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Independent collective identity functions as voting rules

Author

Listed:
  • José Carlos R. Alcantud

    (BORDA Research Unit and Multidisciplinary Institute of Enterprise (IME), University of Salamanca)

  • Annick Laruelle

    (BRiDGE, Foundation of Economic Analysis I, University of the Basque Country (UPV/EHU)
    IKERBASQUE, Basque Foundation of Science)

Abstract

In this paper we study collective identity functions that deal with formation of clubs. Usually the choice offered to individuals is to cast a vote in favor of qualification or not, and the final outcome is qualification or non-qualification. In this context we show that independent collective identity functions are naturally characterized by voting rules, and in particular, consent rules can be represented by one single collection of weighted majorities. In addition, we consider the extended model where voters are allowed to abstain and we distinguish between disqualification and a neutral outcome. We show that this environment allows agents to act in different capacities that cannot be distinguished in the original formulation of the problem.

Suggested Citation

  • 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.
    • Handle: RePEc:kap:theord:v:89:y:2020:i:1:d:10.1007_s11238-019-09743-2
    DOI: 10.1007/s11238-019-09743-2
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    References listed on IDEAS

    as
    1. Samet, Dov & Schmeidler, David, 2003. "Between liberalism and democracy," Journal of Economic Theory, Elsevier, vol. 110(2), pages 213-233, June.
    2. Alcantud, José Carlos R. & Laruelle, Annick, 2018. "Collective identity functions with status quo," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 159-166.
    3. Nicolas Houy, 2006. "He said that he said that I am a J," Economics Bulletin, AccessEcon, vol. 4(4), pages 1-6.
    4. Miller, Alan D., 2008. "Group identification," Games and Economic Behavior, Elsevier, vol. 63(1), pages 188-202, May.
    5. Dimitrov, Dinko & Sung, Shao Chin & Xu, Yongsheng, 2007. "Procedural group identification," Mathematical Social Sciences, Elsevier, vol. 54(2), pages 137-146, September.
    6. Murat Çengelci & M. Sanver, 2010. "Simple Collective Identity Functions," Theory and Decision, Springer, vol. 68(4), pages 417-443, April.
    7. Biung-Ghi Ju, 2013. "On the characterization of liberalism by Samet and Schmeidler," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 359-366, February.
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    Cited by:

    1. John Craven, 2023. "Self-designation and group allocation," Theory and Decision, Springer, vol. 94(1), pages 121-133, January.

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