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Poverty and inequality under income and price dispersions

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  • Christophe Muller

Abstract

We introduce an analytical framework for welfare analysis that accounts for changes in the joint distribution of prices and incomes by using parametric formulae of poverty and inequality measures. We propose statistical indicators for the levels, variabilities and a statistical link of price indices and nominal living standards, which are consistent with a bivariate lognormal model. Our analysis provides intuitive insight about the social welfare impact of economic shocks affecting levels, variabilities, and correlation of prices and incomes. The roles of price and income variabilities for poverty and inequality are exhibited, with the possibility of several variation regimes.

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  • Christophe Muller, 2005. "Poverty and inequality under income and price dispersions," Canadian Journal of Economics, Canadian Economics Association, vol. 38(3), pages 979-998, August.
  • Handle: RePEc:cje:issued:v:38:y:2005:i:3:p:979-998
    DOI: 10.1111/j.0008-4085.2005.00312.x
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    1. Chipman, John S., 1974. "The welfare ranking of Pareto distributions," Journal of Economic Theory, Elsevier, vol. 9(3), pages 275-282, November.
    2. Christophe Muller, 2001. "The Properties of the Watts Poverty Index under Lognormality," Economics Bulletin, AccessEcon, vol. 9(1), pages 1-9.
    3. Rao, Vijayendra, 2000. "Price Heterogeneity and "Real" Inequality: A Case Study of Prices and Poverty in Rural South India," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 46(2), pages 201-211, June.
    4. Mr. Steven T Phillips & Mr. Vincent Koen, 1993. "Price Liberalization in Russia: Behavior of Prices, Household Incomes, and Consumption During the First Year," IMF Occasional Papers 1993/004, International Monetary Fund.
    5. Christophe Muller, 2005. "Poverty and inequality under income and price dispersions," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 38(3), pages 979-998, August.
    6. Bardhan, Pranab, 1996. "Efficiency, Equity and Poverty Alleviation: Policy Issues in Less Developed Countries," Economic Journal, Royal Economic Society, vol. 106(438), pages 1344-1356, September.
    7. Salem, A B Z & Mount, T D, 1974. "A Convenient Descriptive Model of Income Distribution: The Gamma Density," Econometrica, Econometric Society, vol. 42(6), pages 1115-1127, November.
    8. Lipton, Michael & Ravallion, Martin, 1995. "Poverty and policy," Handbook of Development Economics, in: Hollis Chenery & T.N. Srinivasan (ed.), Handbook of Development Economics, edition 1, volume 3, chapter 41, pages 2551-2657, Elsevier.
    9. Muller, Christophe, 2002. "Prices and living standards: evidence for Rwanda," Journal of Development Economics, Elsevier, vol. 68(1), pages 187-203, June.
    10. Kloek, Teun & van Dijk, Herman K., 1978. "Efficient estimation of income distribution parameters," Journal of Econometrics, Elsevier, vol. 8(1), pages 61-74, August.
    11. James E. Foster & Efe A. Ok, 1999. "Lorenz Dominance and the Variance of Logarithms," Econometrica, Econometric Society, vol. 67(4), pages 901-908, July.
    12. Kuan Xu & Lars Osberg, 2002. "The social welfare implications, decomposability, and geometry of the Sen family of poverty indices," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 35(1), pages 138-152, February.
    13. Basu, Kaushik & Bell, Clive, 1991. "Fragmented duopoly : Theory and applications to backward agriculture," Journal of Development Economics, Elsevier, vol. 36(2), pages 145-165, October.
    14. John Muellbauer, 1974. "Inequality Measures, Prices and Household Composition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(4), pages 493-504.
    15. Masters, William A. & Nuppenau, Ernst-August, 1993. "Panterritorial versus regional pricing for maize in Zimbabwe," World Development, Elsevier, vol. 21(10), pages 1647-1658, October.
    16. Hirschberg, Joseph G. & Slottje, D. J., 1989. "Remembrance of things past the distribution of earnings across occupations and the kappa criterion," Journal of Econometrics, Elsevier, vol. 42(1), pages 121-130, September.
    17. Duncan, Alex & Jones, Stephen, 1993. "Agricultural marketing and pricing reform: A review of experience," World Development, Elsevier, vol. 21(9), pages 1495-1514, September.
    18. Alderman, Harold & Shively, Gerald, 1996. "Economic reform and food prices: Evidence from markets in Ghana," World Development, Elsevier, vol. 24(3), pages 521-534, March.
    19. Badiane, Ousmane & Shively, Gerald E., 1998. "Spatial integration, transport costs, and the response of local prices to policy changes in Ghana," Journal of Development Economics, Elsevier, vol. 56(2), pages 411-431, August.
