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Mathematical structures of simple voting games

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  • Machover, Moshé
  • Terrington, Simon

Abstract

We address simple voting games (SVGs) as mathematical objects in their own right, and study structures made up of these objects, rather than focusing on SVGs primarily as co-operative games. To this end it is convenient to employ the conceptual framework and language of category theory. This enables us to uncover the underlying unity of the basic operations involving SVGs.

Suggested Citation

  • Machover, Moshé & Terrington, Simon, 2013. "Mathematical structures of simple voting games," MPRA Paper 43939, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:43939
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    References listed on IDEAS

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    1. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489.
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    Cited by:

    1. Peter A. Streufert, 2021. "A Category for Extensive-Form Games," Papers 2105.11398, arXiv.org.
    2. Streufert, Peter, 2018. "The Category of Node-and-Choice Forms, with Subcategories for Choice-Sequence Forms and Choice-Set Forms," MPRA Paper 90490, University Library of Munich, Germany.
    3. Peter A. Streufert, 2020. "The Category of Node-and-Choice Extensive-Form Games," Papers 2004.11196, arXiv.org, revised Jul 2020.
    4. Kurz, Sascha & Mayer, Alexander & Napel, Stefan, 2020. "Weighted committee games," European Journal of Operational Research, Elsevier, vol. 282(3), pages 972-979.

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    More about this item

    Keywords

    Simple games; Lattice of simple games; Category;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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