We use multinomial values to study the effects of the partnership formation in cooperative games, comparing the joint effect on the involved players with the alternative alliance formation. The simple game case is especially ...

In order to study voting situations when voters can also abstain and the output is binary, i.e., either approval or rejection, a new extended model of voting rule was defined. Accordingly, indices of power, in particular ...

Any power index defines a total preorder in a simple game and, thus, induces a hierarchy among its players. The desirability relation, which is also a preorder, induces the same hierarchy as the Banzhaf and the Shapley ...