Income modeling and balancing a rigorous treatment of distribution patterns / [electronic resource] :

• 作者： Kampke, Thomas.
• 其他作者：
  • Radermacher, Franz Josef.
  • SpringerLink (Online service)
• 其他題名：
  • Lecture notes in economics and mathematical systems
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Lecture notes in economics and mathematical systems679
• 主題： Income distribution--Mathematical models. , Economics/Management Science. , Economic Theory. , Economic policy , Game Theory/Mathematical Methods. , Game Theory, Economics, Social and Behav. Sciences.
• ISBN： 9783319132242 (electronic bk.) 、 9783319132235 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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.
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• 摘要註: 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 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 'efficient inequality range' has got an additional push from mathematics, which I appreciate very much."
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