Allocated Score

Allocation is the default method of removing voters in a sequential Multi-Member System. Allocated Score is a specific sequential Multi-Member System built on Score voting ballots. Each winner is selected as the Utilitarian winner (ie highest sum of score). After each selection, the Hare quota of ballots which scored that candidate the highest is allocated to this candidate and as such removed from subsequent rounds.

Definition

1. Select the candidate with the highest sum of score as this rounds winner
2. Set the ballot weight to zero for the voters that contribute to that candidate's hare quota score.
   • If there are several voters have given the winner the same score at the cusp of the Hare Quota then Fractional Surplus Handling is applied to those voters
3. Repeat this process until all the seats are filled.

Fractional Surplus Handling to break ties: when calculating which ballots belong to a candidate's quota so they should be allocated to them, if for a particular score, including voters that gave that candidate that score in the quota would make the quota to large and excluding it would make it to small, then exhaust a portion of those vote's ballot weights such that the total weight of the exhausted ballots still equals the hare quota. The reason why Fractional Surplus Handling is preferred is that it preserves the Independence of irrelevant alternatives and Monotonicity criteria.

Variants

A common variant is to use Droop quotas instead of Hare quotas to mitigate Free riding. Sequential Monroe can be thought of as a variant of Allocated Score with a change to the selection method.