The economic theory of income inequality [Research Reviews]
M.O. Lorenz (1905), 'Methods of Measuring the Concentration of Wealth' Publications of the American Statistical Association, 9 (70), June, 20919  Daniel B. Levine and Neil M. Singer (1970), 'The Mathematical Relation Between the Income Density Function and the Measurement of Income...
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Edward Elgar Pub. Ltd
2013

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Summary:  M.O. Lorenz (1905), 'Methods of Measuring the Concentration of Wealth' Publications of the American Statistical Association, 9 (70), June, 20919  Daniel B. Levine and Neil M. Singer (1970), 'The Mathematical Relation Between the Income Density Function and the Measurement of Income Inequality', Econometrica, 38 (2), March, 32430  Joseph L. Gastwirth (1971), 'A General Definition of the Lorenz Curve', Econometrica, 39 (6), November, 103739  N.C. Kakwani (1977), 'Applications of Lorenz Curves in Economic Analysis', Econometrica, 45 (3), April, 71927  Rolf Aaberge (2009), 'Ranking Intersecting Lorenz Curves', Social Choice and Welfare, 33 (2), August, 23559  S. Ch. Kolm ([1969] 2001), 'The Optimal Production of Social Justice', in J. Margolis and H. Guitton (eds), Public Economics: An Analysis of Public Production and Consumption and Their Relations to the Private Sectors, Chapter 7, London: UK, Macmillan, 145200 (corrected by author and reset)  Gary S. Fields and John C.H. Fei (1978), 'On Inequality Comparisons', Econometrica, 46 (2), (March), 30316.  Irving Fisher (1930), The Theory of Interest, Macmillan.  March Fleurbaey and François Maniquet (2011), A Theory of Fairness and Social Welfare, Cambridge University Press.  Corrado Gini (1912), Variabilità e Mutabilità, Bologna.  Claudia Goldin and Lawrence F. Katz (2008), The Race Between Education and Technology, The Belknap Press of Harvard University.  G.H. Hardy, J.E. Littlewood, and G. Pólya (1952), Inequalities, Second Edition, Cambridge University Press. (Reprinted edition 1967.)  Jack Hirshleifer and John G. Riley (1992), The Analytics of Uncertainty and Information, Cambridge University Press.  SergeChristophe Kolm (1976a), 'Unequal Inequalities. I', Journal of Economic Theory, 12, 41642.  SergeChristophe Kolm (1976b), 'Unequal Inequalities. II', Journal of Economic Theory, 13, 82111.  Robert Sugden (1993), 'Welfare, Resources, and Capabilities: A Review of Inequality Reexamined by Amartya Sen', Journal of Economic Literature, 31 (4), (December), 194762.  Larry S. Temkin (1993), Inequality, Oxford University Press.  James E. Foster (1985), 'Inequality Measurement', in H. Peyton Young (ed.), Fair Allocation, American Mathematical Society, Providence, Rhode Island, 3168  Joseph Persky (1992), 'Retrospectives: Pareto's Law', Journal of Economic Perspectives, 6 (2), Spring, 18192 Jan Pen (1971), Income Distribution, Allen Lane: The Penguin Press.  Thomas Piketty and Emanual Saez (2003), 'Income Inequality in the United States: 19131998', Quarterly Journal of Economics, 118, (February), 139.  A.C. Pigou (1912), Wealth and Welfare, Macmillan and Co, Ltd.  A.C. Pigou (1920), The Economics of Welfare, Macmillan and Co., Ltd.  Graham Pyatt (1976), 'On the Interpretation and Disaggregation of the Gini Coefficients', The Economic Journal, 86 (342), (June), 24355.  Michael Rothschild and Joseph E. Stiglitz (1973), 'Some Further Results on the Measurement of Income Inequality', Journal of Economic Theory, 6 (2), (April), 188204.  Donald G. Saari (2001), Decisions and Elections: Explaining the Unexpected, Cambridge University Press.  Donald G. Saari (2008), Disposing Dictators, Demystifying Voting Paradoxes: Social Choice Analysis, Cambridge University Press.  Dominique Thon and Stein W. Wallace (2004), 'Dalton Transfers, Inequality and Altruism', Social Choice and Welfare, 22 (3), June, 44765  Ronny Aboudi, Dominique Thon and Stein W. Wallace (2010), 'Inequality Comparisons when the Populations Differ in Size', Journal of Economic Inequality, 8 (1), March, 4770  Amartya Sen (1974), 'Informational Bases of Alternative Welfare Approaches', Journal of Public Economics, 3 (4), November, 387403  Camilo Dagum (1990), 'On the Relationship between Income Inequality Measures and Social Welfare Functions', Journal of Econometrics, 43 (12), 91102  Karl Mosler and Pietro Muliere (1996), 'Inequality Indices and the Starshaped Principle of Transfers', Statistical Papers, 37 (4), December, 34364  Robert Dorfman (1979), 'A Formula for the Gini Coefficient', Review of Economics and Statistics, LXI (1), February, 14649  Dominique Thon (1982), 'An Axiomatization of the Gini Coefficient', Mathematical Social Sciences, 2 (2), March, 13143 Anthony B. Atkinson (1975), The Economics of Inequality, Clarendon Press.  