A note about games-composition dimension

AbstractThe main contribution of this paper is the calculation of the dimension of simple games that are a composition of unanimity games via individualism. We also provide a constructive procedure that represent this type of game as an intersection of a number of weighted majority games equal to its dimension. This provides a better way to achieve exponential dimension (in a monotonic setting) than that of Taylor and Zwicker (Simple Games, Desirability Relations, Trading and Pseudoweightings, Princeton University Press, Princeton, NJ, 1999)