Lectures on inequality, poverty and welfare

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1. Verfasser: Villar, Antonio 1954- (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: [Cham, Schweiz] Springer [2017]
Schriftenreihe:Lecture notes in economics and mathematical systems 685
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Datensatz im Suchindex

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adam_text Contents 1 Introduction.......................................................... 1 1.1 Equality and Welfare............................................ 1 1.1.1 We Have a Problem.......................................... 1 1.1.2 Measuring Inequality and Poverty........................... 4 1.13 Purpose................................................... 5 1.2 Equality of What?............................................... 6 1.2.1 Income Distributions....................................... 6 1.2.2 Wealth, Income and Expenditures............................ 7 1.2.3 The Units of Reference: Equality Among Whom?............... 9 1.2.4 Needs and Deserts....................................... 10 1.2.5 Multidimensionality..................................... 11 1.3 Plan of the Book............................................. 11 References.......................................................... 13 Part I Inequality 2 Inequality Indices..................................................... 19 2.1 Introduction................................................... 19 2.2 Properties of Inequality Indices................................ 20 2.3 Inequality and Dispersion........................................ 24 2.3.1 The Variance ( 72)...................................... 25 2.3.2 The Coefficient of Variation (CV)....................... 29 References.......................................................... 29 3 Positive Inequality Indices.......................................... 31 3.1 The Lorenz Curve................................................. 31 3.2 The Gini Index............................................... 34 3.2.1 From Lorenz to Gini....................................... 34 3.2.2 The Generalised Gini Index................................ 37 3.3 Theil’s Inequality Indices....................................... 39 3.3.1 The First Index of Theil: From Information Theory to Inequality Measurement................................... 39 3.3.2 The Second Index of Theil (Mean Logarithmic Deviation)............................................... 42 3.3.3 The Generalised Indices of Theil (T0).................... 44 3.4 Quantile Measures: The Palma Ratio.............................. 48 Appendix: Decomposability of the Generalised Indices of Theil........ 53 References.......................................................... 55 4 Normative Inequality Indices.......................................... 57 4.1 Introduction.................................................... 57 4.1.1 The Arrowian Approach to Nonnative Inequality Indices ... 57 4.1.2 The Social Evaluation Function Approach.................. 60 4.2 Dalton’s Approach to Inequality Measurement..................... 60 4.3 Atkinson Inequality Measures.................................... 62 4.3.1 Preliminaries............................................ 62 4.3.2 The Atkinson Family of Inequality Indices................ 64 4.3.3 The Atkinson and the Entropy Families of Inequality Indices.................................................. 68 References....................................................... 70 5 Inequality of Opportunity............................................. 73 5.1 Introduction.................................................... 73 5.2 Measuring Inequality of Opportunity by Theil’s Inequality Index........................................................... 76 5.2.1 Motivation............................................... 76 5.2.2 The Model................................................ 77 5.2.3 The Second Index of Theil................................ 80 5.3 Equality of Opportunity With Categorical Data................... 81 5.3.1 Motivation............................................... 81 5.3.2 The Model................................................ 82 5.3.3 Empirical Illustration: Inequality of Opportunity in Compulsory Education in the OECD, According to PISA (2012)................................................. 84 Appendix............................................................. 87 References........................................................... 91 6 Inequality and Welfare................................................ 93 6.1 Introduction.................................................... 93 6.2 Social Evaluation Functions..................................... 94 6.3 Multidimensional Inequality and Welfare........................ 101 6.3.1 Multidimensional Welfare Indicators..................... 103 6.3.2 Multidimensional Inequality............................. 105 6.3.3 Weights and Units....................................... 107 6.4 The Human Development Index.................................... 109 References........................................................... 110 Part II Poverty 7 Poverty Measurement................................................. 115 7.1 Introduction.................................................. 115 7.2 Poverty Indices............................................... 117 7.2.1 Head Count Ratio........................................ 118 7.2.2 Poverty Gap Measures.................................... 119 7.2.3 The Sen’s Family of Poverty Measures.................... 120 7.2.4 Decomposable Poverty Measures........................... 121 7.3 Multidimensional Poverty Indices.............................. 122 7.4 Deprivation and Non-monetary Poverty Measures................. 125 7.4.1 At Risk of Poverty or Social Exclusion (AROPE).......... 125 7.4.2 The United Nations Multidimensional Poverty Index...... 127 References.......................................................... 133 8 Multidimensional Poverty and Welfare................................ 135 8.1 Introduction.................................................. 135 8.2 The Setting................................................. 136 8.3 Adding Structure.............................................. 139 8.3.1 Quasi-concavity, Scale and Factor Decomposability...... 139 8.3.2 Multiplicative Factor Decomposability................... 141 8.4 Closing the Formula........................................... 142 8.4.1 Anonymity, Inequality and Welfare....................... 142 8.4.2 Subgroup Decomposability................................ 143 8.5 Measuring Educational Poverty from PISA................... 145 8.5.1 The Model............................................... 145 8.5.2 The Results............................................. 147 8.5.3 Final Comments.......................................... 151 References.......................................................... 151 9 The Evaluation of Relative Achievements............................ 155 9.1 Introduction................................................ 155 9.2 The Basic Model............................................... 156 9.2.1 Measuring the Achievements.............................. 157 9.2.2 Application to the Example of the Hypothetical University.............................................. 161 9.3 Extensions.................................................... 162 9.3.1 Weighted Symmetry and Weighted Neutrality............... 162 9.3.2 Generalised Means..................................... 164 9.3.3 A Graphical Illustration................................ 165 9.4 An Application: The Green Economy Progress Index.............. 166 9.4.1 The Setting............................................. 166 9.4.2 The Index............................................... 168 9.4.3 Results................................................. 171 References.......................................................... 171
any_adam_object 1
author Villar, Antonio 1954-
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discipline Wirtschaftswissenschaften
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series Lecture notes in economics and mathematical systems
series2 Lecture notes in economics and mathematical systems
spellingShingle Villar, Antonio 1954-
Lectures on inequality, poverty and welfare
Lecture notes in economics and mathematical systems
Includes bibliographical references and index
Soziale Ungleichheit (DE-588)4055736-4 gnd
Armut (DE-588)4002963-3 gnd
Sozialhilfe (DE-588)4055776-5 gnd
Messung (DE-588)4038852-9 gnd
subject_GND (DE-588)4055736-4
(DE-588)4002963-3
(DE-588)4055776-5
(DE-588)4038852-9
title Lectures on inequality, poverty and welfare
title_auth Lectures on inequality, poverty and welfare
title_exact_search Lectures on inequality, poverty and welfare
title_full Lectures on inequality, poverty and welfare Antonio Villar
title_fullStr Lectures on inequality, poverty and welfare Antonio Villar
title_full_unstemmed Lectures on inequality, poverty and welfare Antonio Villar
title_short Lectures on inequality, poverty and welfare
title_sort lectures on inequality poverty and welfare
topic Soziale Ungleichheit (DE-588)4055736-4 gnd
Armut (DE-588)4002963-3 gnd
Sozialhilfe (DE-588)4055776-5 gnd
Messung (DE-588)4038852-9 gnd
topic_facet Soziale Ungleichheit
Armut
Sozialhilfe
Messung
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029409430&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link (DE-604)BV000000036
work_keys_str_mv AT villarantonio lecturesoninequalitypovertyandwelfare