Edited by Frank A. Cowell, Professor of Economics and Director of the Distributional Analysis Research Programme, London School of Economics and Political Science, UK

'This magnificent collection is a must for every welfare economics and general economics library. . .'

• Contents: Volume I AcknowledgementsIntroduction Frank A. CowellPART IWELFARE BASIS OF DISTRIBUTIONAL ANALYSIS 1. A.C. Pigou (1912), ‘Economic Welfare and the National Dividend’2. Hugh Dalton (1920), ‘The Measurement of the Inequality of Incomes’3. John C. Harsanyi (1955), ‘Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility’4. Harold M. Hochman and James D. Rodgers (1969), ‘Pareto Optimal Redistribution’5. Larry S. Temkin (1986), ‘Inequality’6. Yoram Amiel and Frank A. Cowell (1992), ‘Measurement of Income Inequality: Experimental Test by Questionnaire’7. Peter Vallentyne (2000), ‘Equality, Efficiency, and the Priority of the Worse-off’PART IIWELFARE AND INEQUALITY RANKINGS 8. M.O. Lorenz (1905), ‘Methods of Measuring the Concentration of Wealth’9. Jan Pen (1971), ‘A Parade of Dwarfs (and a Few Giants)’, excerpt from ‘Some Facts to be Explained’10. Rubin Saposnik (1981), ‘Rank-dominance in Income Distributions’11. Anthony F. Shorrocks (1983), ‘Ranking Income Distributions’12. Peter C. Fishburn and Robert D. Willig (1984), ‘Transfer Principles in Income Redistribution’PART IIIINEQUALITY MEASUREMENT 13. Corrado Gini (1921), ‘Measurement of Inequality of Incomes’14. Henri Theil (1967), ‘The Measurement of Income Inequality’15. Menahem E. Yaari (1988), ‘A Controversial Proposal Concerning Inequality Measurement’PART IVINEQUALITY: WELFARE APPROACH 16. S.-Ch. Kolm ([1969] 2001), ‘The Optimal Production of Social Justice’17. Anthony B. Atkinson (1970), ‘On the Measurement of Inequality’18. Partha Dasgupta, Amartya Sen and David Starrett (1973), ‘Notes on the Measurement of Inequality’19. Michael Rothschild and Joseph E. Stiglitz (1973), ‘Some Further Results on the Measurement of Inequality’20. J.E. Meade (1976), ‘The Objectives of Distributional Policies’21. Serge-Christophe Kolm (1976), ‘Unequal Inequalities. I’22. Serge-Christophe Kolm (1976), ‘Unequal Inequalities. II’23. Charles Blackorby and David Donaldson (1978), ‘Measures of Relative Equality and Their Meaning in Terms of Social Welfare’PART VINEQUALITY: STRUCTURE 24. Francois Bourguignon (1979), ‘Decomposable Income Inequality Measures’25. Frank A. Cowell (1980), ‘On the Structure of Additive Inequality Measures’26. Anthony F. Shorrocks (1984), ‘Inequality Decomposition by Population Subgroups’27. Udo Ebert (1988), ‘A Family of Aggregative Compromise Inequality Measures’PART VIMULTIDIMENSIONAL APPROACHES 28. Frank A. Cowell (1985), ‘Measures of Distributional Change: An Axiomatic Approach’29. Serge-Christophe Kolm (1977), ‘Multidimensional Egalitarianisms’30. A.F. Shorrocks (1982), ‘Inequality Decomposition by Factor Components’PART VIIPOLARIZATION 31. Joan-María Esteban and Debraj Ray (1994), ‘On the Measurement of Polarization’32. Michael C. Wolfson (1994), ‘Conceptual Issues in Normative Measurement: When Inequalities Diverge’PART VIIIHORIZONTAL EQUITY 33. A.B. Atkinson (1980), ‘Horizontal Equity and the Distribution of the Tax Burden’34. Robert Plotnick (1981), ‘A Measure of Horizontal Inequity’Name Index Volume II AcknowledgementsAn Introduction by the editor to both volumes appears in Volume IPART IPOVERTY CONCEPT AND POVERTY LINE 1. Mollie Orshansky (1965), ‘Counting the Poor: Another Look at the Poverty Profile’2. Peter Townsend (1979), ‘Introduction: Concepts of Poverty and