Skip to main content
Log in

Decomposition procedures for distributional analysis: a unified framework based on the Shapley value

  • Published:
The Journal of Economic Inequality Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Bouillon, C., Legovini, A., Lustig, N.: Rising inequality in Mexico: returns to household characteristics and the ‘Chiappas effect’. Paper presented at the LACEA Conference, Buenos Aires (1998)

  2. Bourguignon, F.: Decomposable income inequality measures. Econometrica 47, 901–920 (1979)

    Article  Google Scholar 

  3. Bourguignon, F., Fournier, M., Gurgand, M.: Distribution, development and education: Taiwan, 1979–1994. Paper presented at the LACEA Conference, Buenos Aires (1998)

  4. Chantreuil, F., Trannoy, A.: Inequality decomposition values. Mimeo, Université de Cergy-Pointoise (1997)

  5. Cowell, F.A., Jenkins, S.P.: How much inequality can we explain—a methodology and an application to the United-States. Econ. J. 105, 421–430 (1995)

    Article  Google Scholar 

  6. Datt, G., Ravallion, M.: Growth and redistribution components of changes in poverty measures—a decomposition with applications to Brazil and India in the 1980s. J. Dev. Econ. 38, 275–296 (1992)

    Article  Google Scholar 

  7. Fields, G.S.: Accounting for differences in income inequality. Mimeo, Cornell University (1995)

  8. Foster, J.E., Shneyerov, A.A.: Path independent inequality measures. Discussion Paper No. 97-W04, Department of Economics, Vanderbilt University (1996)

  9. Foster, J.E., Shneyerov, A.A.: A general class of additively decomposable inequality indices. Discussion Paper No. 97-W10, Department of Economics, Vanderbilt University (1997)

  10. Foster, J.E., Greer, J., Thorbecke, E.: A class of decomposable poverty indices. Econometrica 52, 761–765 (1984)

    Article  Google Scholar 

  11. Grootaert, C.: Structural change and poverty in Africa: a decomposition analysis for Cote d’Ivoire. J. Dev. Econ. 47, 375–402 (1995)

    Article  Google Scholar 

  12. Jenkins, S.P.: Accounting for inequality trends: decomposition analyses for the UK, 1971–86. Economica 62, 29–64 (1995)

    Article  Google Scholar 

  13. Juhn, C., Murphy, K.M., Pierce, B.: Wage inequality and the rise in returns to skill. J. Polit. Econ. 101, 410–442 (1993)

    Article  Google Scholar 

  14. Lambert, P.J., Aronson, J.R.: Inequality decomposition analysis and the Gini coefficient revisited. Econ. J. 103, 1221–1227 (1993)

    Article  Google Scholar 

  15. Morduch, J., Sinclair, T.: Rethinking inequality decomposition, with evidence from rural China. Mimeo, Stanford University (1998)

  16. Moulin, H.: Axioms of Cooperative Decision Making. Cambridge University Press (1988)

  17. Oaxaca, R.: Male-female wage differentials in urban labour markets. Int. Econ. Rev. 14, 693–709 (1973)

    Article  Google Scholar 

  18. Owen, G.: Values of games with priori unions. In: Heim, R., Moeschlin, O. (eds.) Essays in Mathematical Economics and Game Theory. Springer, New York (1977)

    Google Scholar 

  19. Pyatt, G.: On the interpretation and disaggregation of Gini coefficients. Econ. J. 86, 243–255 (1976)

    Article  Google Scholar 

  20. Ravallion, M., Huppi, M.: Measuring changes in poverty: a methodological case study of Indonesia during an adjustment period. World Bank Econ. Rev. 5, 57–84 (1991)

    Article  Google Scholar 

  21. Rongve, I.: A Shapley decomposition of inequality indices by income source. Discussion Paper #59, Department of Economics, University of Regina (1995)

  22. Shapley, L.: A value for n-person games. In: Kuhn, H.W., Tucker, A.W. (eds.) Contributions to the Theory of Games, vol. 2. Princeton University Press (1953)

  23. Shorrocks, A.F.: The class of additively decomposable inequality measures. Econometrica 48, 613–625 (1980)

    Article  Google Scholar 

  24. Shorrocks, A.F.: Inequality decomposition by factor components. Econometrica 50, 193–211 (1982)

    Article  Google Scholar 

  25. Shorrocks, A.F.: Inequality decomposition by population subgroups. Econometrica 52, 1369–1385 (1984)

    Article  Google Scholar 

  26. Szekely, M.: Poverty in Mexico during adjustment. Rev. Income Wealth 1995(3), 331–348 (1995)

    Article  Google Scholar 

  27. Theil, H.: Statistical Decomposition Analysis. North Holland, Amsterdam (1972)

  28. Thorbecke, E., Jung, H.S.: A multiplier decomposition method to analyze poverty alleviation. J. Dev. Econ. 48, 279–300 (1996)

    Article  Google Scholar 

  29. Tsui, K.-Y.: Growth-equity decomposition of a change in poverty: an axiomatic approach. Econ. Lett. 50, 417–424 (1996)

    Article  Google Scholar 

  30. Young, H.P.: Monotonic solutions of cooperative games. Int. J. Game Theory 14, 65–72 (1985)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Anthony F. Shorrocks.

Additional information

I dedicate this paper to the memory of my mother, Vera Florence Shorrocks.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shorrocks, A.F. Decomposition procedures for distributional analysis: a unified framework based on the Shapley value. J Econ Inequal 11, 99–126 (2013). https://doi.org/10.1007/s10888-011-9214-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10888-011-9214-z

Keywords

Navigation