Income modeling and balancing. A rigorous treatment of distribution patterns (Q2263148)

The book gives a rigorous treatment of income modeling and balancing. The topic is related to scientific questions in theoretical economics, applied mathematics, politics and sociology. A key concern here is that unbalanced income distribution produces social problems instead of progress. The central tool for studying income distribution -- the Lorenz curve -- appears in both parts of the book. Part 1 (Lorenz curves, orders and redistribution) introduces several key concepts, like generalized inverse of a distribution function (Chapter 2), Lorenz densities and Lorenz curves (Chapter 3), partial orders (Chapter 4), transfer and distribution approximation (Chapter 5). The last chapter of this part (Chapter 6) elaborates on the Atkinson theorem. This theorem allows interpretations which are important for a better understanding of the social and income structure of a society. Part 2 (Lorenz curves and models) considers Pareto distribution and self-similarity (Chapter 7) and deals with issues like proportionality-induced distribution laws (Chapter 8), preferences and coalitions (Chapter 9). The book is useful for academics and professionals in the field of economy, applied mathematics and policy. Since behind mathematical formulas we find the issue of social inequality, the reading is very actual in the context of the contemporary processes of globalization and regionalization and their coexistence with the democracy.