    20. Braithwait, Steven D, 1980. "The Substitution Bias of the Laspeyres Price Index: An Analysis Using Estimated Cost-of-Living Indexes," American Economic Review, American Economic Association, vol. 70(1), pages 64-77, March.
    21. Sahn, David E. & Dorosh, Paul & Younger, Stephen, 1996. "Exchange rate, fiscal and agricultural policies in Africa: Does adjustment hurt the poor?," World Development, Elsevier, vol. 24(4), pages 719-747, April.
    22. Bourguignon, Francois & de Melo, Jaime & Morrisson, Christian, 1991. "Poverty and income distribution during adjustment: Issues and evidence from the OECD project," World Development, Elsevier, vol. 19(11), pages 1485-1508, November.
    23. Besley, Timothy J & Kanbur, S M Ravi, 1988. "Food Subsidies and Poverty Alleviation," Economic Journal, Royal Economic Society, vol. 98(392), pages 701-719, September.
    24. Jonathan Eaton, 1980. "Price Variability, Utility and Savings," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(3), pages 513-520.
    25. Singh, S K & Maddala, G S, 1976. "A Function for Size Distribution of Incomes," Econometrica, Econometric Society, vol. 44(5), pages 963-970, September.
    26. Vijayendra Rao, 2000. "Price Heterogeneity And “Real” Inequality: A Case Study Of Prices And Poverty In Rural South India," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 46(2), pages 201-211, June.
    27. Bruce L. Gardner & Karen M. Brooks, 1994. "Food Prices and Market Integration in Russia: 1992–93," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 76(3), pages 641-646.
    28. Hildenbrand, Werner, 1998. "How relevant are specifications of behavioral relations on the micro-level for modelling the time path of population aggregates?," European Economic Review, Elsevier, vol. 42(3-5), pages 437-458, May.
    29. Creedy, John & Martin, Vance L, 1994. "A Model of the Distribution of Prices," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 56(1), pages 67-76, February.
    30. Sahn, David E & Sarris, Alexander H, 1991. "Structural Adjustment and the Welfare of Rural Smallholders: A Comparative Analysis from Sub-Saharan Africa," The World Bank Economic Review, World Bank, vol. 5(2), pages 259-289, May.
    31. Daphne S. Taylor & Truman P. Phillips, 1991. "Food-Pricing Policy in Developing Countries: Further Evidence on Cereal Producer Prices," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 73(4), pages 1036-1043.
    32. Cramer, J, 1980. "Errors and disturbances and the performance of some common income distribution functions," University of Amsterdam, Actuarial Science and Econometrics Archive 293051, University of Amsterdam, Faculty of Economics and Business.
    33. van Praag, Bernard M S & Hagenaars, Aldi J M & van Eck, Wim, 1983. "The Influence of Classification and Observation Errors on the Measurement of Income Inequality," Econometrica, Econometric Society, vol. 51(4), pages 1093-1108, July.
    34. Shorrocks, Anthony F, 1995. "Revisiting the Sen Poverty Index," Econometrica, Econometric Society, vol. 63(5), pages 1225-1230, September.
    35. Maasoumi, Esfandiar, 1989. "Continuously distributed attributes and measures of multivariate inequality," Journal of Econometrics, Elsevier, vol. 42(1), pages 131-144, September.
    36. Slottje, Daniel J., 1984. "A measure of income inequality in the U.S. for the years 1952-1980 based on the beta distribution of the second kind," Economics Letters, Elsevier, vol. 15(3-4), pages 369-375.
    37. Slesnick, Daniel T, 1993. "Gaining Ground: Poverty in the Postwar United States," Journal of Political Economy, University of Chicago Press, vol. 101(1), pages 1-38, February.
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    Cited by:

    1. Karel Tomšík & Luboš Smutka, 2013. "Selected aspects and specifics of the economic development in sub-Saharan Africa," Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, Mendel University Press, vol. 61(2), pages 517-528.
    2. Christophe Muller, 2005. "Poverty and inequality under income and price dispersions," Canadian Journal of Economics, Canadian Economics Association, vol. 38(3), pages 979-998, August.
    3. Christophe Muller, 2022. "Poverty Measurement under Income and Price Dispersions," AMSE Working Papers 2204, Aix-Marseille School of Economics, France.
    4. Christophe Muller, 2022. "Poverty Measurement under Income and Price Dispersions," Working Papers hal-03612841, HAL.
    5. Mussa, Richard, 2015. "A joint analysis of correlates of poverty intensity, incidence, and gap with application to Malawi," MPRA Paper 65205, University Library of Munich, Germany.

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    More about this item

    JEL classification:

    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty
    • O15 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution

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