Recall cumulative voting from the cardinal voting module, it is a voting method in which voters submit fractional ballots where they split one voting among the candidates any way they like. The candidate who gets the largest sum wins.

◦ A gets (3 · 7/8) + (1/2) + (1/7) + (9/10) = 4.17

◦ B gets (5 · 2/3) + (3 · 1/8) + (3/7) + (1/10) = 4.24

◦ C gets (5 · 1/3) + (2 · 1) + (1/2) + (3/7) = 4.60

So C wins the election.

• Discrete cumulative voting is a variation of cumulative voting in which each voter gets as many votes as there are seats to be elected. If six representatives are to be elected, then the voters are each given six votes, which they can distribute any way they want. In other words, voters are essentially given one full vote that they can split into six equal parts that they can distribute how they want.

• This variation of cumulative voting is a little bit more constraining than the cumulative fractional ballot because only fractions with denominators of six (in our case) are possible.

  • Note: The way the fractions are divided does not relate to the number of desired winners in the election.