Question 11.70

40. The voting system in use by the U.N. Security Council is described in Example 21 (page 490).

  1. Show that this voting system is equivalent to the weighted voting system in which each of the 5 permanent members has 7 votes, the 10 nonpermanent members each have 1 vote, and the quota is 39.
  2. Compute the Banzhaf power index for a permanent member and for a nonpermanent member.
  3. The Security Council originally had 5 permanent members and 6 members who served two-year terms. Each permanent member had veto power, and 6 votes were required to resolve an issue. Devise an equivalent weighted voting system and compute its Banzhaf index.
  4. image Do you think that the addition of four more nonpermanent members caused the permanent members to lose significant power?