论文标题

通过改变选民的看法来操纵选举

Manipulating Elections by Changing Voter Perceptions

论文作者

Wu, Junlin, Estornell, Andrew, Kong, Lecheng, Vorobeychik, Yevgeniy

论文摘要

选举的完整性对于民主制度至关重要。但是,无数的恶意演员渴望影响大选的财务或政治利益。这种目的的一种常见手段是通过操纵对投票公众对某些候选人的看法,例如通过错误信息。我们提出了一种正式的模型,即在空间投票理论框架内,感知操纵对选举结果的影响,其中,选民对候选人的偏好是根据他们在问题空间中的相对距离产生的。我们表明,无论问题是二进制还是真实价值,该模型中的控制选举通常都是NP-HARD。但是,我们证明至关重要的是对投票公众所表现出的问题的意见多样性。当选民认为缺乏多样性时,我们可以将它们分为少数类别(例如,由于政治两极分化的结果),选举控制问题可以在多项式时间内解决问题的数量和候选人的任意评分规则。

The integrity of elections is central to democratic systems. However, a myriad of malicious actors aspire to influence election outcomes for financial or political benefit. A common means to such ends is by manipulating perceptions of the voting public about select candidates, for example, through misinformation. We present a formal model of the impact of perception manipulation on election outcomes in the framework of spatial voting theory, in which the preferences of voters over candidates are generated based on their relative distance in the space of issues. We show that controlling elections in this model is, in general, NP-hard, whether issues are binary or real-valued. However, we demonstrate that critical to intractability is the diversity of opinions on issues exhibited by the voting public. When voter views lack diversity, and we can instead group them into a small number of categories -- for example, as a result of political polarization -- the election control problem can be solved in polynomial time in the number of issues and candidates for arbitrary scoring rules.

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