Skip to main content

Stochastic Dominance and the Lorenz Curve

  • Chapter
Handbook of Income Inequality Measurement

Part of the book series: Recent Economic Thought Series ((RETH,volume 71))

Abstract

This chapter reviews the different practical methods that have been devised in order to decide when one income distribution can be reasonably considered as more equal than another distribution.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Amiel, Y. and F.A. Cowell. 1992. “Measurement of Income Inequality: Experimental Test by Questionnaire.” Journal of Public Economics 47: 3–26.

    Article  Google Scholar 

  • Atkinson, A.B. 1970. “On the Measurement of Inequality.” Journal of Economic Theory 2: 244–263.

    Article  Google Scholar 

  • Berge, C. 1963. Topological Spaces, Including a Treatment of Multi-Valued Functions, Vector Spaces and Convexity. Edinburgh: Oliver & Boyd.

    Google Scholar 

  • Bossert, W. and A. Pfingsten. 1990. “Intermediate Inequality: Concepts, Indices and Welfare Implications.” Mathematical Social Sciences 19: 117–134.

    Article  Google Scholar 

  • Dalton, H. 1920.: “The Measurement of the Inequality of Incomes.” Economic Journal 30: 348–361.

    Article  Google Scholar 

  • Dasgupta, P., A.K. Sen and D. Starrett. 1973. “Notes on the Measurement of Inequality.” Journal of Economic Theory 6: 180–187.

    Article  Google Scholar 

  • Davies, J. and M. Hoy. 1995. “Making Inequality Comparisons when Lorenz Curves Intersect.” American Economic Review 85: 980–986.

    Google Scholar 

  • Donaldson, D. and J. Weymark. 1980. “A Single-Parameter Generalization of the Gini Indices of Inequality.” Journal of Economic Theory 29: 67–86.

    Article  Google Scholar 

  • Fields, G.S. and J.C.H. Fei. 1978. “On Inequality Comparisons.” Econometrica 46: 305–316.

    Article  Google Scholar 

  • Fishburn, P.C. and R.G. Vickson. 1978. “Theoretical Foundations of Stochastic Dominance.” In G.A. Whitmore and M.C. Findlay, eds., Stochastic Dominance. Lexington Books.

    Google Scholar 

  • Foster, J.E. 1985. “Inequality Measurement.” In H.P. Young, ed., Fair Allocation. American Mathematical Society Proceedings of Applied Mathematics, Volume 33.

    Google Scholar 

  • Foster, J.E. and A.F. Shorrocks. 1988. “Poverty Orderings and Welfare Dominance.” Social Choice and Welfare 5: 179–198. Reprinted in W. Gaertner and P.K. Pattanaik, eds., Distributive Justice and Inequality. Berlin: Springer-Verlag.

    Google Scholar 

  • Gastwirth, J.L. 1971. “A General Definition of the Lorenz Curve.” Econometrica 39: 1037–1039.

    Article  Google Scholar 

  • Hardy, G.H., J.E. Littlewood and G. Polya. 1952. Inequalities. Cambridge: Cambridge University Press (2nd edition).

    Google Scholar 

  • Kolm, S-.Ch. 1976a. “Unequal Inequalities I.” Journal of Economic Theory 12: 416–442.

    Article  Google Scholar 

  • Kolm, S-.Ch. 1976b. “Unequal Inequalities II.” Journal of Economic Theory 13: 82–111.

    Article  Google Scholar 

  • Marshall, A.W. and I. Olkin. 1979. Inequalities: Theory of Majorization and its Applications. New York: Academic Press.

    Google Scholar 

  • Marshall, A.W., I. Olkin and F. Proschan. 1967. “Monotonicity of Ratios of Means and Other Applications of Majorization.” In O. Shisha, ed., Inequalities. New York: Academic Press.

    Google Scholar 

  • Moyes, P. 1987. “A New Concept of Lorenz Domination.” Economics Letters 23: 203–207.

    Article  Google Scholar 

  • Moyes, P. 1992. “Relative or Absolute Dominance in the Sense of Lorenz: An International Comparison.” Revue Economique 43: 895–915.

    Google Scholar 

  • Sen, A.K. 1973. On Economic Inequality. Oxford: Clarendon Press.

    Book  Google Scholar 

  • Shorrocks, A.F. 1983. “Ranking Income Distributions.” Economica 50: 3–17.

    Article  Google Scholar 

  • Shorrocks, A.F. and J.E. Foster. 1987. “Transfer Sensitive Inequality Measures.” Review of Economic Studies 54: 485–497.

    Article  Google Scholar 

  • Gastwirth, J.L. 1971. “A General Definition of the Lorenz Curve.” Econometrica 39: 1037–1039.

    Article  Google Scholar 

  • Mayshar, J. and S. Yitzhaki. 1995. “Dalton-Improving Indirect Tax Reform.” American Economic Review 85: 793–807.

    Google Scholar 

  • Mayshar, J. and S. Yitzhaki. 1996. “Dalton-Improving Indirect Tax Reform II — With Differences in Needs and Ability.” Journal of Public Economics 62(3): 399–412.

    Article  Google Scholar 

  • Shorrocks, A.F. 1983. “Ranking Income Distributions.” Economica 50: 3–17.

    Article  Google Scholar 

  • Yitzhaki, S. and J. Slemrod. 1991. “Welfare Dominance: An Application to Commodity Taxation.” American Economic Review 81: 480–496.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media New York

About this chapter

Cite this chapter

Moyes, P. (1999). Stochastic Dominance and the Lorenz Curve. In: Silber, J. (eds) Handbook of Income Inequality Measurement. Recent Economic Thought Series, vol 71. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4413-1_7

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-4413-1_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5897-1

  • Online ISBN: 978-94-011-4413-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics