This monograph initially offers a systematic treatment of the theory and methodology of alternative notions of income polarization and related issues. It then goes on to analyze social polarization, ordinal polarization, and the relations between inequality polarization, fractionalization and likelihood of conflicts. Axiomatic approaches to the measurement of polarization from different perspectives are analyzed rigorously. In order to understand the difference between inequality and polarization, a discussion on income inequality is also included.
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1 Measuring Income Inequality |
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1 | (32) |
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1 | (1) |
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2 | (2) |
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1.3 Postulates for an Index of Inequality |
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4 | (11) |
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1.4 Ethical Approaches to the Measurement of Inequality |
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15 | (11) |
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1.5 Subgroup Decomposable Indices of Inequality |
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26 | (7) |
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2 On the Measurement of Income Bipolarization |
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33 | (20) |
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33 | (2) |
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2.2 Measuring the Middle Class |
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35 | (2) |
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2.3 Axioms for an Index of Income Bipolarization |
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37 | (3) |
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2.4 A Bipolarization Ordering and Some Relative Bipolarization Indices |
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40 | (8) |
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2.5 Alternative Notions of Bipolarization Invariance and the Associated Orderings |
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48 | (2) |
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2.6 Welfare Theoretic Approaches to the Measurement of Bipolarization |
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50 | (3) |
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3 Measurement of Income Multipolar Polarization |
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53 | (10) |
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53 | (1) |
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3.2 Income Multipolar Polarization for Discrete Distributions |
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54 | (3) |
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3.3 Income Multipolar Polarization for Continuous Distributions |
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57 | (3) |
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60 | (3) |
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4 Reduced-Form Indices of Income Polarization |
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63 | (14) |
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63 | (2) |
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65 | (1) |
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66 | (2) |
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68 | (3) |
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4.5 Analysis of Reduced-Form Indices and Their Eventual Differences |
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71 | (6) |
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77 | (20) |
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77 | (3) |
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5.2 A Discrete Metric-Based Index |
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80 | (3) |
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5.3 Some Characterizations and a Generalized Index |
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83 | (4) |
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5.4 Some Alternative Indices |
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87 | (4) |
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5.5 A Social Polarization Ordering |
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91 | (6) |
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6 Measuring Polarization for a Dimension of Human Well-being with Ordinal Significance |
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97 | (12) |
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97 | (1) |
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6.2 Axioms for an Index of Bipolarization for a Dimension Measurable on Ordinal Scale |
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98 | (6) |
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6.3 Some Indices of Bipolarization for a Dimension of Well-being with Ordinal Information |
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104 | (1) |
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6.4 The Identification--Alienation Approach to Polarization Measurement for a Dimension with Ordinal Representation |
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105 | (2) |
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6.5 Bipolarization Orderings for an Ordinal Dimension |
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107 | (2) |
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7 Fractionalization, Polarization, and Conflict |
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109 | (12) |
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109 | (2) |
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111 | (4) |
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7.3 Inequality and Fractionalization |
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115 | (1) |
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7.4 Inequality, Polarization, and Fractionalization as Indicators of Conflict: A Behavioral Model |
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116 | (5) |
| Glossary of Notation |
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121 | (2) |
| Extended Bibliography |
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123 | (10) |
| Index |
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133 | |
Satya R. Chakravarty is a Professor of Economics at the Indian Statistical Institute, Kolkata, India. He has articles published in many internationally known journals and edited volumes on welfare issues, cooperative game theory, industrial organization and mathematical finance; and books published by Cambridge University Press and Springer. He is an Associate Editor of Social Choice and Welfare, a member of the Editorial Board of Journal of Economic Inequality and a Co-editor of Economics E Journal. He is a consultant to the Asian Development Bank, an external adviser of the World Bank and worked as an adviser of the National Council of Social Policy Evaluation, Mexico. He was awarded the Mahalanobis memorial prize by the Indian Econometric Society in 1994 and is a fellow of the Human Development and Capability Association.
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