Income Modeling and Balancing

Dr. Thomas Kämpke is a senior scientist at the Research Institute for Applied Knowledge Processing in Ulm, Germany. He is working in various areas of applied sciences including mathematical modeling in economical and technological applications. Prof. Dr. Dr. Franz Josef Radermacher (Dr. h.c.) holds a faculty position for "Data Bases / Artificial Intelligence" at the University of Ulm and, at the same time, is the Director of FAW/n (Research Institute for Applied Knowledge Processing/n), Ulm. Member of the Club of Rome and of several national and international advisory boards as well as President of the Senat der Wirtschaft e. V. (Senate of the Economy), Bonn, President of the Global Economic Network (GEN), Vienna, and Vice President of the Ecosocial Forum Europe, Vienna.

• Lorenz curves, orders and redistribution: Introduction.- The Generalized Inverse of Distribution Functions.- Lorenz Densities and Lorenz Curves.- Lorenz Curves and Partial Orders.- Transfer and Distribution Approximation.- Societal Utility and the Atkinson Theorem.- Lorenz Curves and Models: Pareto Distribution, Self-Similarity and Empirics.- Proportionality-induced Distribution Laws.- Preferences and Coalitions.

"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. ... The book is useful for academics and professionals in the field of economy, applied mathematics and policy." (Pavel Stoynov, zbMATH 1314.91007, 2015)