Deprivation’3. Amartya Sen (1979), ‘Issues in the Measurement of Poverty’4. Amartya Sen (1983), ‘Poor, Relatively Speaking’5. Andrea Cerioli and Sergio Zani (1990), ‘A Fuzzy Approach to the Measurement of Poverty’6. Martin Ravallion (1996), ‘Issues in Measuring and Modelling Poverty’PART IIPOVERTY MEASURES 7. Harold Watts (1968), ‘An Economic Definition of Poverty’8. Charles Blackorby and David Donaldson (1980), ‘Ethical Indices for the Measurement of Poverty’9. Stephen Clark, Richard Hemming and David Ulph (1981), ‘On Indices for the Measurement of Poverty’10. James Foster, Joel Greer and Erik Thorbecke (1984), ‘A Class of Decomposable Poverty Measures’11. Aldi Hagenaars (1987), ‘A Class of Poverty Indices’PART III POVERTY AXIOMS AND RANKINGS 12. Amartya Sen (1976), ‘Poverty: An Ordinal Approach to Measurement’13. A. Kundu and T.E. Smith (1983), ‘An Impossibility Theorem on Poverty Indices’14. A.B. Atkinson (1987), ‘On the Measurement of Poverty’15. J.E. Foster and A.F. Shorrocks (1988), ‘Poverty Orderings and Welfare Dominance’PART IVWELFARE, INEQUALITY AND NEEDS 16. Anthony B. Atkinson and François Bourguignon (1987), ‘Income Distribution and Differences in Needs’17. Fiona A.E. Coulter, Frank A. Cowell and Stephen P. Jenkins (1992), ‘Equivalence Scale Relativities and the Extent of Inequality and Poverty’18. Edward P. Lazear and Robert T. Michael (1980), ‘Family Size and the Distribution of Real Per Capita Income’19. Angus S. Deaton and John Muellbauer (1986), ‘On Measuring Child Costs: With Applications to Poor Countries’PART VRELATIVE DEPRIVATION 20. S.R. Chakravarty and A.B. Chakraborty (1984), ‘On Indices of Relative Deprivation’21. Shlomo Yitzhaki (1982), ‘Relative Deprivation and Economic Welfare’PART VIPROGRESSIVITY 22. R.A. Musgrave and Tun Thin (1948), ‘Income Tax Progression, 1929–48’23. J. Fellman (1976), ‘The Effect of Transformations on Lorenz Curves’24. Ulf Jakobsson (1976), ‘On the Measurement of the Degree of Progression’PART VII DYNAMICS 25. Mary Jo Bane and David T. Ellwood (1986), ‘Slipping Into and Out of Poverty: The Dynamics of Spells’26. Lee A. Lillard and Robert J. Willis (1978), ‘Dynamic Aspects of Earning Mobility’PART VIIIFUNCTIONAL FORMS OF INCOME AND WEALTH DISTRIBUTION 27. Vilfredo Pareto ([1896] 2001), ‘On the Distribution of Wealth and Income’28. Robert Gibrat ([1931] 1957), ‘On Economic Inequalities’29. John S. Chipman (1974), ‘The Welfare Ranking of Pareto Distributions’30. J. Aitchison and J.A.C. Brown (1954), ‘On Criteria for Descriptions of Income Distribution’31. D.G. Champernowne (1952), ‘The Graduation of Income Distributions’32. S.K. Singh and G.S. Maddala (1976), ‘A Function for Size Distribution of Incomes’33. James B. McDonald and Michael R. Ransom (1979), ‘Functional Forms, Estimation Techniques and the Distribution of Income’PART IXSTATISTICAL ISSUES 34. Frank A. Cowell and Fatemeh Mehta (1982), ‘The Estimation and Interpolation of Inequality Measures’35. Jeffrey A. Mills and Sourushe Zandvakili (1997), ‘Statistical Inference via Bootstrapping for Measures of Inequality’36. Charles M. Beach and Russell Davidson (1983), ‘Distribution-Free Statistical Inference with Lorenz Curves and Income Shares’37. Frank A. Cowell and Maria-Pia Victoria-Feser (1996), ‘Robustness Properties of Inequality Measures’Name Index

Edited by Frank A. Cowell, Professor of Economics and Director of the Distributional Analysis Research Programme, London School of Economics and Political Science, UK

'This magnificent collection is a must for every welfare economics and general economics library. . .'

