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...

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...

We study the phenomenon of strategic polarization in group interactions. Agents with private preferences choose a public action (e.g., voice opinions), and the mean of their actions represents the group’s realized outcome. They face a trade-off between influencing the group outcome and...

We examine the socially optimal wealth distribution in a two-person two-good model with heterogeneous workers and asymmetric social interactions where only one (social) individual derives positive or negative utility from the leisure of the other (non-social) individual. We show that the...

We examine the socially optimal wealth distribution in a two-person two-good model with heterogeneous workers and asymmetric social interactions where only one (social) individual derives positive or negative utility from the leisure of the other (non-social) individual. We show that the...

This article contrasts a direct social interaction mechanism with market interactions in an attempt to explain how social interactions affect decisions concerning individuals' human capital and their possible impact on income distribution

Inequality is anisotropic: its intensity is variable along the income scale. Therefore, to focus on local inequalities, a new representation, the isograph, is developed to figure their variations. This leads to the expression of three coefficients able to summarize the shape of inequalities: a...