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Procedural group identification

Author

Listed:
  • Dimitrov, Dinko
  • Sung, Shao Chin
  • Xu, Yongsheng

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 define themselves as members of the social group, while the starting point of the second procedure is the set of all individuals who are defined by everyone in the society as group members.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 until there is no possibility of expansion any more.
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Suggested Citation

  • Dimitrov, Dinko & Sung, Shao Chin & Xu, Yongsheng, 2007. "Procedural group identification," Mathematical Social Sciences, Elsevier, vol. 54(2), pages 137-146, September.
  • Handle: RePEc:eee:matsoc:v:54:y:2007:i:2:p:137-146
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    1. Sen, Amartya Kumar, 1970. "The Impossibility of a Paretian Liberal," Scholarly Articles 3612779, Harvard University Department of Economics.
    2. Sen, Amartya, 1970. "The Impossibility of a Paretian Liberal," Journal of Political Economy, University of Chicago Press, vol. 78(1), pages 152-157, Jan.-Feb..
    3. 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.
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    6. George A. Akerlof & Rachel E. Kranton, 2000. "Economics and Identity," The Quarterly Journal of Economics, Oxford University Press, vol. 115(3), pages 715-753.
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    8. repec:ebl:ecbull:v:4:y:2006:i:4:p:1-6 is not listed on IDEAS
    9. Dolors Berga & Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2004. "Stability and voting by committees with exit," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(2), pages 229-247, October.
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    Cited by:

    1. repec:spr:grdene:v:17:y:2008:i:6:d:10.1007_s10726-008-9108-z is not listed on IDEAS
    2. Maniquet, François & Mongin, Philippe, 2016. "A theorem on aggregating classifications," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 6-10.
    3. Murat Çengelci & M. Sanver, 2010. "Simple Collective Identity Functions," Theory and Decision, Springer, vol. 68(4), pages 417-443, April.
    4. Dimitrov, Dinko & Puppe, Clemens, 2011. "Non-bossy social classification," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 162-165.
    5. Arlegi, Ritxar & Dimitrov, Dinko, 2016. "Power set extensions of dichotomous preferences," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 20-29.
    6. Dinko Dimitrov & Thierry Marchant & Debasis Mishra, 2012. "Separability and aggregation of equivalence relations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(1), pages 191-212, September.
    7. 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.
    8. 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.
    9. Miller, Alan D., 2008. "Group identification," Games and Economic Behavior, Elsevier, vol. 63(1), pages 188-202, May.
    10. José Alcantud & Ritxar Arlegi, 2012. "An axiomatic analysis of ranking sets under simple categorization," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 227-245, March.
    11. Nicolas Houy, 2006. "He said that he said that I am a J," Economics Bulletin, AccessEcon, vol. 4(4), pages 1-6.
    12. repec:ebl:ecbull:v:4:y:2006:i:4:p:1-6 is not listed on IDEAS

    More about this item

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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