论文标题
累积投票的位置加权聚合方法
Positionality-Weighted Aggregation Methods for Cumulative Voting
论文作者
论文摘要
尊重少数民族意见对于解决社会问题至关重要。但是,在一般多数规则中,通常会忽略少数族裔意见。为了建立对多元化价值观的共识并做出考虑少数派观点的社会选择,我们提出了汇总方法,以使少数族裔对基本累积投票的地位进行权重。基于二次和线性投票,我们制定了三种加权聚合方法,这些方法在投票与累积点的比率和少数群体与所有成员的权重的比率上有所不同,并且假设投票的分布遵循正常分布,我们计算了聚合结果的频率分布。我们发现,少数族裔意见更有可能与以上三种方法中的两种分布的平均值相称。这意味着,森和戈托考虑了不幸的人在福利经济学中的序数中的社会地位的想法,这是通过加权少数群体在红衣主教投票中的地位来说明的。另外,可以通过对聚合结果的分析可视化少数群体的数量和位置。这些结果将有助于通过在共识构建过程中互动地可视化所提出的聚合方法的内容来促进多数和少数群体之间的相互理解。随着信息技术的进一步发展,必须基于大数据建立共识。我们建议使用我们提出的聚合方法为社会,环境和经济等多元化价值观做出社会选择。
Respecting minority opinions is vital in solving social problems. However, minority opinions are often ignored in general majority rules. To build consensus on pluralistic values and make social choices that consider minority opinions, we propose aggregation methods that give weighting to the minority's positionality on cardinal cumulative voting. Based on quadratic and linear voting, we formulated three weighted aggregation methods that differ in the ratio of votes to cumulative points and the weighting of the minority to all members, and assuming that the distributions of votes follow normal distributions, we calculated the frequency distributions of the aggregation results. We found that minority opinions are more likely to be reflected proportionately to the average of the distribution in two of the above three methods. This implies that Sen and Gotoh's idea of considering the social position of unfortunate people on ordinal ranking in the welfare economics, was illustrated by weighting the minority's positionality on cardinal voting. In addition, it is possible to visualize the number and positionality of the minority from the analysis of the aggregation results. These results will be useful to promote mutual understanding between the majority and minority by interactively visualizing the contents of the proposed aggregation methods in the consensus-building process. With the further development of information technology, the consensus building based on big data will be necessary. We recommend the use of our proposed aggregation methods to make social choices for pluralistic values such as social, environmental, and economic.