26. Consider a four-person voting system with voters , , , and . The winning coalitions are , , , , and .
List the minimal winning coalitions.
A minimal blocking coalition is a set of voters that is voting against a measure, has sufficient voting weight to prevent the measure from passing, and in which the votes of each participant is essential to do so. Show that has veto power and therefore that is a minimal blocking coalition.
Find another minimal blocking coalition.
Determine the Banzhaf power index of each voter.
Find an equivalent weighted voting system. (Hint: If two voters have the same Banzhaf index, give them the same weight.)