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Pré-publication, Document de travail Année : 2014

Twin relationships in Parsimonious Games: some results

Résumé

In a vintage paper concerning Parsimonious games, a subset of constant sum homogeneous weighted majority games, Isbell introduced a twin relationship based on transposition properties of the incidence matrices upon minimal winning coalitions of such games. A careful investigation of such properties allowed the discovery of some results on twin games presented in this paper. In detail we show that a) twin games have the same minimal winning quota and b) each Parsimonious game admits a unique balanced lottery on minimal winning coalitions, whose probabilities are given by the individual weights of its twin game.
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Dates et versions

hal-00950076, version 1 (20-02-2014)

Identifiants

  • HAL Id : hal-00950076 , version 1
  • ARXIV : 1404.2305

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Flavio Pressacco, Giacomo Plazzotta, Laura Ziani. Twin relationships in Parsimonious Games: some results. 2014. ⟨hal-00950076⟩
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Dernière date de mise à jour le 06/04/2024
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