INEQUALITY AND POVERTY IN JAPAN*

This paper presents a brief survey of inequality and poverty in Japan. It shows empirical evidence on the extent of both inequality in income distribution and of poverty rates; the paper discusses the cause of increases in both these variables, and the implication of such trends. The paper goes on to argue the difference between inequality of opportunity and inequality of outcome and shows some related empirical evidence. Finally, the paper investigates the relationship between economic efficiency and equity, supposed to be in a trade‐off relationship, and presents my personal view of that relationship and policy recommendations.     

INEQUALITY AND WELFARE IN EEC COUNTRIES *

Inequality and welfare comparisons are performed using simple and generalized Lorenz curves and a number of ranking criteria suggested by Shorrocks and Foster, Dardanoni and Lambert, and Davis and Hoy, on Family Expenditure Survey data of nine EEC countries. The highest levels of inequality are observed in Italy and Greece and the lowest in Denmark, Belgium and France, whereas welfare is found to be relatively low in Greece and Ireland and relatively high in Belgium and France.     

MULTILEVEL DECOMPOSITION METHODS FOR INCOME INEQUALITY MEASURES*

This paper studies the multilevel decomposability of the respective income inequality measures proposed by Theil, Rao and Bahattacharya–Maharanobis. All the methods can be decomposed into multilevels if and only if each lower level subgroup belongs to only one particular higher level group. We found not only analytically but also empirically that the residual in the decomposed Bahattacharya–Maharanobis measure tends to increase when the decomposition levels increase. We conclude that Theil's and Rao's decompositions have advantages in empirical analysis and that the choice of the decomposition methods depends on the purpose of the analysis.     

WELFARE GAINS AND LOSSES IN SUNSPOT EQUILIBRIA*

We study a standard two period exchange economy with one nominal asset. As is well known, there is a continuum of sunspot equilibria around each efficient equilibrium. A sunspot equilibrium is inefficient but some households may gain in sunspot equilibria relative to the efficient equilibrium. We show that a household's equilibrium utility level is either locally maximized or locally minimized at the efficient equilibrium, and derive a condition which identifies whether or not a household's utility is locally minimized or maximized.     

RELATIVE INEQUALITY, ABSOLUTE INEQUALITY, AND WELFARE: LARGE SAMPLE TESTS FOR PARTIAL ORDERS

Two general welfare criteria, mean-relative Lorenz and mean-absolute Lorenz dominance, induce partial orders on income distributions. We propose asymptotically distribution-free inference procedures, based on the union-intersection principle, for these two welfare criteria. Unlike classical tests, our procedures allow one to distinguish among dominance, equality, and noncomparability. We show that union-intersection tests must be used to test for partial orders, and that the statistical ordering is acyclic. The tests are applied to compare the UK distribution of real family income to five other countries.     

An experimental study on individual choice, social welfare, and social preferences

We experimentally study subjects’ compliance with dominance relationships of income distributions in a ranking task. The experiment consisted of four different treatments: Lottery, individual choice, social preferences, and social planner. Our results suggest that people's risk attitudes do not adequately reflect their inequality attitudes. Uninvolved social planners exhibit randomization preferences, while self-interested social planners are generally more inequality averse and try to avoid extreme outcomes.     

The measurement of rank mobility

In this paper we investigate the problem of measuring social mobility when the social status of individuals is given by their rank. In order to sensibly represent the rank mobility of subgroups within a given society, we address the problem in terms of partial permutation matrices which include standard (“global”) matrices as a special case. We first provide a characterization of a partial ordering on partial matrices which, in the standard case of global matrices, coincides with the well-known “concordance” ordering. We then provide a characterization of an index of rank mobility based on partial matrices and show that, in the standard case of comparing global matrices, it is equivalent to Spearman's ρ index.     

Filtral preorders and opportunity inequality

We compare profiles of opportunity sets by means of set-inclusion filtral preorders (SIFPs). Some significant results of the classic theory of income inequality are reproduced in the SIFP-framework.     

MIGRATION,MEDICAL AID AND WELFARE*

This paper constructs a simple rural‐urban migration model that explicitly incorporates the interactions between the individual's migration decision, the risk of incurring an infectious disease and unemployment. We show that providing a subsidy for health investment in urban regions in the form of medical aid does not improve individual welfare. This is because it induces further urban migration, increases the risk of infection and unemployment, and offsets completely the positive cost‐reduction effect.     

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.     

A little fairness may induce a lot of redistribution in democracy

We use a model of self-centered inequality aversion suggested by Fehr and Schmidt (Quart. J. Econom. 114 (3) (1999) 817) to study voting on redistribution. We theoretically identify two classes of conditions when an empirically plausible amount of fairness preferences induces redistribution through referenda. We test the predictions of the adapted inequality aversion model in a simple redistribution experiment and find that it predicts voting outcomes far better than the standard model of voting assuming rationality and strict self-interest.     

Does less inequality among households mean less inequality among individuals?

Consider an income distribution among households of the same size in which individuals, equally needy from the point of view of an ethical observer, are treated unfairly. Individuals are split into two types, those who receive more than one half of the family budget and those who receive less than one half. We look for conditions under which welfare and inequality quasi-orders established at the household level still hold at the individual one. A necessary and sufficient condition for the Generalized Lorenz test is that the income of dominated individuals is a concave function of the household income: individuals of poor households have to stand more together than individuals of rich households. This property also proves to be crucial for the preservation of the Relative and Absolute Lorenz criteria, when the more egalitarian distribution is the poorest. Extensions to individuals heterogeneous in needs and more than two types are also provided.     

INCOME INEQUALITY AND POLITICAL POLARIZATION AND FRACTURALIZATION:AN EMPIRICAL INVESTIGATION OF SOME EUROPEAN COUNTRIES

This paper investigates the relationship between economic inequality and the distribution of votes among political parties, namely political polarization and fracturalization. Economic inequality is captured by the Gini index, whereas new measures of political polarization and fracturalization are offered. This is the first paper to calculate political polarization and fracturalization indices by a methodology previously used for ethnic, religious and linguistic polarization and fracturalization. Empirical analysis uses data for 17 European countries and for three decades, 1980s, 1990s and 2000s. It is shown that increased income inequality increases political party polarization and reduces fracturalization and that political party polarization decreases with increased GDP per capita.     

LIFETIME AND VERTICAL INTERTEMPORAL INEQUALITY, INCOME SMOOTHING, AND REDISTRIBUTION: A SOCIAL WELFARE APPROACH

Between and within-households intertemporal inequality indices are proposed to highlight the vertical and lifetime (i.e. cyclical) components of overall intertemporal inequality. Comparison with the classical static inequality indices is made. Income redistribution and smoothing (i.e. stabilization) are conveniently defined as the public policy impact on welfare, by means of the relative increase in intertemporal vertical and cyclical equity, respectively. The issue is important as many public policies are aimed at both (vertical and cyclical equity) objectives. Our approach provides a more appropriate evaluation of the desirability of public reforms aimed at achieving a greater vertical and cyclical equity, within a social welfare framework.     

Chronic and transient poverty: Measurement and estimation, with evidence from China

The paper contributes to the measurement of poverty and vulnerability in three ways. First, it proposes a new approach to separating poverty into chronic and transient components. Second, it provides corrections for the statistical biases introduced when using a small number of periods to estimate the importance of vulnerability and transient poverty. Third, it applies these tools to the measurement of chronic and transient poverty in China using a rich panel data set that extends over 17 years. Alternative measurement techniques are found to yield significantly different estimates of the relative importance of chronic and transient poverty. The precision of the estimates is also considerably enhanced by simple statistical corrections.