Abstract:

From the perspective of social network, and considering the influence of viewpoint interaction among voters on voting behavior, in this paper, the ability of voters to influence other people’s behavior and decision-making based on social relations is defined as implicit power. Based on factors like knowledge level, individual influence, and self-confidence, the influence of viewpoint interaction among voters on voting results is analyzed, a measurement of implicit power under non-binary selection is proposed, and the impact of social network structure, individual influence, and knowledge level on the implicit power index is analyzed. Based on knowledge level, individual influence, and self-confidence, the perspective interaction between voters and its impact on voting results are analyzed. The analysis results show that the implicit power may be positive or negative. A more closely and broadly connected individual has more implicit power. The individual influence is positively correlated with the implicit power, except for the individuals with the highest or lowest influence. However, there is no clear correlation between the knowledge level and the implicit power. The method proposed is no longer limited to measuring voting power according to decision-making rules, but pays more attention to the influence of opinion interaction, which provides a new perspective for the identification of key voters.

Key words: power index, implicit power, social networks, view interaction, non-binary voting

摘要：

社会网络视角下，考虑投票者之间的观点交互对投票行为的影响，将投票者基于社会关系影响他人行为进而影响决策结果的能力定义为隐性权力，基于知识水平、个体影响力和自信度等因素分析投票者之间的观点交互及其对投票结果的影响，提出了非二元选择下隐性权力的测度方法，并分析了社会关系结构、个体影响力及知识水平对隐性权力指数的影响。结果表明：隐性权力有正、负之分，连接广泛且紧密的个体拥有更多的隐性权力；个体影响力与隐性权力正相关，但影响力最高或最低的个体除外；而知识水平与隐性权力之间不存在明确的相关关系。所提方法不再拘泥于根据决策规则测定投票权力，而是更加关注观点交互的影响，为关键投票者的识别提供了新视角。

关键词: 权力指数, 隐性权力, 社会网络, 观点交互, 非二元投票