Abstract
Decomposition analysis provides help in the difficult task of explaining how economies trends and government policies affect the distribution of income. In this context, recent studies have proposed the application of the “Shapley Value” allocation method, a concept from cooperative game theory, to the decomposition of inequality. This paper examines the “Shapley inequality decomposition” by factor components focussing in particular on some methodological issues that cannot be solved from a theoretical point of view. Following an inductive approach, the empirical evidence obtained by applying several variants of the Shapley decomposition to the UK and US income distributions suggests an answer to some of the dilemmas faced by applied economists when implementing the Shapley decomposition technique.
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References
Auvray, C., and Trannoy, A. (1992): “Décomposition par source de l'inégalité des revenus à l'aide de la valeur de Shapley”. Journées de Microéconomies Appliquées. Sfax.
Bourguignon, F. (1999): “Fiscalité et Redistribution”,Rapport au Conseil d'Analyse Economique 11: 11–50.
Cancian, M., and Reed, D. (1998): “Assessing the Effects of Wives Earnings on Family Income Inequality.”Review of Economics and Statistics pages 73–79.
Chantreuil, F. (1998): “Axiomatics of Level Structure Values.” InPower Indices and Coalition Formation, edited by M. J. J. Holler, and G. Owen.:.
Chantreuil, F., and Trannoy, A. (1997): “Inequality Decomposition Values.” Université de Cergy-Pontoise. presented in Bordeaux TMR NetworkDistribution and Redistribution of Income. Conference.
Chantreuil, F., and Trannoy, A. (1999): “Inequality Decomposition Values: The Trade-off Between Marginality and Consistency.” — THEMA. DP 99–24.
Gottsshalk, P., and Smeeding, T. (1997): “Cross-National Comparisons of Earnings and Income Inequality.”Journal of Economic Literature 35: 633–687.
Jenkins, S. P. (1995): “Accounting for Inequality Trends: Decomposition Analyzes for the UK 1971-86.”Economica 62: 29–64.
Lerman, R. (1999): “How Income Sources Affect Income Inequality?” InHandbook on Income Inequality Measurement., edited by J. Silber. Boston, Dordrecht, London: Kluwer Academic Publishers.
Lerman, R., and Yitzhaki, S. (1985): “Income Inequality by Income Source: a New Approach and Applications to the United States.”Review of Economics and Statistics 57, 1.
Mirman, L., Taubman, Y., and Zang, I. (1985): “On the Use of Gametheoretic Concepts in Cost Accounting.” InCost Allocation: Methods, Principles, Applications, edited by H. P. Young. North Holland: Elsevier Science.
Owen, G. (1977): “Values of Games With Priori Unions.” InEssays in Mathematical Economics and Game Theory, edited by R. Heim, and O. Moeschlin. New York: Springer Verlag.
Sastre, M., and Trannoy, A. (2000): “A Marginalist Approach to Inequality Decomposition By Factor Components: An Application to OECD Countries using the LIS database.” THEMA.
Shapley, L. S. (1953):A Value for N-person Games. In Kuhn, H. W., and Tucker, A. W. (eds.),Annals of Mathematics Studies. volume 28. pages 307–317. Princeton University Press. Contributions to the Theory of Games, Vol. 2.
Shorrocks, A. F. (1982): “Inequality Decomposition by Factor Components.”Econometrica 50: 193–211.
Shorrocks, A. F. (1999):Decomposition Procedures for Distributional Analysis: A Unified Framework Based on the Shapley Value. University of Essex: mimeo.
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Sastre, M., Trannoy, A. Shapley inequality decomposition by factor components: Some methodological issues. J. Econ. 77 (Suppl 1), 51–89 (2002). https://doi.org/10.1007/BF03052500
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DOI: https://doi.org/10.1007/BF03052500