arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2204.13610cs.SIcs.MAcs.SYeess.SY
收藏

社会影响力如何影响影响网络中人群的智慧

How social influence affects the wisdom of crowds in influence networks

Ye Tian, Long Wang, Francesco Bullo

摘要:

社会影响力是提高群体的集体智慧还是削弱群体的集体智慧是一个长期存在的争论,本文基于影响力系统理论中的一个朴素学习设置来解决这个问题:在我们的模型中,个体根据加权平均意见动态来进化他们对未知事实的估计。通过严格的理论分析,给出了一种形式化的证明。我们得到各种条件,提高,优化和破坏人群的准确性,分别。我们证明了,如果有限规模群体的智慧得到提高,那么集体估计随着群体规模的增加而收敛于真值,前提是个体的方差是有限的。我们发现,社会影响力是提高还是削弱智慧取决于影响力系统的社会权力分配:如果影响力系统将相对较大的社会权力分配给相对较准确的个体,则会提高智慧;相反,如果影响力系统将较少的社会权力分配给较准确的个体,则会削弱智慧。在人口水平上,个人对人际影响和网络中心的敏感性都至关重要。为了提高智慧,更准确的个人应该更不易受影响,并具有更大的网络中心。特别是,在民主影响网络中,如果相对更准确的个体相对不那么容易受到影响,那么智慧就会提高;如果更准确的个体更容易受到影响,那么智慧就会被破坏,这与报告的经验证据是一致的。我们的研究为理解社会影响力在集体智慧的形成中所起的作用提供了一个理论框架。

英文摘要:

A long-standing debate is whether social influence improves the collective wisdom of a crowd or undermines it. This paper addresses this question based on a naive learning setting in influence systems theory: in our models individuals evolve their estimates of an unknown truth according to the weighted-average opinion dynamics. A formal mathematization is provided with rigorous theoretical analysis. We obtain various conditions for improving, optimizing and undermining the crowd accuracy, respectively. We prove that if the wisdom of finite-size group is improved, then the collective estimate converges to the truth as group size increases, provided individuals' variances are finite. We show that whether social influence improves or undermines the wisdom is determined by the social power allocation of the influence system: if the influence system allocates relatively larger social power to relatively more accurate individuals, it improves the wisdom; on the contrary, if the influence system assigns less social power to more accurate individuals, it undermines the wisdom. At a population level, individuals' susceptibilities to interpersonal influence and network centralities are both crucial. To improve the wisdom, more accurate individuals should be less susceptible and have larger network centralities. Particularly, in democratic influence networks, if relatively more accurate individuals are relatively less susceptible, the wisdom is improved; if more accurate individuals are more susceptible, the wisdom is undermined, which is consistent with the reported empirical evidence. Our investigation provides a theoretical framework for understanding the role social influence plays in the emergence of collective wisdom.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