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Shapley-Value Decompositions of Changes in Wage Distributions: A Note

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  • Francesco Devicienti

Abstract

This note shows how the Shapley-value can be applied to the regression-based methods that are often used to decompose changes in wage distributions. The method remedies the path-dependency exhibited by existing approaches that compute the contributions due to (i) changes in sample observable characteristics, (ii) changes in the return of characteristics, (iii) changes in the distribution of unobservable characteristics.

Suggested Citation

  • Francesco Devicienti, 2008. "Shapley-Value Decompositions of Changes in Wage Distributions: A Note," LABORatorio R. Revelli Working Papers Series 80, LABORatorio R. Revelli, Centre for Employment Studies.
  • Handle: RePEc:cca:wplabo:80
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    References listed on IDEAS

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    1. Anthony F. Shorrocks, 1983. "The Impact of Income Components on the Distribution of Family Incomes," The Quarterly Journal of Economics, Oxford University Press, vol. 98(2), pages 311-326.
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    3. Jonathan Morduch & Terry Sicular, 2002. "Rethinking Inequality Decomposition, With Evidence from Rural China," Economic Journal, Royal Economic Society, vol. 112(476), pages 93-106, January.
    4. Andrea Borgarello & Francesco Devicienti, 2006. "The rise of wage inequality in Italy: Increased returns for the «new» skills?," Politica economica, Società editrice il Mulino, issue 2, pages 193-232.
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    6. Oaxaca, Ronald, 1973. "Male-Female Wage Differentials in Urban Labor Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 693-709, October.
    7. Thomas Lemieux, 2002. "Decomposing changes in wage distributions: a unified approach," Canadian Journal of Economics, Canadian Economics Association, vol. 35(4), pages 646-688, November.
    8. Juhn, Chinhui & Murphy, Kevin M & Pierce, Brooks, 1993. "Wage Inequality and the Rise in Returns to Skill," Journal of Political Economy, University of Chicago Press, vol. 101(3), pages 410-442, June.
    9. Mercedes Sastre & Alain Trannoy, 2002. "Shapley inequality decomposition by factor components: Some methodological issues," Journal of Economics, Springer, vol. 9(1), pages 51-89, December.
    10. Bourguignon, Francois & Fournier, M & Gurgand, M, 2001. "Fast Development with a Stable Income Distribution: Taiwan, 1979-94," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 47(2), pages 139-163, June.
    11. José Mata & José A. F. Machado, 2005. "Counterfactual decomposition of changes in wage distributions using quantile regression," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(4), pages 445-465.
    12. Stephane Mussard & Virginie Terraza, 2008. "The Shapley decomposition for portfolio risk," Applied Economics Letters, Taylor & Francis Journals, vol. 15(9), pages 713-715.
    13. Wan, Guanghua, 2004. "Accounting for income inequality in rural China: a regression-based approach," Journal of Comparative Economics, Elsevier, vol. 32(2), pages 348-363, June.
    14. Shorrocks, A F, 1982. "Inequality Decomposition by Factor Components," Econometrica, Econometric Society, vol. 50(1), pages 193-211, January.
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    Cited by:

    1. Deutsch, Joseph & Fusco, Alessio & Silber, Jacques, 2013. "The BIP Trilogy (bipolarization, inequality and polarization): One saga but three different stories," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 7, pages 1-33.
    2. Masato Okamoto, 2011. "Source decomposition of changes in income inequality: the integral-based approach and its approximation by the chained Shapley-value approach," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(2), pages 145-181, June.
    3. Baumgarten, Daniel, 2013. "Exporters and the rise in wage inequality: Evidence from German linked employer–employee data," Journal of International Economics, Elsevier, vol. 90(1), pages 201-217.
    4. Vincent A. Hildebrand & María Noel Pi Alperin & Philippe Van Kerm, 2017. "Measuring and Accounting for the Deprivation Gap of Portuguese Immigrants in Luxembourg," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 63(2), pages 288-309, June.
    5. Arthur Charpentier & Stéphane Mussard, 2011. "Income inequality games," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(4), pages 529-554, December.
    6. Fabián Slonimczyk, 2013. "Earnings inequality and skill mismatch in the U.S.: 1973–2002," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 11(2), pages 163-194, June.
    7. SOLOGON Denisa & VAN KERM Philippe & LI Jinjing & O'DONOGHUE Cathal, 2018. "Accounting for Differences in Income Inequality across Countries: Ireland and the United Kingdom," LISER Working Paper Series 2018-01, LISER.
    8. Rosalba Manna & Andrea Regoli, 2012. "Regression-based approaches for the decomposition of income inequality in Italy, 1998-2008," Rivista di statistica ufficiale, ISTAT - Italian National Institute of Statistics - (Rome, ITALY), vol. 14(1), pages 5-18, October.
    9. Paolo Verme & Branko Milanovic & Sherine Al-Shawarby & Sahar El Tawila & May Gadallah & Enas Ali A. El-Majeed, 2014. "Inside Inequality in the Arab Republic of Egypt : Facts and Perceptions across People, Time, and Space," World Bank Publications, The World Bank, number 17583.
    10. Ramani Gunatilaka & Duangkamon Chotikapanich, 2009. "Accounting For Sri Lanka'S Expenditure Inequality 1980-2002: Regression-Based Decomposition Approaches," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 55(4), pages 882-906, December.
    11. Gunatilaka, Ramani., 2013. "To work or not to work? : Factors holding women back from market work in Sri Lanka," ILO Working Papers 994838403402676, International Labour Organization.
    12. repec:ilo:ilowps:483840 is not listed on IDEAS

    More about this item

    Keywords

    regression-based decomposition methods; wage distribution; Shapley-value.;

    JEL classification:

    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials

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