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Semivalues: power,potential and multilinear extensions

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  • Carreras, Francesc
  • Giménez, José Miguel

Abstract

The notions of power and potential, both defined for any semivalue, give rise to two endomorphisms of the vector space of all cooperative games on a given player set. Several properties of these linear mappings are stated and their action on unanimity games is emphasized. We also relate in both cases the multilinear extension of the image game to the multilinear extension of the original game.

Suggested Citation

  • Carreras, Francesc & Giménez, José Miguel, 2010. "Semivalues: power,potential and multilinear extensions," MPRA Paper 27620, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:27620
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    File URL: https://mpra.ub.uni-muenchen.de/27620/1/MPRA_paper_27620.pdf
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    References listed on IDEAS

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    More about this item

    Keywords

    Cooperative game; Semivalue; Power; Potential; Multilinear extension;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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