• Contents: Volume I AcknowledgementsIntroduction Frank A. CowellPART IWELFARE BASIS OF DISTRIBUTIONAL ANALYSIS 1. A.C. Pigou (1912), ‘Economic Welfare and the National Dividend’2. Hugh Dalton (1920), ‘The Measurement of the Inequality of Incomes’3. John C. Harsanyi (1955), ‘Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility’4. Harold M. Hochman and James D. Rodgers (1969), ‘Pareto Optimal Redistribution’5. Larry S. Temkin (1986), ‘Inequality’6. Yoram Amiel and Frank A. Cowell (1992), ‘Measurement of Income Inequality: Experimental Test by Questionnaire’7. Peter Vallentyne (2000), ‘Equality, Efficiency, and the Priority of the Worse-off’PART IIWELFARE AND INEQUALITY RANKINGS 8. M.O. Lorenz (1905), ‘Methods of Measuring the Concentration of Wealth’9. Jan Pen (1971), ‘A Parade of Dwarfs (and a Few Giants)’, excerpt from ‘Some Facts to be Explained’10. Rubin Saposnik (1981), ‘Rank-dominance in Income Distributions’11. Anthony F. Shorrocks (1983), ‘Ranking Income Distributions’12. Peter C. Fishburn and Robert D. Willig (1984), ‘Transfer Principles in Income Redistribution’PART IIIINEQUALITY MEASUREMENT 13. Corrado Gini (1921), ‘Measurement of Inequality of Incomes’14. Henri Theil (1967), ‘The Measurement of Income Inequality’15. Menahem E. Yaari (1988), ‘A Controversial Proposal Concerning Inequality Measurement’PART IVINEQUALITY: WELFARE APPROACH 16. S.-Ch. Kolm ([1969] 2001), ‘The Optimal Production of Social Justice’17. Anthony B. Atkinson (1970), ‘On the Measurement of Inequality’18. Partha Dasgupta, Amartya Sen and David Starrett (1973), ‘Notes on the Measurement of Inequality’19. Michael Rothschild and Joseph E. Stiglitz (1973), ‘Some Further Results on the Measurement of Inequality’20. J.E. Meade (1976), ‘The Objectives of Distributional Policies’21. Serge-Christophe Kolm (1976), ‘Unequal Inequalities. I’22. Serge-Christophe Kolm (1976), ‘Unequal Inequalities. II’23. Charles Blackorby and David Donaldson (1978), ‘Measures of Relative Equality and Their Meaning in Terms of Social Welfare’PART VINEQUALITY: STRUCTURE 24. Francois Bourguignon (1979), ‘Decomposable Income Inequality Measures’25. Frank A. Cowell (1980), ‘On the Structure of Additive Inequality Measures’26. Anthony F. Shorrocks (1984), ‘Inequality Decomposition by Population Subgroups’27. Udo Ebert (1988), ‘A Family of Aggregative Compromise Inequality Measures’PART VIMULTIDIMENSIONAL APPROACHES 28. Frank A. Cowell (1985), ‘Measures of Distributional Change: An Axiomatic Approach’29. Serge-Christophe Kolm (1977), ‘Multidimensional Egalitarianisms’30. A.F. Shorrocks (1982), ‘Inequality Decomposition by Factor Components’PART VIIPOLARIZATION 31. Joan-María Esteban and Debraj Ray (1994), ‘On the Measurement of Polarization’32. Michael C. Wolfson (1994), ‘Conceptual Issues in Normative Measurement: When Inequalities Diverge’PART VIIIHORIZONTAL EQUITY 33. A.B. Atkinson (1980), ‘Horizontal Equity and the Distribution of the Tax Burden’34. Robert Plotnick (1981), ‘A Measure of Horizontal Inequity’Name Index Volume II AcknowledgementsAn Introduction by the editor to both volumes appears in Volume IPART IPOVERTY CONCEPT AND POVERTY LINE 1. Mollie Orshansky (1965), ‘Counting the Poor: Another Look at the Poverty Profile’2. Peter Townsend (1979), ‘Introduction: Concepts of Poverty and Deprivation’3. Amartya Sen (1979), ‘Issues in the Measurement of Poverty’4. Amartya Sen (1983), ‘Poor, Relatively Speaking’5. Andrea Cerioli