Income Modeling and Balancing: A Rigorous Treatment of Distribution Patterns

ISBN-13: 9783319132235 / Angielski / Miękka / 2015 / 174 str.

Thomas Kampke; Franz J. Radermacher

Opis

This bookpresents a rigorous treatment of the mathematical instruments available for dealing with income distributions, in particular Lorenz curves and related methods. The methods examinedallow usto analyze, compare and modify such distributions from an economic and social perspective. Though balanced income distributions are key to peacefulcoexistencewithin and between nations, it is often difficultto identify the right kind of balance needed, because there is an interesting interaction with innovation and economic growth. Theissue of justice, as discussed in Thomas Piketty sbestseller Capital in the Twenty-First Century or in the important book The Price of Inequality by Nobel laureate Joseph Stiglitz, is also touched on. Further, there is a close connection to the issue of democracy in the context of globalization. One highlight of the book is its rigorous treatment of the so-called Atkinson theorem and some extensions, which help to explainunder which type of societal utility functions nations tend to operate either in the direction of more balance or less balance. Finally, there are some completely new insights into changing the balance pattern of societies and the kind of coalitions between richer and poorer partsof society to organize political support in democracies in either case. Oxford University's Sir Tony Atkinson, well known for his so-called Atkinson theorem, writes in his foreword tothe book: The authors] contribute directly to the recent debates that are going on in politics. ] with this book the foundation of arguments concerning a proper balance in income distribution in the sense of identifying an efficientinequality range has got an additional push from mathematics, which I appreciate very much. "

Recenzje

"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)

Spis treści

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.

O autorze

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.