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