Physical description 
1 online resource (xxi, 174 pages) : illustrations (some color). 
Series 
Lecture Notes in Economics and Mathematical Systems, 00758442 ; 679


Lecture notes in economics and mathematical systems ; 679.


Springer English/International eBooks 2015  Full Set

Bibliography 
Includes bibliographical references and index. 
Contents 
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, SelfSimilarity and Empirics  Proportionalityinduced Distribution Laws  Preferences and Coalitions. 
Summary 
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 Pikettyℓ́ℓs bestseller ℓ́ℓCapital in the TwentyFirst Centuryℓ́ℓ or in the important book ℓ́ℓThe Price of Inequalityℓ́ℓ 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 socalled 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 socalled Atkinson theorem, writes in his foreword to the book: ℓ́ℓ[The authors] contribute directly to the recent debates that are going on in politics. [ℓ́Œ] with this book the foundation of arguments concerning a proper balance in income distribution in the sense of identifying an ℓ́ℓefficient℗ℓinequality rangeℓ́ℓ has got an additional push from mathematics, which I appreciate very much.ℓ́ℓ. 
Other author 
Radermacher, FranzJosef, author.


SpringerLink issuing body.

Subject 
Income distribution  Mathematical models.


Electronic books. 

Electronic books. 
ISBN 
9783319132242 

3319132245 

9783319132235 
