We consider the problem of manipulation of elections using positional voting rules under impartial culture voter behaviour. We consider both the logical possibility of coalitional manipulation, and the number of voters who must be recruited to form a manipulating coalition. It is shown that the...

We study a basic sequential model for the formation of winning coalitions in a simple game, well known from its use in defining the Shapley–Shubik power index. We derive in a uniform way a family of measures of collective and individual decisiveness in simple games, and show that, as for the...