We generalize the notion of power index for simple games to different orders of criticality, where the order of criticality represents the possibility for players to gain more power over the members of a coalition thanks to the collusion with other players. We study the behaviour 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 (1998). Finally, we examine which properties characterizing the indices of Shapley-Shubik and Banzhaf are shared by these new indices
We generalize the notion of power index for simple games to different orders of criticality, where t...
Abstract Power indices are commonly required to assign at least as much power to a player endowed wi...
Power indices are commonly required to assign at least as much power to a player endowed with some g...
We generalize the notion of power index for simple games to different orders of criticality, where t...
Power indices in simple games measure the relevance of a player through her ability in being critica...
Power indices in simple games measure the relevance of a player through her ability in being critica...
Power indices in simple games measure the relevance of a player through her ability in being critica...
Power indices in simple games measure the relevance of a player through her ability in being critica...
Power indices in simple games measure the relevance of a player through her ability in being critica...
Power indices in simple games measure the relevance of a player through her ability in being critica...
We generalize the notion of power index for simple games to different orders of criticality, where t...
We generalize the notion of power index for simple games to different orders of criticality, where t...
We generalize the notion of power index for simple games to different orders of criticality, where t...
We generalize the notion of power index for simple games to different orders of criticality, where t...
We generalize the notion of power index for simple games to different orders of criticality, where t...
We generalize the notion of power index for simple games to different orders of criticality, where t...
Abstract Power indices are commonly required to assign at least as much power to a player endowed wi...
Power indices are commonly required to assign at least as much power to a player endowed with some g...
We generalize the notion of power index for simple games to different orders of criticality, where t...
Power indices in simple games measure the relevance of a player through her ability in being critica...
Power indices in simple games measure the relevance of a player through her ability in being critica...
Power indices in simple games measure the relevance of a player through her ability in being critica...
Power indices in simple games measure the relevance of a player through her ability in being critica...
Power indices in simple games measure the relevance of a player through her ability in being critica...
Power indices in simple games measure the relevance of a player through her ability in being critica...
We generalize the notion of power index for simple games to different orders of criticality, where t...
We generalize the notion of power index for simple games to different orders of criticality, where t...
We generalize the notion of power index for simple games to different orders of criticality, where t...
We generalize the notion of power index for simple games to different orders of criticality, where t...
We generalize the notion of power index for simple games to different orders of criticality, where t...
We generalize the notion of power index for simple games to different orders of criticality, where t...
Abstract Power indices are commonly required to assign at least as much power to a player endowed wi...
Power indices are commonly required to assign at least as much power to a player endowed with some g...