On the Distortion Value of the Elections with Abstention

On the Distortion Value of the Elections with Abstention
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论弃权选举的扭曲价值

DOI:
10.1609/aaai.v33i01.33011981
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发表时间:
2018
期刊:
ArXiv
影响因子:
--
通讯作者:
Masoud Seddighin
Masoud Seddighin
中科院分区:
--
文献类型:
--
作者:
M. Ghodsi;M. Latifian;Masoud Seddighin

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在空间投票理论中,失真是衡量赢家有多好的一个指标。它被证明,没有确定性的投票机制可以保证失真优于3,即使是简单的指标,如一行。在这项研究中,我们希望回答以下问题:如何扭曲值的变化,如果我们允许动机较低的代理人放弃选举?我们考虑了一个有两个候选人的选举,并提出了一个投票模型,这是Kirchgässner(2003)提出的投票模型的更一般形式。在模型中,我们定义了期望赢家和期望失真度的概念来评估选举的失真度。我们的研究结果充分表征失真值,并提供了一个相当完整的图片的模型。
In Spatial Voting Theory, distortion is a measure of how good the winner is. It is proved that no deterministic voting mechanism can guarantee a distortion better than 3, even for simple metrics such as a line. In this study, we wish to answer the following question: how does the distortion value change if we allow less motivated agents to abstain from the election?We consider an election with two candidates and suggest an abstention model, which is a more general form of the abstention model proposed by Kirchgässner (2003). We define the¨ concepts of the expected winner and the expected distortion to evaluate the distortion of an election in our model. Our results fully characterize the distortion value and provide a rather complete picture of the model.
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影响因子: --
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