Results for Example 1’s nine-vote election.

The paper introduces a new electoral system, based on proportional representation, called apportioned voting because each vote is apportioned among the candidates. Apportioned voting can be thought of as an enhanced and generalized hybrid of cumulative voting and single transferable vote (also known as proportional ranked-choice voting). Apportioned voting can efficiently handle government and corporate elections with large numbers of voters, positions to fill, and candidates. The paper provides a detailed description of apportioned voting, illustrative examples of apportioned voting’s election performance, and the Octave scripts used to implement apportioned voting and compute the example results.