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Titlebook: Income Modeling and Balancing; A Rigorous Treatment Thomas K?mpke,Franz Josef Radermacher Book 2015 Springer International Publishing Switz

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書(shū)目名稱Income Modeling and Balancing
副標(biāo)題A Rigorous Treatment
編輯Thomas K?mpke,Franz Josef Radermacher
視頻videohttp://file.papertrans.cn/464/463306/463306.mp4
概述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 in
叢書(shū)名稱Lecture Notes in Economics and Mathematical Systems
圖書(shū)封面Titlebook: Income Modeling and Balancing; A Rigorous Treatment Thomas K?mpke,Franz Josef Radermacher Book 2015 Springer International Publishing Switz
描述.?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 an
出版日期Book 2015
關(guān)鍵詞Atkinson Theorem; Lorenz curves; Proportionality laws; Redistribution; Utility of distributions
版次1
doihttps://doi.org/10.1007/978-3-319-13224-2
isbn_softcover978-3-319-13223-5
isbn_ebook978-3-319-13224-2Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer International Publishing Switzerland 2015
The information of publication is updating

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Lorenz Densities and Lorenz Curveson of a Lorenz curve is used. Basic properties of Lorenz curves are given as well as approximation results. Interestingly, when a sequence of distribution functions converges to a limit distribution function, the corresponding sequence of Lorenz curves need not converge to the Lorenz curve of the li
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Lorenz Curves and Partial Ordersvalent to majorization of vectors in case the Lorenz curves belong to finite discrete distributions. For arbitrary distributions with equal expectations the Lorenz order is equivalent to the convex stochastic order. This quite known relation is explicitly verified..Also, a formula for expected utili
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Pareto Distribution, Self-similarity and Empirics, also, is unique among self-similar Lorenz curves as well as among all so-called Gini self-similar Lorenz curves. Median self-similarity leads to a wider solution manifold but every function of this manifold is interpolated by a Pareto distribution. The Pareto distribution is also obtainable from a
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Preferences and Coalitionshe redistribution. When inequality is to be increased in the interest of some, coalition partners must be found by compensation schemes. Compensation minimization is shown to lead to coalition partners being either a connected or a disconnected income group. When inequality reaches certain critical
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different ways resulting in multi-switching behavior. While some successful instances are documented in the literature, a generic solution to this complex problem remains elusive. This research aims to systematically explore multi-switching compound synchronization among nonidentical chaotic systems
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