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  • © 2015

Income Modeling and Balancing

A Rigorous Treatment of Distribution Patterns

  • Comprehensive treatment of Lorenz curves and of the so-called Atkinson theorem including new results
  • Addresses Piketty’s recent discussion on income and wealth distributions of nations
  • New Insights into building political majorities in democracies for changing social balance
  • Includes a foreword by the well known economist Sir Tony Atkinson

Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 679)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xxi
  2. Lorenz Curves, Orders and Redistribution

    1. Front Matter

      Pages 1-1
    2. Introduction

      • Thomas Kämpke, Franz Josef Radermacher
      Pages 3-8
    3. The Generalized Inverse of Distribution Functions

      • Thomas Kämpke, Franz Josef Radermacher
      Pages 9-28
    4. Lorenz Densities and Lorenz Curves

      • Thomas Kämpke, Franz Josef Radermacher
      Pages 29-54
    5. Lorenz Curves and Partial Orders

      • Thomas Kämpke, Franz Josef Radermacher
      Pages 55-82
    6. Transfer and Distribution Approximation

      • Thomas Kämpke, Franz Josef Radermacher
      Pages 83-94
    7. Societal Utility and the Atkinson Theorem

      • Thomas Kämpke, Franz Josef Radermacher
      Pages 95-100
  3. Lorenz Curves and Models

    1. Front Matter

      Pages 101-101
    2. Pareto Distribution, Self-similarity and Empirics

      • Thomas Kämpke, Franz Josef Radermacher
      Pages 103-128
    3. Proportionality-Induced Distribution Laws

      • Thomas Kämpke, Franz Josef Radermacher
      Pages 129-140
    4. Preferences and Coalitions

      • Thomas Kämpke, Franz Josef Radermacher
      Pages 141-171
  4. Back Matter

    Pages 173-174

About this book

​This book presents a rigorous treatment of the mathematical instruments available for dealing with income distributions, in particular Lorenz curves and related methods. The  methods examined allow us to analyze, compare and modify such distributions from an economic and social perspective. Though balanced income distributions are key to peaceful coexistence within and between nations, it is often difficult to identify the right kind of balance needed, because there is an interesting interaction with innovation and economic growth. The issue of justice, as discussed in Thomas Piketty’s bestseller “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 explain under 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 parts of 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 to the book: “[The authors] contribute directly to t

he 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 ‘efficient inequality range’ has got an additional push from mathematics, which I appreciate very much.”  

Reviews

“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)

Authors and Affiliations

  • Department of Computer Science, University of Ulm, Ulm, Germany

    Franz Josef Radermacher

About the authors

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.

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access