MATH 131 Chapter 2: Banzhaf Power Index
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A weighted voting system is a way of voting in which not all of the voters (or votes. Banzhaf power index collected) are representative of the same amount. They are weighted differently from one another and are unequal in value. Here, 6 is the quota and 4, 2, and 1 are the players making up the coalition. These four numbers can be represented by calling them. P1, p2, p3 and p4: you must now determine which combination of these four players, will make up a. A winning coalition, is when you can add up the players and the sum is either equal to, or greater than, the given quota (in this case that is 6). Possible winning coalitions: {p1,p2} {p1,p2,p3} {p1,p2,p3,p4} {p2,p3,p4} {p1,p3} {p1,p2,p4} and {p1,p3,p4: of these winning coalitions you have found, you must now determine which of the players in each coalition are critical .