This paper develops the mathematical foundations of comparison, referential, and relative (CRR) processes. The key ingredients are: (1) three kinds of terms; and (2) two kinds of relations. Combining the three terms - absolute amount, relative amount, and relative rank - with the two kinds of...

Over the last four decades, academic and wider public interest in inequality and poverty has grown substantially. In this paper we address the question: what have been the major new directions in the analysis of inequality and poverty over the last thirty to forty years? We draw attention to...

This study aimed to identify the major factors underlying the large discrepancy in poverty levels between two Brazilian racial groups: whites and Afro-Brazilians. We performed an Oaxaca-Blinder-type decomposition for nonlinear regressions in order to quantify the extent to which differences in...

This paper investigates the source of the gap in the relative wealth position of immigrant households residing in Australia, Germany and the United States. Our results indicate that in Germany and the United States wealth differentials are largely the result of disparity in the educational...

Social scientists study two kinds of inequality: inequality between persons (as in income inequality) and inequality between subgroups (as in racial inequality). This paper analyzes the mathematical connections between the two kinds of inequality. The paper proceeds by exploring a set of...

We analyze the distribution and concentration of market incomes in Germany in the period 1992 to 2001 on the basis of an integrated data set of individual tax returns and the German Socio-Economic Panel. The unique feature of this integrated data set is that it encompasses the whole spectrum of...

Models of status based on Frank's (1985) count of the number of people with lower conspicuous consumption are inconsistent with the extensive empirical literature on happiness and well-being. The alternative approach to consumption interaction which uses some form of relative income has been...

The goal of scientific work is to understand more and more by less and less. In this effort, theoretical unification plays a large part. There are two main types of theoretical unification - unification of different theories of the same field of phenomena and unification of theories of different...

This paper analyses the duration of child poverty in Germany. In our sample, we observe the entire income history from the individuals' birth to their coming of age at age 18. Therefore we are able to analyze dynamics in and out of poverty for the entire population of children, whether they...

Recent work on social status led to derivation of a new continuous distribution based on the exponential. The new variate, termed the ring(2)-exponential, in turn leads to derivation of two closely-related new families of continuous distributions, which we call the mirror-exponential and the...