Results for Example 1’s eight-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.本论文提出了一种基于比例代表制（proportional representation）的新型选举制度——分配式投票（apportioned voting），因其选票需在候选人之间分配而得名。分配式投票可被视为累积投票制（cumulative voting）与单一可转移投票制（single transferable vote，又称比例排序投票制（proportional ranked-choice voting））的增强型通用混合变体。该选举制度可高效适配选民数量、待选职位与候选人数均较多的政府及企业选举场景。本论文详细阐述了分配式投票的具体规则，提供了该选举制度选举表现的示范性案例，并附带了用于实现分配式投票、计算案例结果的Octave脚本。