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This chapter presents the indirect preferences for all full rank Gorman and Lewbel demand systems. Each member in this class of demand models is a generalized quadratic expenditure system (GQES). This representation allows applied researchers to choose a small number of price indices and a function of income to specify any exactly aggregable demand system, without the need to revisit the questions of integrability of the demand equations or the implied form and structure of indirect preferences. This characterization also allows for the calculation of exact welfare measures for consumers, either in the aggregate or for specific classes of individuals, and other valuations of interest to applied researchers.

Based on representative longitudinal data (CNEF 1980–2013) the paper analyzes gender differences of the level and the determinants of earnings dynamics in the work life of different cohorts of employees in Germany, Great Britain, and the United States. Notwithstanding country differences concerning the existing welfare state regime constituting the institutional settings of the labor market, the educational system, and family role models, the empirical results show decreasing earnings mobility in the work history. The earnings level, educational attainment, family size, the occupational choice, the career stage, the birth cohort, and the macroeconomic fluctuations significantly influence earnings mobility. In the United States, earnings mobility is significantly lower and gender differences are less pronounced than in Germany and Great Britain. The gender gap of earnings mobility is less expressed for younger cohorts of German employees. The increase of the gender gap of earnings dynamics in the course of the work career indicates continuing heterogeneity of labor market behavior and outcome of women and men which contribute to persistent economic and social stratification.

Using longitudinal datasets from Chile and Nicaragua, we compare intragenerational earnings mobility over a decade for two economies with similar inequality levels but divergent positions in equality of opportunities within the Latin American region. Our results suggest that earnings mobility, in terms of origin independence of individual ranking in the earnings distribution, is greater in Chile than in Nicaragua.

Economic mobility means different things to different people, but four major classes of mobility measures have been identified in the literature: positional, directional, mobility as an equaliser of long-term earnings, and earnings risk (or flux). We illustrate some advantages of a multifaceted approach by comparing German and American earnings mobility using multiple indices from each of the four major classes for three panels of 10-year intervals. We anticipate and confirm that due to extensive differences in the German and American labour markets and in other social institutions that influence labour market outcomes, each country dominates in one facet of mobility but not in the others. Thus, a multifaceted approach contributes to a better understanding of the strengths and weakness of the two systems.

In this paper, we use the distributions of order statistics to define functions with the appropriate properties to represent social preferences regarding income distributions. Following the approach of Yaari (1987, 1988), this allows constructing a set of social welfare functions from which the corresponding inequality indices are derived. The obtained measures incorporate diverse normative criteria, with different degrees of preference for equality. The generalized Gini coefficients and the family of indices proposed by Aaberge (2000) are obtained as particular cases. This approach allows interpreting each inequality measure in terms of the statistics computed from a randomly selected sample and the identification of unbiased estimators of the Social Welfare Functions. It also shows that each of the families of inequality indices are obtained from the moments of the order statistics and, therefore, each of the families characterizes any income distribution with finite mean. This characterization is very useful in the case of distributions with heavy tail and pronounced positive skew that shows only a few potential moments.

When individual or household incomes are collected for administrative or scientific surveys, the accounting period is sometimes a month, sometimes a quarter, and sometimes a year. The accounting period likely affects the shape of the income distribution and the level of measured inequality. The present study systematically explores the sensitivity of inter-temporal and inter-regional inequality comparisons to the length of the accounting period.

Introduction: The rapid technological changes have significantly decentralised the economy and social life in the last 20 years. The transformation into the digital environment and its socio-economic consequences may experience numerous issues depending on the level of development of countries. The experience of developed countries shows that digitalisation delivers a positive impact on economic development (because of increased labour productivity, transparency and reduction of the shadow economy). In fact, on the other side, economic development represent the improvement of people’s well-being.

However, it is, furthermore, the fact that delays in the process of transformation into the digital environment will lead to economic decline and as a result, social problems. Many current studies focus on the social consequences and benefits of digitalisation. In many cases, the social consequences of digitalisation (unemployment and income inequality) are exaggerated. The authors believe that the economic and social benefits (measurable and non-measurable) of digitalisation are enormous. Examples could be introduced as the emergence of new intelligent professions and specialties, the comfort of jobs and life, the ability to get the products, information and knowledge from anywhere in the world.

The history of the development of society shows that people have always been interested in the ‘comfort’ of life. It is the acceleration of digitalisation in recent years that has stated a significant place in this process.

Objective: To adequately assess the relationship between digitalisation and the comfort of life, the improvement of welfare (income, secure life and satisfaction) and to indicate the social benefits of digitalisation on a scientific basis.

Method: To identify measurable and unmeasurable factors and benefits of technological change on human life, to assess the impact of digitalisation on economic growth, income, labour productivity, intellectual development, knowledge capital and health care.

Findings: Although digitalisation will endure a number of social consequences in the short and medium term, but the well-being of people will be improved and life will be turned on more delightful, and incomes increased in the long term.

Inequality is an essential factor for the alleviation of poverty. In Cameroon, most of the households derive their livelihoods from non-wage income and a better understanding of how different variables affect income inequality is a way to reduce those inequalities and improve social welfare. Studies carried out so far barely make out the determinants among non-wage earners. This study sets out to identify these determinants, using the regression-based decomposition technique and data obtained from the 2005 Employment and Informal Sector Survey (EISS) undertaken by the National Statistic Institute (INS) in Cameroon. Results show that the total inequality of an hourly active income ensues from the ratio of age/experience and unobserved individual heterogeneity among non-wage earners.

We investigate the relationship between the notion of progressive taxation and inequality reduction under a general version of the concept of inequality equivalence. We consider a two-parameter formalization of the concept of inequality equivalence that both includes, as special cases, the intermediate inequality equivalence and the path-independent/unit-consistent inequality equivalence. Both criteria could range from relative to absolute inequality views as the parameters in the formulation change. For the path-independent/unit-consistent inequality equivalence the condition of nondecreasing average tax rate is necessary and sufficient to guarantee the inequality-reducing effect of taxation for all the inequality views in between the relative and the absolute.

Relative bipolarisation indices are usually constructed making sure that they achieve their minimum value of bipolarisation if and only if distributions are perfectly egalitarian. However, the literature has neglected discussing the existence of a benchmark of maximum relative bipolarisation. Consequently there is no discussion as to the implications of maximum bipolarisation for the optimal normalisation of relative bipolarisation indices either. In this note we characterize the situation of maximum relative bipolarisation as the only one consistent with the key axioms of relative bipolarisation. We illustrate the usefulness of incorporating the concept of maximum relative bipolarisation in the design of bipolarisation indices by identifying, among the family of rank-dependent Wang–Tsui indices, the only subclass fulfilling a normalisation axiom that takes into account both benchmarks of minimum and maximum relative bipolarisation.