Suppose that each state gets 1 electoral vote for every 10,000 people, plus an a
ID: 3111361 • Letter: S
Question
Suppose that each state gets 1 electoral vote for every 10,000 people, plus an additional 2 votes. Set up a weighted voting system for this scenario, calculate the Banzhaf power index for each state, and then calculate the winner if each state awards all their electoral votes to the winner of the election in their state. Use this information to answer questions 5, 6, and 7.
Q) For the weighted voting system for this second scenario, enter values for each of the following:
q=
w1 =
w2 =
w3 =
w4 =
Q) The Banzhaf power index for each state is (enter as a simplified fraction):
Smalota:
Medigan:
Bigonia:
Hugodo:
In the U.S., the Electoral College is used in presidential elections. Each state is awarded a number of electors equal to the number of representatives (based on population) and senators (2 per state) they have in congress. Since most states award the winner of the popular vote in their state all their state's electoral votes, the Electoral college acts as a weighted voting system. To explore how the Electoral College works, we'll look at a mini-country with only 4 states. here is the outcome of a hypothetical election: StateSmalota Medigan Bigonia Hugodo Population 50,000 70,000 100,000 240,000 Votes for A 40,000 50,000 80,000 50,000 Votes for B 10,000 20,000 20,000 190,000Explanation / Answer
Total votes for A : 40,000+50,000 + 80,000 + 50,000 = 220,000
Total votes for B : 10,000 + 20,000 + 20,000 + 190,000 = 240,000
Electoral votes for A : 22
Electoral votes for B : 24
Number of states A won = 3
Additional electoral Votes for A = 3 x 2 = 6
Total votes for A = 22 + 6 = 28
Number of states B won = 1
Additional Votes for B = 1 x 2 = 2
Total votes for B = 24 + 2 = 26
The Winner is A and he will recieve 28 electoral votes by winning 3 states
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