Robert A. Becker (2010), Lecture Notes on Income Inequality, Indiana University, August, available at: http://php.indiana.edu/~becker/Income%20Inequality%.  Claude Berge (1963), Topological Spaces (including a treatment of MultiValued Functions, Vector Spaces, and Convexity), translated by E.M. Patterson, The Macmillan Company.  Charles Blackorby and David Donaldson (1977), 'Utility vs. Equity: Some Plausible QuasiOrderings', Journal of Public Economics, 7, 36581.  Charles Blackorby and David Donaldson (1978), 'Measures of Relative Equality and Their Meaning in Terms of Social Welfare', Journal of Economic Theory, 18, 980.  David M. Bressoud (1999), Proofs and Confirmations: The Story of the Alternative Sign Matrix Conjecture, Cambridge University Press.  Satya R. Chakravarty (2009), Inequality, Polarization and Poverty: Advances in Distributional Analysis, Springer.  Anthony B. Atkinson (1970), 'On the Measurement of Inequality', Journal of Economic Theory, 2 (3), September, 24463  G.H. Hardy, J.E Littlewood and G. Pólya (1929), 'Some Simple Inequalities Satisfied by Convex Functions', Messenger of Mathematics, LVIII, MayApril, 14552  Miodrag Tomic ́(2010), 'Gauss' Theorem Concerning the Center of Gravity and its Application', Journal of Economic Inequality, 8 (1), March, 12332  A.B. Atkinson (2008), 'More on the Measurement of Inequality', Journal of Economic Inequality, 6 (3), September, 27783  Anthony F. Shorrocks and James E. Foster (1987), 'Transfer Sensitive Inequality Measures', Review of Economic Studies, LIV (3), July, 48597  James Davies and Michael Hoy (1994), 'The Normative Significance of Using ThirdDegree Stochastic Dominance in Comparing Income Distributions', Journal of Economic Theory, 64 (2), December, 52030  D.G. Champernowne and F.A. Cowell (1998), Economic Inequality and Income Distribution, Cambridge University Press.  Frank A. Cowell (2011), Measuring Inequality, Third Edition, Oxford University Press.  Hugh Dalton (1920), 'The Measurement of the Inequality of Incomes', The Economic Journal, 30 (119), (September), 34861.  Partha Dasgupta, Amartya Sen, and David Starrett (1973), 'Notes on the Measurement of Inequality', Journal of Economic Theory, 6 (2), (April), 18087.  Carmen DeNavasWalt, Bernadette D. Proctor, and Jessica C. Smith (2012), Income, Poverty, and Health Insurance Coverage in the United States: 2011, US Commerce Department Survey of Current Population Reports, issued September 2012.  Emanuel Derman (2011), Models Behaving Badly, The Free Press.  Gary S. Fields (2001), Distribution and Development: A New Look at the Developing World, Russell Sage Foundation and The MIT Press Peter J. Lambert (2001), The Distribution and Redistribution of Income, Third Edition, Manchester University Press.  Peter J. Lambert and Ivica Urban (2010), 'Miodrag Tomić's 1949 Article on Inequalities', Journal of Income Inequality, 8, 12122.  Haim Levy (2012), The Capital Asset Pricing Model in the 21st Century, Cambridge University Press.  Albert W. Marshall and Ingram Olkin (1979), Inequalities: Theory of Majorization and Its Applications, Academic Press.  Albert W. Marshall, Ingram Olkin, and Barry C. Arnold (2011), Inequalities: Theory of Majorization and Its Applications, Second Edition, Springer.  Branko Milanovic (2005), Worlds Apart: Measuring International and Global Inequality, Princeton University Press.  Branko Milanovic (2012), 'Global Income Inequality by the Numbers: in History and Now  An Overview', Policy Research Working Paper 6259, The World Bank, November  David Schmeidler (1979), 'A Bibliographic Note on a Theorem of Hardy, Littlewood and Pólya', Journal of Economic Theory, 20, 12528.  Amartya Sen (1973), On Economic Inequality, W.W. Norton & Company.  Amartya Sen (1992), Inequality Reexamined, Russell Sage Foundation and Oxford University Press (reprinted 2002).  Amartya Sen (1997), On Economic Inequality: Expanded edition with a substantial annex by James E. Foster and Amartya Sen, Oxford University Press.  Eytan Sheshinski (1972), 'Relation Between a Social Welfare Function and the Gini Index of Income Inequality', Journal of Economic Theory, 4, 98100.  Anthony E. Shorrocks (1983), 'Ranking Income Distributions', Economica, New Series, 50, (February), 317.  Joseph E. Stiglitz, Amartya Sen, and JeanPaul Fitoussi (2010), MisMeasuring Our Lives: Why GDP Doesn't Add Up, The New Press.  