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Embedding Classical Indices in the FP Family

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Abstract

Recently, a new family of power indices, the FP, was introduced by Fragnelli, Ottone and Sattanino (2009), requiring that the parties of a majority are ideologically contiguous along a left-right axis. The different choices of some parameters allow representing various situations, resulting in different indices in this family. In this paper we analyze how to select the parameters with the aim of transferring some properties of classical power indices. We start by relaxing the hypothesis of contiguity. Then, we reduce the relevance of non-contiguous coalitions, defining a sequence of indices that converges to a modified version of the classical indices. The method is applied to the Italian lower chamber. Finally, we extend our approach to situations in which the parties are not necessarily ordered according to the left-right axis, expressing their relations by a graph, following the idea of Myerson (1977).

Suggested Citation

  • Michela Chessa & Vito Fragnelli, 2011. "Embedding Classical Indices in the FP Family," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 5(3), pages 289-305, November.
  • Handle: RePEc:fau:aucocz:au2011_289
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    1. Ehud Kalai & Dov Samet, 1983. "On Weighted Shapley Values," Discussion Papers 602, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    2. Dan Felsenthal & Moshé Machover, 2005. "Voting power measurement: a story of misreinvention," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(2), pages 485-506, December.
    3. repec:cup:apsrev:v:48:y:1954:i:03:p:787-792_00 is not listed on IDEAS
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    Cited by:

    1. repec:wut:journl:v:3-4:y:2011:id:1012 is not listed on IDEAS
    2. Michela Chessa & Vito Fragnelli, 2011. "Quantitative evaluation of veto power," Operations Research and Decisions, Wroclaw University of Technology, Institute of Organization and Management, vol. 3, pages 5-19.

    More about this item

    Keywords

    Weighted majority games; power indices; contiguous coalitions;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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