Top-Two Instant-Runoff Voting . Exercises 39 and 40 refer to a simple variation of the plurality-with-elimination method called top-two IRV. This method works for winner-only elections. In top-two IRV, instead of eliminating candidates one at a time, we eliminate all the candidates except the top two in the first round and transfer their votes to the two remaining candidates. Find the winner of the election given in Table 1-40 using the top-two IRV method. Table 1-40 Number of Voters 7 6 5 5 5 5 4 2 1 1 s t D C A C D E B A A 2 n d B A B A C A E B C 3 r d A E E B A D C D E 4 t h C B C D E B D E B 5 t h E D D E B C A C D
Top-Two Instant-Runoff Voting . Exercises 39 and 40 refer to a simple variation of the plurality-with-elimination method called top-two IRV. This method works for winner-only elections. In top-two IRV, instead of eliminating candidates one at a time, we eliminate all the candidates except the top two in the first round and transfer their votes to the two remaining candidates. Find the winner of the election given in Table 1-40 using the top-two IRV method. Table 1-40 Number of Voters 7 6 5 5 5 5 4 2 1 1 s t D C A C D E B A A 2 n d B A B A C A E B C 3 r d A E E B A D C D E 4 t h C B C D E B D E B 5 t h E D D E B C A C D
Top-Two Instant-Runoff Voting. Exercises 39 and 40 refer to a simple variation of the plurality-with-elimination method called top-two IRV. This method works for winner-only elections. In top-two IRV, instead of eliminating candidates one at a time, we eliminate all the candidates except the top two in the first round and transfer their votes to the two remaining candidates.
Find the winner of the election given in Table 1-40 using the top-two IRV method.
Use the preferential voting method to determine the winner and compare it to the single candidate voting or plurality method. Who wins the
preferential vote and the single candidate vote?
There are 2000 voters and the candidates need 1001 to win. There are
candidates for the house of representatives and you have to rank
them by preference.
Votes
1st
2nd
3rd
4th
630
Mary
Jazmine
Marcos
Henry
600
Jazmine
Marcos
Henry
Mary
400
Henry
Marcos
Jazmine
Mary
370
Marcos
Jazmine
Henry
Mary
a
Preferential: Henry wins with 770, Plurality: Mary wins with 630
Preferential: Jazmine wins with 1370, Plurality: Mary wins with 700
Preferential: Jazmine wins with 970, Plurality: Mary wins with 630
d
Preferential: Jazmine wins with 1370, Plurality: Mary wins with 630
O O O O
Use the preferential voting method to determine the winner and compare it to the single candidate voting or plurality method. Who wins the
preferential vote and the single candidate vote?
There are 2000 voters and the candidates need 1001 to win. There are 4 candidates for the house of representatives and you have to rank
them by preference.
Votes
1st
2nd
3rd
4th
630
Mary
Jazmine
Marcos
Henry
600
Jazmine
Marcos
Henry
Mary
400
Henry
Marcos
Jazmine
Mary
370
Marcos
Jazmine
Henry
Mary
a. Preferential: Henry wins with 770, Plurality: Mary wins with 630
b. Preferential: Jazmine wins with 1370, Plurality: Mary wins with 700
c. Preferential: Jazmine wins with 970, Plurality: Mary wins with 630
d. Preferential: Jazmine wins with 1370, Plurality: Mary wins with 630
Use the plurality with elimination method to determine the winner and compare it to the plurality method. Who wins the preferential vote and
the single candidate vote? There are 74 voters and the candidates need 37 votes to win. There are 5 candidates for the house of
representatives and you have to rank them by preference.
Votes
20
16
12
15
11
1st
Emilio
Howard
Richard
Melissa
Hannah
2nd
Howard
Melissa
Hannah
Hannah
Emilio
3rd
Melissa
Emilio
Melissa
Richard
Richard
4th
Hannah
Richard
Emilio
Howard
Howard
5th
Richard Hannah Howard Emilio
Melissa
a
Plurality with elimination: Richard wins with 43, Plurality: Emilio wins with 20
Plurality with elimination: Melissa wins with 43, Plurality: Emilio wins with 20
Plurality with elimination: Hannah wins with 43, Plurality: Emilio wins with 20
d.
Plurality with elimination: Emilio wins with 37, Plurality: Emilio wins with 20
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