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Individual Powers and Social Consent: An Axiomatic Approach

Author

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  • Biung-Ghi Ju

    (Department of Economics, The University of Kansas)

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.

Suggested Citation

  • Biung-Ghi Ju, 2005. "Individual Powers and Social Consent: An Axiomatic Approach," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200508, University of Kansas, Department of Economics, revised Mar 2005.
  • Handle: RePEc:kan:wpaper:200508
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    File URL: http://www.ku.edu/~bgju/2005Papers/200508.pdf
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    References listed on IDEAS

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    1. Sen, Amartya K, 1976. "Liberty, Unanimity and Rights," Economica, London School of Economics and Political Science, vol. 43(171), pages 217-245, August.
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    5. Biung-Ghi Ju, 2005. "An efficiency characterization of plurality social choice on simple preference domains," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(1), pages 115-128, July.
    6. Julian H. Blau, 1975. "Liberal Values and Independence," Review of Economic Studies, Oxford University Press, vol. 42(3), pages 395-401.
    7. Samet, Dov & Schmeidler, David, 2003. "Between liberalism and democracy," Journal of Economic Theory, Elsevier, vol. 110(2), pages 213-233, June.
    8. Miller, Alan D., 2008. "Group identification," Games and Economic Behavior, Elsevier, vol. 63(1), pages 188-202, May.
    9. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
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    Cited by:

    1. Murat Çengelci & M. Sanver, 2010. "Simple Collective Identity Functions," Theory and Decision, Springer, vol. 68(4), pages 417-443, April.
    2. repec:spr:jogath:v:47:y:2018:i:1:d:10.1007_s00182-017-0582-x is not listed on IDEAS
    3. Miller, Alan D., 2013. "Community standards," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2696-2705.
    4. Cho, Wonki Jo & Ju, Biung-Ghi, 2017. "Multinary group identification," Theoretical Economics, Econometric Society, vol. 12(2), May.
    5. Miller, Alan D., 2008. "Group identification," Games and Economic Behavior, Elsevier, vol. 63(1), pages 188-202, May.
    6. Balazs Sziklai, 2015. "On how to identify experts in a community," IEHAS Discussion Papers 1549, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.

    More about this item

    Keywords

    Powers; Consent; Libertarian Rights; Monotonicity; Independence; Symmetric linkage; Symmetry; Pareto efficiency; Plurality;

    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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