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Procedural group identification

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Author Info

  • Dinko Dimitrov

    ()
    (Institute of Mathematical Economics, Bielefeld University)

  • Shao Chin Sung

    ()
    (Department of Industrial and Systems Engineering, Aoyama Gakuin University)

  • Yongsheng Xu

    ()
    (Department of Economics, Andrew Young School of Policy Studies, Georgia State University)

Abstract

In this paper we axiomatically characterize two recursive procedures for defining a social group. The first procedure starts with the set of all individuals who are defined by everyone in the society as group members, while the starting point of the second procedure is the set of all individuals who define themselves as members of the social group. Both procedures expand these initial sets by adding individuals who are considered to be appropriate group members by someone in the corresponding initial set, and continue inductively un- til there is no possibility of expansion any more.

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File URL: http://www.imw.uni-bielefeld.de/papers/files/imw-wp-383.pdf
File Function: First version, 2006
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Bibliographic Info

Paper provided by Bielefeld University, Center for Mathematical Economics in its series Working Papers with number 383.

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Length: 21 pages
Date of creation: Sep 2006
Date of revision:
Handle: RePEc:bie:wpaper:383

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Related research

Keywords: consensus; liberalism; procedure; social identity;

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References

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  1. BARBERA, Salvador & MASCHLER, Michael & SHALEV, Jonathan, 1998. "Voting for voters: a model of electoral evolution," CORE Discussion Papers 1998022, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Nicolas, Houy, 2007. ""I want to be a J!": Liberalism in group identification problems," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 59-70, July.
  3. George A. Akerlof & Rachel E. Kranton, 2000. "Economics And Identity," The Quarterly Journal of Economics, MIT Press, vol. 115(3), pages 715-753, August.
  4. repec:ebl:ecbull:v:4:y:2006:i:4:p:1-6 is not listed on IDEAS
  5. Sen, Amartya, 1970. "The Impossibility of a Paretian Liberal," Journal of Political Economy, University of Chicago Press, vol. 78(1), pages 152-57, Jan.-Feb..
  6. Sen, Amartya Kumar, 1970. "The Impossibility of a Paretian Liberal," Scholarly Articles 3612779, Harvard University Department of Economics.
  7. David Schmeidler, 2000. "Between LIberalism and Democracy," Working Papers 00-08, Ohio State University, Department of Economics.
  8. Dolors Berga & Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2004. "Stability and voting by committees with exit," Social Choice and Welfare, Springer, vol. 23(2), pages 229-247, October.
  9. Dimitrov, D.A. & Sung, S.C., 2003. "On the Axiomatic Characterization of "Who is a J?"," Discussion Paper 2003-89, Tilburg University, Center for Economic Research.
  10. Billot, Antoine, 2003. " How Liberalism Kills Democracy or Sen's Theorem Revisited," Public Choice, Springer, vol. 116(3-4), pages 247-70, September.
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Citations

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Cited by:
  1. José Alcantud & Ritxar Arlegi, 2012. "An axiomatic analysis of ranking sets under simple categorization," SERIEs, Spanish Economic Association, vol. 3(1), pages 227-245, March.
  2. Dimitrov, Dinko & Puppe, Clemens, 2011. "Non-bossy social classification," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 162-165.
  3. Miller, Alan D., 2008. "Group identification," Games and Economic Behavior, Elsevier, vol. 63(1), pages 188-202, May.
  4. repec:ebl:ecbull:v:4:y:2006:i:4:p:1-6 is not listed on IDEAS
  5. repec:lmu:muenec:6431 is not listed on IDEAS
  6. Stefano Vannucci, 2007. "Virtuous Circles and Contested Identities: on Collective Identification Procedures with Independent Qualified Certification," Department of Economics University of Siena 501, Department of Economics, University of Siena.
  7. Dinko Dimitrov & Thierry Marchant & Debasis Mishra, 2009. "Separability and aggregation of equivalence relations," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 09-06, Indian Statistical Institute, New Delhi, India.
  8. Nicolas, Houy, 2007. ""I want to be a J!": Liberalism in group identification problems," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 59-70, July.
  9. Murat Çengelci & M. Sanver, 2010. "Simple Collective Identity Functions," Theory and Decision, Springer, vol. 68(4), pages 417-443, April.
  10. Nicolas Houy, 2006. "He said that he said that I am a J," Economics Bulletin, AccessEcon, vol. 4(4), pages 1-6.

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