Polarization: Concepts, Measurement, Estimation
AbstractWe develop the measurement theory of polarization for the case in which income distributions can be described using density functions. The main theorem uniquely characterizes a class of polarization measures that fits into what we call the "identity-alienation" framework, and simultanously satisfies a set of axioms. Second, we provide sample estimators of population polarization indices that can be used to compare polarization across time or entities. Distribution-free statistical inference results are also used in order to ensure that the orderings of polarization across entities are not simply due to sampling noise. An illustration of the use of these tools using data from 21 countries shows that polarization and inequality orderings can often differ in practice. Copyright The Econometric Society 2004.
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Bibliographic InfoArticle provided by Econometric Society in its journal Econometrica.
Volume (Year): 72 (2004)
Issue (Month): 6 (November)
Other versions of this item:
- Duclos, Jean-Yves & Esteban, Joan & Ray, Debraj, 2003. "Polarization: Concepts, Measurement, Estimation," Cahiers de recherche 0301, CIRPEE.
- Jean-Yves Duclos & Joan Esteban & Debraj Ray, 2003. "Polarization: Concepts, Measurement, Estimation," Working Papers 46, Barcelona Graduate School of Economics.
- D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
- D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances
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- Esteban, J. & Gradin, C. & Ray, D., 1999. "Extension of a Measure of Polarization, with an Application to the Income Distribution of Five OECD Countries," Papers 24, El Instituto de Estudios Economicos de Galicia Pedro Barrie de la Maza.
- Wang, You-Qiang & Tsui, Kai-Yuen, 2000. " Polarization Orderings and New Classes of Polarization Indices," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 2(3), pages 349-63.
- Russell Davidson & Jean-Yves Duclos, 1997.
"Statistical Inference for the Measurement of the Incidence of Taxes and Transfers,"
Econometric Society, vol. 65(6), pages 1453-1466, November.
- DAVIDSON, Russell & DUCLOS, Jean-Yves, 1995. "Statistical Inference for the Measurement of the Incidences of Taxes and Transfers," Cahiers de recherche 9521, Université Laval - Département d'économique.
- Davidson, R. & Duclos, J.Y., 1995. "Statistical Inference for the Measurement of the Incidence of Taxes and Transfers," G.R.E.Q.A.M. 95a30, Universite Aix-Marseille III.
- Davidson, R. & Duclos, J.Y., 1995. "Statistical Inference for the Measurement of the Incidence of Taxes and Transfers," Papers 9521, Laval - Recherche en Politique Economique.
- Wolfson, Michael C, 1997. "Divergent Inequalities: Theory and Empirical Results," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 43(4), pages 401-21, December.
- Esteban, Joan & Ray, Debraj, 1999. "Conflict and Distribution," Journal of Economic Theory, Elsevier, vol. 87(2), pages 379-415, August.
- Davidson, Russell & Duclos, Jean-Yves, 1998.
"Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality,"
Cahiers de recherche
9805, Université Laval - Département d'économique.
- Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
- Davidson, R. & Duclos, J.-Y., 1998. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," G.R.E.Q.A.M. 98a14, Universite Aix-Marseille III.
- Chakravarty, Satya R & Majumder, Amita, 2001. "Inequality, Polarisation and Welfare: Theory and Applications," Australian Economic Papers, Wiley Blackwell, vol. 40(1), pages 1-13, March.
- Chakravarty, Satya R. & Dutta, Bhaskar, 1990. "Migration and welfare," European Journal of Political Economy, Elsevier, vol. 6(1), pages 119-138, August.
- Esteban, J. & Ray, D., 1993.
"On the Measurement of Polarization,"
UFAE and IAE Working Papers
221.93, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Esteban, J.M. & Ray, D., 1992. "On the Measurement of Polarization," UFAE and IAE Working Papers 171.92, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Joan-Maria Esteban & Debraj Ray, 1991. "On the Measurement of Polarization," Boston University - Institute for Economic Development 18, Boston University, Institute for Economic Development.
- Kakwani, Nanak, 1993. "Statistical Inference in the Measurement of Poverty," The Review of Economics and Statistics, MIT Press, vol. 75(4), pages 632-39, November.
- Beach, Charles M & Richmond, James, 1985. "Joint Confidence Intervals for Income Shares and Lorenz Curves," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 439-50, June.
- Gradin, Carlos, 2000. "Polarization by Sub-populations in Spain, 1973-91," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 46(4), pages 457-74, December.
- Conchita D'Ambrosio & Edward N. Wolff, 2001.
"Is Wealth Becoming More Polarized in the United States?,"
- Conchita D'Ambrosio & Edward N. Wolff, . "Is Wealth Becoming More Polarized in the United States?," Economics Working Paper Archive wp_330, Levy Economics Institute, The.
- Zhang, Siao-Bo & Kanbur, Ravi, 1999.
"What Difference Do Polarization Measures Make? An Application To China,"
7224, Cornell University, Department of Applied Economics and Management.
- X. Zhang & R. Kanbur, 2001. "What Difference Do Polarisation Measures Make? An Application to China," The Journal of Development Studies, Taylor and Francis Journals, vol. 37(3), pages 85-98.
- Anderson, Gordon, 1996. "Nonparametric Tests of Stochastic Dominance in Income Distributions," Econometrica, Econometric Society, vol. 64(5), pages 1183-93, September.
- Wolfson, Michael C, 1994. "When Inequalities Diverge," American Economic Review, American Economic Association, vol. 84(2), pages 353-58, May.
- Norman Loayza & Pablo Fajnzylber & Daniel Lederman, 2000. "Crime and Victimization: An Economic Perspective," Journal of LACEA Economia, LACEA - LATIN AMERICAN AND CARIBBEAN ECONOMIC ASSOCIATION.
- Alberto Alesina & Enrico Spolaore, 1995.
"On the Number and Size of Nations,"
NBER Working Papers
5050, National Bureau of Economic Research, Inc.
- Davies, J. B. & Shorrocks, A. F., 1989. "Optimal grouping of income and wealth data," Journal of Econometrics, Elsevier, vol. 42(1), pages 97-108, September.
- Beach, Charles M & Davidson, Russell, 1983. "Distribution-Free Statistical Inference with Lorenz Curves and Income Shares," Review of Economic Studies, Wiley Blackwell, vol. 50(4), pages 723-35, October.
- Juan G. Rodríguez & Rafael Salas, . "Extended Bi-Polarization And Inequality Measures," Working Papers 10-03 Classification-JEL , Instituto de Estudios Fiscales.
- Bishop, John A & Chakraborti, S & Thistle, Paul D, 1989. "Asymptotically Distribution-Free Statistical Inference for Generalized Lorenz Curves," The Review of Economics and Statistics, MIT Press, vol. 71(4), pages 725-27, November.
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