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Characterization of the Shapley-Shubik Power Index Without the Efficiency Axiom

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Author Info

  • Ezra Einy

    ()
    (Department of Economics, Ben-Gurion University of the Negev, Israel)

  • Ori Haimanko

    ()
    (Department of Economics, Ben-Gurion University of the Negev, Israel)

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    Abstract

    We show that the Shapley-Shubik power index on the domain of simple (voting) games can be uniquely characterized without the e¢ ciency axiom. In our axiomatization, the efficiency is replaced by the following weaker require- ment that we term the gain-loss axiom: any gain in power by a player implies a loss for someone else (the axiom does not specify the extent of the loss). The rest of our axioms are standard: transfer (which is the version of additivity adapted for simple games), symmetry or equal treatment, and dummy

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    File URL: http://www.ec.bgu.ac.il/monaster/admin/papers/1004.pdf
    File Function: First version, 2010
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    Bibliographic Info

    Paper provided by Ben-Gurion University of the Negev, Department of Economics in its series Working Papers with number 1004.

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    Length: 13 pages
    Date of creation: 2010
    Date of revision:
    Handle: RePEc:bgu:wpaper:1004

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    Related research

    Keywords: Simple Games; Shapley-Shubik Power Index; Effciency Axiom;

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