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Group identification: An integrated approach

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  • Cho, Wonki Jo
  • Ju, Biung-Ghi

Abstract

Consider social decision rules identifying two or more groups by aggregating individual opinions on who belong to which group. We search for rules respecting cross-group independence in the aggregation process. This independence axiom or its variants, together with other implicit constraints in the two models by Miller (2008) and Cho and Ju (2017), characterize a restricted family of rules; the only “democratic” rule in this family is the liberal rule. Our new framework provides a unified perspective on the main results of the two papers and uncovers implicit constraints in their modeling. Once those constraints are weakened, there emerge a richer family of independent rules including the consent rules (Samet and Schmeidler, 2003). The standard majority rule and many other democratic rules lying between the majority and liberal rules are examples. We also provide a characterization of the consent rules.

Suggested Citation

  • Cho, Wonki Jo & Ju, Biung-Ghi, 2020. "Group identification: An integrated approach," Games and Economic Behavior, Elsevier, vol. 123(C), pages 171-181.
    • Handle: RePEc:eee:gamebe:v:123:y:2020:i:c:p:171-181
    DOI: 10.1016/j.geb.2020.05.009
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    References listed on IDEAS

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    1. Biung-Ghi Ju, 2010. "Individual powers and social consent: an axiomatic approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(4), pages 571-596, April.
    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. Murat Çengelci & M. Sanver, 2010. "Simple Collective Identity Functions," Theory and Decision, Springer, vol. 68(4), pages 417-443, April.
    4. Cho, Wonki Jo & Ju, Biung-Ghi, 2017. "Multinary group identification," Theoretical Economics, Econometric Society, vol. 12(2), May.
    5. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    6. Samet, Dov & Schmeidler, David, 2003. "Between liberalism and democracy," Journal of Economic Theory, Elsevier, vol. 110(2), pages 213-233, June.
    7. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    8. Thomson, William, 2012. "On The Axiomatics Of Resource Allocation: Interpreting The Consistency Principle," Economics and Philosophy, Cambridge University Press, vol. 28(3), pages 385-421, November.
    9. 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.
    10. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    11. Miller, Alan D., 2008. "Group identification," Games and Economic Behavior, Elsevier, vol. 63(1), pages 188-202, May.
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    Citations

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    Cited by:

    1. Mukashov, A., 2023. "Parameter uncertainty in policy planning models: Using portfolio management methods to choose optimal policies under world market volatility," Economic Analysis and Policy, Elsevier, vol. 77(C), pages 187-202.
    2. Christopher P. Chambers & Alan D. Miller, 2023. "Multiple Adjusted Quantiles," Papers 2305.06354, arXiv.org.
    3. Cho, Wonki Jo & Moreno-Ternero, Juan D., 2024. "On reaching social consent," Journal of Mathematical Economics, Elsevier, vol. 110(C).
    4. Yang, Yongjie & Dimitrov, Dinko, 2023. "Group control for consent rules with consecutive qualifications," Mathematical Social Sciences, Elsevier, vol. 121(C), pages 1-7.

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    More about this item

    Keywords

    Group identification; Independence; Consistency; One-vote rules; Liberal rule; Consent rules; Boolean algebra;
    All these keywords.

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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