Indices of criticality in simple games
Dall'Aglio, Marco; Fragnelli, Vito; Moretti, Stefano (2019), Indices of criticality in simple games, International Game Theory Review, 21, 1, p. 1-21. 10.1142/S0219198919400036
TypeArticle accepté pour publication ou publié
Journal nameInternational Game Theory Review
MetadataShow full item record
Department of Economics and Finance
University of eastern piedmont of Novara
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Abstract (EN)Power indices in simple games measure the relevance of a player through her ability in being critical, i.e. essential for a coalition to win. We introduce new indices that measure the power of a player in being decisive through the collaboration of other players. We study the behavior of these criticality indices to compare the power of different players within a single voting situation, and that of the same player with varying weight across different voting situations. In both cases we establish monotonicity results in line with those of Turnovec . Finally, we examine which properties characterizing the indices of Shapley–Shubik and Banzhaf are shared by these new indices.
Subjects / KeywordsSimple games; power indices; criticality; weighted majority games; monotonicity
Showing items related by title and author.