JoanMaría Esteban and Debraj Ray (1994), 'On the Measurement of Polarization', Econometrica, 62 (4), July, 81951  James E. Foster and Michael C. Wolfson (2010), 'Polarization and the Decline of the Middle Class: Canada and the U.S.', Journal of Economic Inequality, 8 (2), June, 24773 Recommended readings (Machine generated): Ronny Aboudi and Dominique Thon (2006), 'Refinements of Muirhead's Lemma and Income Inequality', Mathematical Social Sciences, 51, pp. 21216.  Hayward R. Alker, Jr., and Bruce M. Russett (1966), 'Indices for Comparing Inequality', in Richard L. Merritt and Stein Rokkan (eds), Comparing Nations: The Use of Quantitative Data in CrossNational Research, Chapter 16, Yale University Press.  Y. Amiel and F.A. Cowell (1999), Thinking About Inequality, Cambridge University Press.  Barry C. Arnold (1987), Majorization and the Lorenz Order: A Brief Introduction, Lecture Notes in Statistics, 43, Springer.  Barry C. Arnold (2007), 'Majorization: Here, There, Everywhere', Statistical Science, 22, 40713.  Barry C. Arnold (2008), 'The Lorenz Curve: Evergreen after 100 years', Chapter 2 in Gianni Betti and Achille Lemmi (eds), Advances on Income Inequality and Concentration Measures, Routledge, Taylor and Francis Group.  James E. Foster (1983), 'An Axiomatic Characterization of the Theil Measure of Income Inequality', Journal of Economic Theory, 31 (1), October, 10521  Satya R. Chakravarty (2007), 'A Deprivationbased Axiomatic Characterization of the Absolute Bonferroni Index of Inequality', Journal of Economic Inequality, 5 (3), December, 33951  Francois Bourguignon (1979), 'Decomposable Income Inequality Measures', Econometrica, 47 (4), July, 90120  A.F. Shorrocks (1980), 'The Class of Additively Decomposable Inequality Measures', Econometrica, 48 (3), April, 61325  Anthony F. Shorrocks (1984), 'Inequality Decomposition by Population Subgroups', Econometrica, 52 (6), November, 136985  Esfandiar Maasoumi (1986), 'The Measurement and Decomposition of MultiDimensional Inequality', Econometrica, 54 (4), July, 99197  John A. Weymark (1981), 'Generalized Gini Inequality Indices', Mathematical Social Sciences, 1 (4), August, 40930  'This book contains a highlevel collection of papers by some of today's leading distributional analysts. The chapters are wellchosen and are written by respected authors with international profiles. The book will be highly valued as a reference work, by research economists and practitioners, as well as by postgraduate students and professors at universities where distributional measurement theory and application is dealt with at the PhD level.'Peter Lambert, University of Oregon, US. The very meaning of economic inequality is fundamental for understanding today's policy debates over issues such as interpreting changes in income inequality over time, across countries, or between groups within a society, as well as determining whether or not society is becoming more polarized with a shrinking middle class. Professor Becker has selected seminal papers covering topics including foundations of income inequality measurement, the social welfare view of inequality and directions for future research on economic inequality. Along with a new and original introduction, this essential single volume is an indispensable tool for scholars and practitioners alike Shlomo Yitzhaki (1983), 'On an Extension of the Gini Inequality Index', International Economic Review, 24 (3), October, 61728  Frank A. Cowell and Kiyoshi Kuga (1981), 'Inequality Measurement: An Axiomatic Approach', European Economic Review, 15 (3), March, 287305  Frank A. Cowell and Kiyoshi Kuga (1981), 'Additivity and the Entropy Concept: An Axiomatic Approach to Inequality Measurement', Journal of Economic Theory, 25 (1), August, 13143  A.B. Atkinson and F. Bourguignon (1982), 'The Comparison of MultiDimensioned Distributions of Economic Status', Review of Economic Studies, XLIX (2), April, 183201  KaiYuen Tsui (1995), 'Multidimensional Generalizations of the Relative and Absolute Inequality Indices: The AtkinsonKolmSen Approach', Journal of Economic Theory, 67 (1), October, 25165  Gleb Koshevoy (1998), 'The Lorenz Zonotope and Multivariate Majorizations', Social Choice and Welfare, 15 (1), January, 114  Karl Mosler (2002), Multivariate Dispersion, Central Regions and Depth: The Lift Zonoid Approach, Springer.  R.F. Muirhead (1903), 'Some Methods Applicable to Identities and Inequalities of Symmetric Algebraic Functions of n Letters', Proceedings of the Edinburgh Mathematical Society, 21, 14457.  David Newberry (1970), 'A Theorem on the Measurement of Income Inequality', Journal of Economic Theory, 2, 26466 

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ISBN:  9781784710392 