Suppose a game has four players with votes 4, 2, 1, 1, respectively, for each player i = 1, 2, 3,…

Suppose a game has four players with votes 4, 2, 1, 1, respectively, for each player i = 1, 2, 3, 4. The quota is q = 5. Show that the Banzhaf–Coleman index for player 1 is more than twice the index for player 2 even though player 2 has exactly half the votes player 1 does