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Procedural group identification

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  • 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 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 until there is no possibility of expansion any more.
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  • 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. Billot, Antoine, 2003. "How Liberalism Kills Democracy or Sen's Theorem Revisited," Public Choice, Springer, vol. 116(3-4), pages 247-270, September.
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    10. 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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    Cited by:

    1. Miguel A. Ballester & José Luis García-Lapresta, 2008. "A Model of Elitist Qualification," Group Decision and Negotiation, Springer, vol. 17(6), pages 497-513, November.
    2. Maniquet, François & Mongin, Philippe, 2016. "A theorem on aggregating classifications," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 6-10.
    3. Alcantud, José Carlos R. & Laruelle, Annick, 2018. "Collective identity functions with status quo," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 159-166.
    4. Murat Çengelci & M. Sanver, 2010. "Simple Collective Identity Functions," Theory and Decision, Springer, vol. 68(4), pages 417-443, April.
    5. Dimitrov, Dinko & Puppe, Clemens, 2011. "Non-bossy social classification," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 162-165.
    6. Arlegi, Ritxar & Dimitrov, Dinko, 2016. "Power set extensions of dichotomous preferences," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 20-29.
    7. José Carlos R. Alcantud & Annick Laruelle, 2020. "Independent collective identity functions as voting rules," Theory and Decision, Springer, vol. 89(1), pages 107-119, July.
    8. Balázs Sziklai, 2018. "How to identify experts in a community?," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 155-173, March.
    9. Cho, Wonki Jo & Park, Chang Woo, 2018. "Fractional group identification," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 66-75.
    10. 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.
    11. Cho, Wonki Jo & Ju, Biung-Ghi, 2017. "Multinary group identification," Theoretical Economics, Econometric Society, vol. 12(2), May.
    12. 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.
    13. 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.
    14. Cho, Wonki Jo, 2018. "Fairness in group identification," Mathematical Social Sciences, Elsevier, vol. 94(C), pages 35-40.
    15. Miller, Alan D., 2008. "Group identification," Games and Economic Behavior, Elsevier, vol. 63(1), pages 188-202, May.
    16. 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.
    17. Nicolas Houy, 2006. "He said that he said that I am a J," Economics Bulletin, AccessEcon, vol. 4(4), pages 1-6.
    18. repec:ebl:ecbull:v:4:y:2006:i:4:p:1-6 is not listed on IDEAS

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    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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