Abstract
An ethnic polarization index is a measure of the extent to which individuals in a population are distributed across different ethnic groups. The objective of this article is to develop some characterizations of the Reynal-Querol (RQ) index of ethnic polarization using alternative sets of independent axioms. A generalized form of RQ is also characterized. Some implications of the axioms are investigated as well.
Similar content being viewed by others
References
Aczel J (1966) Lectures on functional equations and their applications. Academic Press, London
Alesina A, La Ferrara E (2005) Ethnic diversity and economic performance. J Econ Lit 43: 762–800
Apostol M (1974) Mathematical analysis. Addison-Wesley, London
Bossert W, D’Ambrosio C, La Ferrara E (2009) A generalized index of fractionalization. Economica (forthcoming)
Chakraborty A, Pattanaik PK, Xu Y (2008) On the mean of squared deprivation gaps. Econ Theory 34: 181–187
Chakravarty SR (1995) Issues in industrial economics. Ashgate Publishing Limited, Brookfield
Chakravarty SR (2009) Inequality, polarization and poverty: advances in distributional analysis. Springer, New York
Chakravarty SR, Dutta B (1987) A note on measures of distance between income distributions. J Econ Theory 41: 185–188
Duclos JY, Esteban JM, Ray D (2004) Polarization: concepts, measurement, estimation. Econometrica 72: 1737–1772
Esteban JM, Ray D (1994) On the measurement of polarization. Econometrica 62: 819–851
Esteban JM, Ray D (1999) Conflict and distribution. J Econ Theory 87: 379–415
Esteban JM, Ray D (2006) Polarization, fractionalization and conflict. Mimeographed CSIC, Barcelona
Foster JE, Wolfson MC (2010) Polarization and the decline of the middle class: Canada and the U.S. J Econ Inequal 8: 247–273
Gehrig W (1988) On the Shannon-Theil concentration measures and its characterizations. In: Eichhorn W. (eds) Measurement in economics. Physica, Heidelberg’, pp 413–427
Montalvo JG, Reynal-Querol M (2005) Ethnic polarization, potential conflict and civil Wars. Am Econ Rev 95: 796–816
Montalvo JG, Reynal-Querol M (2008) Discrete polarization with an application to the determinants of genocides. Econ J 118: 1835–1865
Reynal-Querol M (2002) Ethnicity, political systems and civil wars. J Confl Resolut 46: 29–54
Rudin W (1976) Principles of mathematical analysis. McGraw-Hill, London
Vigdor JL (2002) Interpreting ethnic fragmentation effects. Econ Lett 75: 271–276
Wolfson MC (1994) When inequalities diverge. Am Econ Rev Pap Proc 84: 353–358
Wolfson MC (1997) Divergent inequalities: theory and empirical results. Rev Income Wealth 43: 401–421
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chakravarty, S.R., Maharaj, B. Measuring ethnic polarization. Soc Choice Welf 37, 431–452 (2011). https://doi.org/10.1007/s00355-010-0498-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00355-010-0498-x