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Individual powers and social consent: an axiomatic approach

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  • Biung-Ghi Ju

Abstract

We formalize a notion of conditionally decisive powers of which the exercise depends on social consent. Decisive powers, or the so-called libertarian rights, are examples and much weaker forms of powers are covered by our notion. Main results provide an axiomatic characterization for existence of a system of powers and its uniqueness as well as characterizations of various families of rules represented by systems of powers. In particular, we show that a rule satisfies monotonicity, independence, and symmetric linkage (person i and i¡¯s issues should be treated symmetrically to person j and j¡¯s issues for at least one linkage between issues and persons) if and only if there is a system of powers representing the rule and that the system is unique up to a natural equivalence relation. Considering a domain of simple preference relations (trichotomous or dichotomous preferences), we show that a rule satisfies Pareto efficiency, independence, and symmetry (the symmetric treatment condition in a model with an exogenous linkage between issues and persons) if and only if it is represented by a ¡°quasi-plurality system of powers¡±. For the exercise of a power under a quasi-plurality system, at least either a majority (or (n + 1)/2) consent or a 50% (or (n ? 1)/2) consent is needed.
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  • 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.
    • Handle: RePEc:spr:sochwe:v:34:y:2010:i:4:p:571-596
    DOI: 10.1007/s00355-009-0418-0
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    Cited by:

    1. Alcantud, José Carlos R. & Laruelle, Annick, 2018. "Collective identity functions with status quo," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 159-166.
    2. Murat Çengelci & M. Sanver, 2010. "Simple Collective Identity Functions," Theory and Decision, Springer, vol. 68(4), pages 417-443, April.
    3. Cho, Wonki Jo & Park, Chang Woo, 2018. "Fractional group identification," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 66-75.
    4. Cho, Wonki Jo & Ju, Biung-Ghi, 2020. "Group identification: An integrated approach," Games and Economic Behavior, Elsevier, vol. 123(C), pages 171-181.
    5. Cho, Wonki Jo, 2018. "Fairness in group identification," Mathematical Social Sciences, Elsevier, vol. 94(C), pages 35-40.
    6. 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.
    7. 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.
    8. Miller, Alan D., 2013. "Community standards," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2696-2705.
    9. Cho, Wonki Jo & Ju, Biung-Ghi, 2017. "Multinary group identification," Theoretical Economics, Econometric Society, vol. 12(2), May.
    10. Miller, Alan D., 2008. "Group identification," Games and Economic Behavior, Elsevier, vol. 63(1), pages 188-202, May.
    11. Cho, Wonki Jo & Moreno-Ternero, Juan D., 2024. "On reaching social consent," Journal of Mathematical Economics, Elsevier, vol. 110(C).
    12. Yukinori Iwata, 2022. "Ranking nomination rules on the basis of nominating power distributions," International Journal of Economic Theory, The International Society for Economic Theory, vol. 18(3), pages 382-401, September.

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    More about this item

    JEL classification:

    • 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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