and Sergio Zani (1990), ‘A Fuzzy Approach to the Measurement of Poverty’6. Martin Ravallion (1996), ‘Issues in Measuring and Modelling Poverty’PART IIPOVERTY MEASURES 7. Harold Watts (1968), ‘An Economic Definition of Poverty’8. Charles Blackorby and David Donaldson (1980), ‘Ethical Indices for the Measurement of Poverty’9. Stephen Clark, Richard Hemming and David Ulph (1981), ‘On Indices for the Measurement of Poverty’10. James Foster, Joel Greer and Erik Thorbecke (1984), ‘A Class of Decomposable Poverty Measures’11. Aldi Hagenaars (1987), ‘A Class of Poverty Indices’PART III POVERTY AXIOMS AND RANKINGS 12. Amartya Sen (1976), ‘Poverty: An Ordinal Approach to Measurement’13. A. Kundu and T.E. Smith (1983), ‘An Impossibility Theorem on Poverty Indices’14. A.B. Atkinson (1987), ‘On the Measurement of Poverty’15. J.E. Foster and A.F. Shorrocks (1988), ‘Poverty Orderings and Welfare Dominance’PART IVWELFARE, INEQUALITY AND NEEDS 16. Anthony B. Atkinson and François Bourguignon (1987), ‘Income Distribution and Differences in Needs’17. Fiona A.E. Coulter, Frank A. Cowell and Stephen P. Jenkins (1992), ‘Equivalence Scale Relativities and the Extent of Inequality and Poverty’18. Edward P. Lazear and Robert T. Michael (1980), ‘Family Size and the Distribution of Real Per Capita Income’19. Angus S. Deaton and John Muellbauer (1986), ‘On Measuring Child Costs: With Applications to Poor Countries’PART VRELATIVE DEPRIVATION 20. S.R. Chakravarty and A.B. Chakraborty (1984), ‘On Indices of Relative Deprivation’21. Shlomo Yitzhaki (1982), ‘Relative Deprivation and Economic Welfare’PART VIPROGRESSIVITY 22. R.A. Musgrave and Tun Thin (1948), ‘Income Tax Progression, 1929–48’23. J. Fellman (1976), ‘The Effect of Transformations on Lorenz Curves’24. Ulf Jakobsson (1976), ‘On the Measurement of the Degree of Progression’PART VII DYNAMICS 25. Mary Jo Bane and David T. Ellwood (1986), ‘Slipping Into and Out of Poverty: The Dynamics of Spells’26. Lee A. Lillard and Robert J. Willis (1978), ‘Dynamic Aspects of Earning Mobility’PART VIIIFUNCTIONAL FORMS OF INCOME AND WEALTH DISTRIBUTION 27. Vilfredo Pareto ([1896] 2001), ‘On the Distribution of Wealth and Income’28. Robert Gibrat ([1931] 1957), ‘On Economic Inequalities’29. John S. Chipman (1974), ‘The Welfare Ranking of Pareto Distributions’30. J. Aitchison and J.A.C. Brown (1954), ‘On Criteria for Descriptions of Income Distribution’31. D.G. Champernowne (1952), ‘The Graduation of Income Distributions’32. S.K. Singh and G.S. Maddala (1976), ‘A Function for Size Distribution of Incomes’33. James B. McDonald and Michael R. Ransom (1979), ‘Functional Forms, Estimation Techniques and the Distribution of Income’PART IXSTATISTICAL ISSUES 34. Frank A. Cowell and Fatemeh Mehta (1982), ‘The Estimation and Interpolation of Inequality Measures’35. Jeffrey A. Mills and Sourushe Zandvakili (1997), ‘Statistical Inference via Bootstrapping for Measures of Inequality’36. Charles M. Beach and Russell Davidson (1983), ‘Distribution-Free Statistical Inference with Lorenz Curves and Income Shares’37. Frank A. Cowell and Maria-Pia Victoria-Feser (1996), ‘Robustness Properties of Inequality Measures’Name Index

Edited by Frank A. Cowell, Professor of Economics and Director of the Distributional Analysis Research Programme, London School of Economics and Political Science, UK

'This magnificent collection is a must for every welfare economics and general economics library. . .'

