conditional) J3-convergence of approximateIy 3% p.a .. Different estimates of the long run distribution implied by the recent growth trends point towards further reductions in the interstate income inequality, but also suggest that the relative per capita incomes of a significant number of states and the number of ''very poor" and "poor" states were, in 1995, already quite c10se to their steady-state values.

Impacto sobre a renda per capita de longo prazo de um sistema de aposentadoria de repartição simples

Este trabalho constrói um modelo de gerações sobrepostas em tempo contínuo de acumulação de capital. Os indivíduos passam por dois períodos de vida distintos. No primeiro, que transcorre entre o nascimento até a idade de T anos, os indivíduos ofertam trabalho inelasticamente, consomem e acumulam capital de forma ótima e se defrontam com uma probabilidade de morte nula. No segundo aposentam-se e passam a ter uma probabilidade de morte positiva, auferindo renda do patrimõnio acumulado ej ou recebendo transferências financiadas com imposto distorcido sobre a renda. Neste caso há um sistema de previdência de repartição simples. A partir da agregação das escolhas individuais, encontra-se uma equação para o capital de estado estacionário no sistema fundado e no sistema de repartição simples. Pode-se então calcular a renda de estado estacionário em cada um dos sistemas e a sensibilidade do diferencial de renda com ralação a diversos parâmetros.

Income composition, endogenous fertility and schooling investments in children

This paper studies how the eomposition of ineome between mothers and fathers affeets fertility and sehooling investments in ehildren, using data from the 1976 and 1996 PNAD, a Brazilian household survey. Ineome composition affeets the time eost of fertility because mothers and fathers alloeate different amounts of time to child-rearing. These effects are in turn transmitted to investments in ehildren through a tradeoffbetween quantity and quality of ehildren. The main contribution of this paper is twofold. First, it derives new implications about the relationship between household ineome composition and schooling investments in ehildren. Seeond, this paper devises and implements an empirieal approaeh to assess these implieations, using two eross-seetions of fertility and schooling data from Brazil. The main empirical findings of the paper ean be summarized as follows. First, the empirical analysis shows that a larger negative effect of the mother's labor in come on fertility in 1996 is associated with a larger positive effect on the adult child's schooling, refleeting the interaction between quantity and quality of children. Second, the larger negative effect of the mother's labor income on fertility in 1996 is associated with a reduction in the effect of other determinants of number of children. This suggests that an increase in the relative importanee of time costs of fertility may be an important determinant of variations in fertility over time in Brazil and other developing countries .

A competitive growth model with endogenous fertility

This paper investigates the interaction between endogenous fertility behavior and the distribution of income and wealth arnong farnilies in a competitive market economy. We construct a growth model in which altruistic dynasties are heterogeneous in their initial stocks of physical capital. Dynasties make choices of farnily size along with decisions about consumption and intergenerational transfers. We show that if the rate of time preference is increasing in the number of children and preferences over nurnber of children satisfy a norrnality assumption, all steady states are characterized by equality of capital stocks and consumption arnong families. We also provide sufficient conditions for uniqueness of the steady state. In order to illustrate these results, we present an example in which preferences over number of children are logarithrnic and the technology is Cobb-Douglas. For this combination of preferences and technology, there exists a unique egalitarian steady state. Moreover, the economy converges to this steady state in only one generation .