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On the characterization of liberalism by Samet and Schmeidler

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  • Biung-Ghi Ju

Abstract

In the model of group identification, Samet and Schmeidler (J Econ Theory 110:213–233, 2003 ) provide two axiomatic characterizations of the“liberal” decision rule (a person is socially qualified as a member of a collective if and only if he qualifies himself). They impose standard monotonicity, non-degeneracy, and independence axioms, together with either exclusive self-determination (opinions by disqualified persons about qualified persons should not matter) or affirmative self-determination (social decision on who are qualified should coincide with social decision on who should be the qualifiers). Dropping monotonicity (and also non-degeneracy in a result) and considering a more general domain to allow neutral opinions, we characterize a larger family of “self-dependent” rules that share the important feature of liberalism that qualification of i depends only on i’s own opinion about himself or herself. Samet and Schmeidler’s results can be obtained with a weaker set of axioms and with a more general domain condition. Copyright Springer-Verlag 2013

Suggested Citation

  • 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.
    • Handle: RePEc:spr:sochwe:v:40:y:2013:i:2:p:359-366
    DOI: 10.1007/s00355-011-0606-6
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    References listed on IDEAS

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    1. Samet, Dov & Schmeidler, David, 2003. "Between liberalism and democracy," Journal of Economic Theory, Elsevier, vol. 110(2), pages 213-233, June.
    2. Miller, Alan D., 2008. "Group identification," Games and Economic Behavior, Elsevier, vol. 63(1), pages 188-202, May.
    3. Rubinstein, Ariel & Fishburn, Peter C., 1986. "Algebraic aggregation theory," Journal of Economic Theory, Elsevier, vol. 38(1), pages 63-77, February.
    4. Murat Çengelci & M. Sanver, 2010. "Simple Collective Identity Functions," Theory and Decision, Springer, vol. 68(4), pages 417-443, April.
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    Cited by:

    1. Leo Katz & Alvaro Sandroni, 2020. "Limits on power and rationality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 507-521, March.
    2. Cho, Wonki Jo & Park, Chang Woo, 2018. "Fractional group identification," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 66-75.
    3. Cho, Wonki Jo & Ju, Biung-Ghi, 2020. "Group identification: An integrated approach," Games and Economic Behavior, Elsevier, vol. 123(C), pages 171-181.
    4. Cho, Wonki Jo, 2018. "Fairness in group identification," Mathematical Social Sciences, Elsevier, vol. 94(C), pages 35-40.
    5. Susumu Cato & Stéphane Gonzalez & Eric Rémila & Philippe Solal, 2022. "Approval voting versus proportional threshold methods: so far and yet so near," Working Papers halshs-03858356, HAL.
    6. J. C. R. Alcantud & R. Andrés Calle & J. M. Cascón, 2015. "Pairwise Dichotomous Cohesiveness Measures," Group Decision and Negotiation, Springer, vol. 24(5), pages 833-854, September.
    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. Cho, Wonki Jo & Ju, Biung-Ghi, 2017. "Multinary group identification," Theoretical Economics, Econometric Society, vol. 12(2), May.
    9. Wonki Jo Cho & Alejandro Saporiti, 2015. "Incentives, Fairness, and Efficiency in Group Identification," Economics Discussion Paper Series 1501, Economics, The University of Manchester.

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