• Contents: Volume I AcknowledgementsIntroduction Frank A. CowellPART IWELFARE BASIS OF DISTRIBUTIONAL ANALYSIS 1. A.C. Pigou (1912), ‘Economic Welfare and the National Dividend’2. Hugh Dalton (1920), ‘The Measurement of the Inequality of Incomes’3. John C. Harsanyi (1955), ‘Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility’4. Harold M. Hochman and James D. Rodgers (1969), ‘Pareto Optimal Redistribution’5. Larry S. Temkin (1986), ‘Inequality’6. Yoram Amiel and Frank A. Cowell (1992), ‘Measurement of Income Inequality: Experimental Test by Questionnaire’7. Peter Vallentyne (2000), ‘Equality, Efficiency, and the Priority of the Worse-off’PART IIWELFARE AND INEQUALITY RANKINGS 8. M.O. Lorenz (1905), ‘Methods of Measuring the Concentration of Wealth’9. Jan Pen (1971), ‘A Parade of Dwarfs (and a Few Giants)’, excerpt from ‘Some Facts to be Explained’10. Rubin Saposnik (1981), ‘Rank-dominance in Income Distributions’11. Anthony F. Shorrocks (1983), ‘Ranking Income Distributions’12. Peter C. Fishburn and Robert D. Willig (1984), ‘Transfer Principles in Income Redistribution’PART IIIINEQUALITY MEASUREMENT 13. Corrado Gini (1921), ‘Measurement of Inequality of Incomes’14. Henri Theil (1967), ‘The Measurement of Income Inequality’15. Menahem E. Yaari (1988), ‘A Controversial Proposal Concerning Inequality Measurement’PART IVINEQUALITY: WELFARE APPROACH 16. S.-Ch. Kolm ([1969] 2001), ‘The Optimal Production of Social Justice’17. Anthony B. Atkinson (1970), ‘On the Measurement of Inequality’18. Partha Dasgupta, Amartya Sen and David Starrett (1973), ‘Notes on the Measurement of Inequality’19. Michael Rothschild and Joseph E. Stiglitz (1973), ‘Some Further Results on the Measurement of Inequality’20. J.E. Meade (1976), ‘The Objectives of Distributional Policies’21. Serge-Christophe Kolm (1976), ‘Unequal Inequalities. I’22. Serge-Christophe Kolm (1976), ‘Unequal Inequalities. II’23. Charles Blackorby and David Donaldson (1978), ‘Measures of Relative Equality and Their Meaning in Terms of Social Welfare’PART VINEQUALITY: STRUCTURE 24. Francois Bourguignon (1979), ‘Decomposable Income Inequality Measures’25. Frank A. Cowell (1980), ‘On the Structure of Additive Inequality Measures’26. Anthony F. Shorrocks (1984), ‘Inequality Decomposition by Population Subgroups’27. Udo Ebert (1988), ‘A Family of Aggregative Compromise Inequality Measures’PART VIMULTIDIMENSIONAL APPROACHES 28. Frank A. Cowell (1985), ‘Measures of Distributional Change: An Axiomatic Approach’29. Serge-Christophe Kolm (1977), ‘Multidimensional Egalitarianisms’30. A.F. Shorrocks (1982), ‘Inequality Decomposition by Factor Components’PART VIIPOLARIZATION 31. Joan-María Esteban and Debraj Ray (1994), ‘On the Measurement of Polarization’32. Michael C. Wolfson (1994), ‘Conceptual Issues in Normative Measurement: When Inequalities Diverge’PART VIIIHORIZONTAL EQUITY 33. A.B. Atkinson (1980), ‘Horizontal Equity and the Distribution of the Tax Burden’34. Robert Plotnick (1981), ‘A Measure of Horizontal Inequity’Name Index Volume II AcknowledgementsAn Introduction by the editor to both volumes appears in Volume IPART IPOVERTY CONCEPT AND POVERTY LINE 1. Mollie Orshansky (1965), ‘Counting the Poor: Another Look at the Poverty Profile’2. Peter Townsend (1979), ‘Introduction: Concepts of Poverty and