In some weighted voting systems, such as that of the electoral college, the total weights remain constant, but individual weights change from time to time based on certain criteria. In the electoral college, each state has a number of votes equal to its number of members in Congress. Although the numbers for the Senate remain fixed, the House of Representatives is subject to reapportionment based on the U.S. census. (Methods of apportionment are studied in Chapter 5.)
In the following pair of weighted voting systems, one unit has changed between the two voters P1 and P3. Calculate and compare the Banzhaf power indices for the voters in each system.
a. [11 | 8, 6, 4, 3]
b. [11 | 7, 6, 5, 3]
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