Sequential Pairwise Voting
Dilemma
Suppose
we have 3 voters and 4 alternatives (candidates) and suppose the sequence of
preference list is as follows:
|
|
Number of voters (3) |
||
|
Rank |
1 |
1 |
1 |
|
First |
A |
C |
B |
|
Second |
B |
A |
D |
|
Third |
D |
B |
C |
|
Fourth |
C |
D |
A |
Show that
if the voting system being used is sequential pairwise voting with a fixed
agenda, and if you have agenda-setting power (ie you get to choose the order),
then you can arrange for whichever alternative you want to win the election. (In other words, create four agendas:
one in which A wins, an agenda in which B wins, C wins, and D wins.)