Deprivation’3. Amartya Sen (1979), ‘Issues in the Measurement of Poverty’4. Amartya Sen (1983), ‘Poor, Relatively Speaking’5. Andrea Cerioli and Sergio Zani (1990), ‘A Fuzzy Approach to the Measurement of Poverty’6. Martin Ravallion (1996), ‘Issues in Measuring and Modelling Poverty’PART IIPOVERTY MEASURES 7. Harold Watts (1968), ‘An Economic Definition of Poverty’8. Charles Blackorby and David Donaldson (1980), ‘Ethical Indices for the Measurement of Poverty’9. Stephen Clark, Richard Hemming and David Ulph (1981), ‘On Indices for the Measurement of Poverty’10. James Foster, Joel Greer and Erik Thorbecke (1984), ‘A Class of Decomposable Poverty Measures’11. Aldi Hagenaars (1987), ‘A Class of Poverty Indices’PART III POVERTY AXIOMS AND RANKINGS 12. Amartya Sen (1976), ‘Poverty: An Ordinal Approach to Measurement’13. A. Kundu and T.E. Smith (1983), ‘An Impossibility Theorem on Poverty Indices’14. A.B. Atkinson (1987), ‘On the Measurement of Poverty’15. J.E. Foster and A.F. Shorrocks (1988), ‘Poverty Orderings and Welfare Dominance’PART IVWELFARE, INEQUALITY AND NEEDS 16. Anthony B. Atkinson and François Bourguignon (1987), ‘Income Distribution and Differences in Needs’17. Fiona A.E. Coulter, Frank A. Cowell and Stephen P. Jenkins (1992), ‘Equivalence Scale Relativities and the Extent of Inequality and Poverty’18. Edward P. Lazear and Robert T. Michael (1980), ‘Family Size and the Distribution of Real Per Capita Income’19. Angus S. Deaton and John Muellbauer (1986), ‘On Measuring Child Costs: With Applications to Poor Countries’PART VRELATIVE DEPRIVATION 20. S.R. Chakravarty and A.B. Chakraborty (1984), ‘On Indices of Relative Deprivation’21. Shlomo Yitzhaki (1982), ‘Relative Deprivation and Economic Welfare’PART VIPROGRESSIVITY 22. R.A. Musgrave and Tun Thin (1948), ‘Income Tax Progression, 1929–48’23. J. Fellman (1976), ‘The Effect of Transformations on Lorenz Curves’24. Ulf Jakobsson (1976), ‘On the Measurement of the Degree of Progression’PART VII DYNAMICS 25. Mary Jo Bane and David T. Ellwood (1986), ‘Slipping Into and Out of Poverty: The Dynamics of Spells’26. Lee A. Lillard and Robert J. Willis (1978), ‘Dynamic Aspects of Earning Mobility’PART VIIIFUNCTIONAL FORMS OF INCOME AND WEALTH DISTRIBUTION 27. Vilfredo Pareto ([1896] 2001), ‘On the Distribution of Wealth and Income’28. Robert Gibrat ([1931] 1957), ‘On Economic Inequalities’29. John S. Chipman (1974), ‘The Welfare Ranking of Pareto Distributions’30. J. Aitchison and J.A.C. Brown (1954), ‘On Criteria for Descriptions of Income Distribution’31. D.G. Champernowne (1952), ‘The Graduation of Income Distributions’32. S.K. Singh and G.S. Maddala (1976), ‘A Function for Size Distribution of Incomes’33. James B. McDonald and Michael R. Ransom (1979), ‘Functional Forms, Estimation Techniques and the Distribution of Income’PART IXSTATISTICAL ISSUES 34. Frank A. Cowell and Fatemeh Mehta (1982), ‘The Estimation and Interpolation of Inequality Measures’35. Jeffrey A. Mills and Sourushe Zandvakili (1997), ‘Statistical Inference via Bootstrapping for Measures of Inequality’36. Charles M. Beach and Russell Davidson (1983), ‘Distribution-Free Statistical Inference with Lorenz Curves and Income Shares’37. Frank A. Cowell and Maria-Pia Victoria-Feser (1996), ‘Robustness Properties of Inequality Measures’Name Index