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On the dimension of simple monotonic games

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  • Deineko, Vladimir G.
  • Woeginger, Gerhard J.

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  • Deineko, Vladimir G. & Woeginger, Gerhard J., 2006. "On the dimension of simple monotonic games," European Journal of Operational Research, Elsevier, vol. 170(1), pages 315-318, April.
    • Handle: RePEc:eee:ejores:v:170:y:2006:i:1:p:315-318
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    References listed on IDEAS

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    1. 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.
    2. Freixas, J., 2004. "The dimension for the European Union Council under the Nice rules," European Journal of Operational Research, Elsevier, vol. 156(2), pages 415-419, July.
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    Cited by:

    1. Frits Hof & Walter Kern & Sascha Kurz & Kanstantsin Pashkovich & Daniël Paulusma, 2020. "Simple games versus weighted voting games: bounding the critical threshold value," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 609-621, April.
    2. Guemmegne, Juliette T. & Pongou, Roland, 2014. "A policy-based rationalization of collective rules: Dimensionality, specialized houses, and decentralized authority," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 182-193.
    3. Josep Freixas & Sascha Kurz, 2014. "On $${\alpha }$$ α -roughly weighted games," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(3), pages 659-692, August.
    4. Josep Freixas & Sascha Kurz, 2019. "Bounds for the Nakamura number," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(4), pages 607-634, April.
    5. Sascha Kurz & Stefan Napel, 2014. "Heuristic and exact solutions to the inverse power index problem for small voting bodies," Annals of Operations Research, Springer, vol. 215(1), pages 137-163, April.
    6. Molinero, Xavier & Riquelme, Fabián & Roura, Salvador & Serna, Maria, 2023. "On the generalized dimension and codimension of simple games," European Journal of Operational Research, Elsevier, vol. 306(2), pages 927-940.
    7. Gerhard J. Woeginger, 2021. "The trouble with the second quantifier," 4OR, Springer, vol. 19(2), pages 157-181, June.
    8. Gusev, Vasily V., 2023. "Set-weighted games and their application to the cover problem," European Journal of Operational Research, Elsevier, vol. 305(1), pages 438-450.
    9. Sascha Kurz & Nikolas Tautenhahn, 2013. "On Dedekind’s problem for complete simple games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 411-437, May.
    10. 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.
    11. O’Dwyer, Liam & Slinko, Arkadii, 2017. "Growth of dimension in complete simple games," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 2-8.
    12. 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.
    13. Bhattacherjee, Sanjay & Chakravarty, Satya R. & Sarkar, Palash, 2022. "A General Model for Multi-Parameter Weighted Voting Games," MPRA Paper 115407, University Library of Munich, Germany.
    14. 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.
    15. Molinero, Xavier & Riquelme, Fabián & Serna, Maria, 2015. "Cooperation through social influence," European Journal of Operational Research, Elsevier, vol. 242(3), pages 960-974.

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