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Solving the Inverse Power Problem in Two-Tier Voting Settings

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  • Matthias Weber

    (CREED, University of Amsterdam)

Abstract

There are many situations in which different groups make collective decisions by committee voting, where each group is represented by a single person. Theoretical concepts suggest how the voting systems in such committees should be designed, but these abstract rules can usually not be implemented perfectly. To find voting systems that approximate these rules the so called inverse power problem needs to be solved. I introduce a new method to address this problem in two-tier voting settings using the coefficient of variation. This method can easily be applied to a wide variety of settings and rules. After deriving the new method, I illustrate why it is to be preferred over more traditional methods.

Suggested Citation

  • Matthias Weber, 2014. "Solving the Inverse Power Problem in Two-Tier Voting Settings," Tinbergen Institute Discussion Papers 14-019/I, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:20140019
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    File URL: https://papers.tinbergen.nl/14019.pdf
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    References listed on IDEAS

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    More about this item

    Keywords

    inverse power problem; indirect voting power; two-tier voting; Penrose’s Square Root Rule;
    All these keywords.

    JEL classification:

    • 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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