This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

An Axiomatization of the Multigroup Atkinson Segregation Indices

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Frankel, David M.
Volij, Oscar

Additional information is available for the following registered author(s):

Abstract

This paper gives an axiomatic characterization of the multigroup Atkinson indices of segregation relying entirely on ordinal axioms. We show that the Symmetric Atkinson index represents the unique ordering that treats ethnic groups symmetrically, that is invariant to population growth rates that differ among ethnic groups, that regards school districts as more segregated when schools in them are subdivided (unless the new schools have the exact same ethnic distribution), and that satisfy an independence property. If symmetry among ethnic groups is dropped, one obtains the family of orderings that are represented by the Asymmetric Atkinson indices. The latter result requires the addition of a continuity axiom.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.econ.iastate.edu/research/webpapers/paper_12902_08010.pdf
File Format: application/pdf
File Function:
Download Restriction: no

Publisher Info
Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 12902.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 35 pages
Date of creation: 14 Apr 2008
Date of revision:
Handle: RePEc:isu:genres:12902

Contact details of provider:
Postal: Iowa State University, Dept. of Economics, 260 Heady Hall, Ames, IA 50011-1070
Phone: +1 515.294.6741
Fax: +1 515.294.0221
Email:
Web page: http://www.econ.iastate.edu
More information through EDIRC

For technical questions regarding this item, or to correct its listing, contact: (Stephanie Bridges).

Related research
Keywords: Segregation; schools; education; diversity;

Find related papers by JEL classification:
D6 - Microeconomics - - Welfare Economics

This paper has been announced in the following NEP Reports:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Frankel, David M. & Volij, Oscar, 2007. "Measuring Segregation," Staff General Research Papers 12818, Iowa State University, Department of Economics. [Downloadable!]
    Other versions:
  2. Hutchens, Robert, 2001. "Numerical measures of segregation: desirable properties and their implications," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 13-29, July. [Downloadable!] (restricted)
  3. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April. [Downloadable!] (restricted)
  4. Eric A. Hanushek & John F. Kain & Steven G. Rivkin, 2002. "New Evidence about Brown v. Board of Education: The Complex Effects of School Racial Composition on Achievement," NBER Working Papers 8741, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  5. Michael Boozer & Alan Krueger & Shari Wolkon, 1992. "Race and School Quality Since Brown vs. Board of Education," Working Papers 681, Princeton University, Department of Economics, Industrial Relations Section.. [Downloadable!]
    Other versions:
  6. repec:fth:prinin:301 is not listed on IDEAS
  7. David M. Cutler & Edward L. Glaeser & Jacob L. Vigdor, 1999. "The Rise and Decline of the American Ghetto," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 455-506, June. [Downloadable!] (restricted)
    Other versions:
  8. Macpherson, David A & Hirsch, Barry T, 1995. "Wages and Gender Composition: Why Do Women's Jobs Pay Less?," Journal of Labor Economics, University of Chicago Press, vol. 13(3), pages 426-71, July. [Downloadable!] (restricted)
  9. Federico Echenique & Roland G. Fryer, Jr., 2005. "On the Measurement of Segregation," NBER Working Papers 11258, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  10. Cutler, David M & Glaeser, Edward L, 1997. "Are Ghettos Good or Bad?," The Quarterly Journal of Economics, MIT Press, vol. 112(3), pages 827-72, August.
    Other versions:
  11. Philipson Tomas, 1993. "Social Welfare and Measurement of Segregation," Journal of Economic Theory, Elsevier, vol. 60(2), pages 322-334, August. [Downloadable!] (restricted)
  12. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September. [Downloadable!] (restricted)
  13. Chakravarty, Satya R. & Silber, Jacques, 2007. "A generalized index of employment segregation," Mathematical Social Sciences, Elsevier, vol. 53(2), pages 185-195, March. [Downloadable!] (restricted)
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. David Frankel & Oscar Volij, 2005. "Measuring Segregation," Economic theory and game theory 017, Oscar Volij. [Downloadable!]
    Other versions:
Statistics
Access and download statistics

Did you know? Cannot find something on IDEAS? Encourage the publisher to index it! Instructions.

This page was last updated on 2009-11-21.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.