3.1 Preference schedule (profile)
The outcome of election can be represented as a detailed preference schedule (or profile):
First ballot | Second ballot | Third… | … | … | … | … | |
---|---|---|---|---|---|---|---|
Ballot | \(A \succ B \succ C\) | ABC | … | \(B \succ A \succ C\) | BAC | … |
\(A \succ B \succ C\) can be abbreviated just as \(ABC\); \(A \succ B\) stands for A is preferred over B. Also, \(A \sim B\) stands for A is indifferent to B.
Detailed preference profile is composed of personal (individual) voter preference rankings.
You can put all the ballot information in a table such as below, called the reduced preference schedule (profile) for the election.
Preference schedule (profile):
All possible rankings for 3 alternatives | ABC | ACB | BAC | BCA | CAB | CBA |
---|---|---|---|---|---|---|
No. of Votes | 5 | 0 | 2 | 1 | 0 | 4 |