LEADER 04781nam 22006855 450 001 9910298489003321 005 20200919195156.0 010 $a3-319-13224-5 024 7 $a10.1007/978-3-319-13224-2 035 $a(CKB)3710000000356816 035 $a(EBL)1974104 035 $a(SSID)ssj0001451886 035 $a(PQKBManifestationID)11789697 035 $a(PQKBTitleCode)TC0001451886 035 $a(PQKBWorkID)11479332 035 $a(PQKB)11599640 035 $a(DE-He213)978-3-319-13224-2 035 $a(MiAaPQ)EBC1974104 035 $a(PPN)184497957 035 $a(EXLCZ)993710000000356816 100 $a20150212d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aIncome Modeling and Balancing $eA Rigorous Treatment of Distribution Patterns /$fby Thomas Kämpke, Franz Josef Radermacher 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (193 p.) 225 1 $aLecture Notes in Economics and Mathematical Systems,$x0075-8442 ;$v679 300 $aDescription based upon print version of record. 311 $a3-319-13223-7 320 $aIncludes bibliographical references and index. 327 $aLorenz 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. 330 $aThis book presents a rigorous treatment of the mathematical instruments available for dealing with income distributions, in particular Lorenz curves and related methods. The methods examined allow us to analyze, compare and modify such distributions from an economic and social perspective. Though balanced income distributions are key to peaceful coexistence within and between nations, it is often difficult to identify the right kind of balance needed, because there is an interesting interaction with innovation and economic growth. The issue of justice, as discussed in Thomas Piketty?s bestseller ?Capital in the Twenty-First Century? or in the important book ?The Price of Inequality? by Nobel laureate Joseph Stiglitz, is also touched on. Further, there is a close connection to the issue of democracy in the context of globalization. One highlight of the book is its rigorous treatment of the so-called Atkinson theorem and some extensions, which help to explain under which type of societal utility functions nations tend to operate either in the direction of more balance or less balance. Finally, there are some completely new insights into changing the balance pattern of societies and the kind of coalitions between richer and poorer parts of society to organize political support in democracies in either case. Oxford University's Sir Tony Atkinson, well known for his so-called Atkinson theorem, writes in his foreword to the book: ?[The authors] contribute directly to the recent debates that are going on in politics. [?] with this book the foundation of arguments concerning a proper balance in income distribution in the sense of identifying an ?efficient inequality range? has got an additional push from mathematics, which I appreciate very much.?. 410 0$aLecture Notes in Economics and Mathematical Systems,$x0075-8442 ;$v679 606 $aEconomics 606 $aEconomic policy 606 $aGame theory 606 $aEconomic Theory/Quantitative Economics/Mathematical Methods$3https://scigraph.springernature.com/ontologies/product-market-codes/W29000 606 $aEconomic Policy$3https://scigraph.springernature.com/ontologies/product-market-codes/W34010 606 $aGame Theory, Economics, Social and Behav. Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13011 615 0$aEconomics. 615 0$aEconomic policy. 615 0$aGame theory. 615 14$aEconomic Theory/Quantitative Economics/Mathematical Methods. 615 24$aEconomic Policy. 615 24$aGame Theory, Economics, Social and Behav. Sciences. 676 $a330 676 $a330.0151 676 $a330.1 676 $a338.9 676 $a519 700 $aKämpke$b Thomas$4aut$4http://id.loc.gov/vocabulary/relators/aut$01059226 702 $aRadermacher$b Franz Josef$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910298489003321 996 $aIncome Modeling and Balancing$92504702 997 $aUNINA