Consider the weighted voting system [16: 12,10,4,2] . Which player(s), if any, are dummies? A) P₃ B) P₄ C) Both P₃ and P₄ D) There are no dummies in this system. E) None of the above.

Question

Quizplus · Accepted Answer

In a weighted voting system, a dummy is a player who does not have any power to influence the outcome of a vote, either on their own or in any coalition. In the given system [16: 12,10,4,2], all players have some power. The player with 12 votes can form a winning coalition with any other player, the player with 10 votes can also form a winning coalition with the player with 12 votes or both of the smaller players, and the players with 4 and 2 votes can contribute to winning coalitions, especially when combined. Therefore, there are no dummies in this system.

Consider the Weighted Voting System [16: 12,10,4,2]