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A minimum dimensional class of simple games


  • Josep Freixas


  • Dorota Marciniak


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Suggested Citation

  • Josep Freixas & Dorota Marciniak, 2009. "A minimum dimensional class of simple games," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(2), pages 407-414, December.
  • Handle: RePEc:spr:topjnl:v:17:y:2009:i:2:p:407-414
    DOI: 10.1007/s11750-009-0115-2

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    References listed on IDEAS

    1. Freixas, Josep & Puente, Maria Albina, 2008. "Dimension of complete simple games with minimum," European Journal of Operational Research, Elsevier, vol. 188(2), pages 555-568, July.
    2. Carreras, Francesc & Freixas, Josep, 2004. "A power analysis of linear games with consensus," Mathematical Social Sciences, Elsevier, vol. 48(2), pages 207-221, September.
    3. D. Kilgour & Terrence Levesque, 1984. "The Canadian constitutional amending formula: Bargaining in the past and the future," Public Choice, Springer, vol. 44(3), pages 457-480, January.
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    Cited by:

    1. repec:eee:matsoc:v:90:y:2017:i:c:p:2-8 is not listed on IDEAS
    2. Cheung, Wai-Shun & Ng, Tuen-Wai, 2014. "A three-dimensional voting system in Hong Kong," European Journal of Operational Research, Elsevier, vol. 236(1), pages 292-297.
    3. Freixas, Josep & Kurz, Sascha, 2014. "On minimum integer representations of weighted games," Mathematical Social Sciences, Elsevier, vol. 67(C), pages 9-22.
    4. Freixas, Josep & Kaniovski, Serguei, 2014. "The minimum sum representation as an index of voting power," European Journal of Operational Research, Elsevier, vol. 233(3), pages 739-748.
    5. Molinero, Xavier & Riquelme, Fabián & Serna, Maria, 2015. "Forms of representation for simple games: Sizes, conversions and equivalences," Mathematical Social Sciences, Elsevier, vol. 76(C), pages 87-102.
    6. Molinero, Xavier & Riquelme, Fabián & Serna, Maria, 2015. "Cooperation through social influence," European Journal of Operational Research, Elsevier, vol. 242(3), pages 960-974.

    More about this item


    Simple games; Hypergraphs; Boolean algebra; Dimension; Codimension; 05C65; 91A12; 94C10;

    JEL classification:


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