Why Use a Proportional Voting Method?
Using a proportional voting method enables sizable communities-of-interest to elect candidates who better represent their view, in proportion to their size -- even if the community-of-interest is not a majority or plurality of the electorate.
When electing members of a multi-member body (such as a legislature or city council), changing from single-winner district elections to multi-winner at-large elections can eliminate or drastically reduce gerrymandering and the number of uncompetitive elections.
Plurality Block voting, as is used to elect the city councils of Boulder and Lafayette, runs the risk of only electing like-minded candidates from the faction with the most support, leaving large swaths of the electorate unrepresented.
The pie chart demonstrates that a proportionally represented council would reflect the voter-expressed preferences.
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Proportional Representation!