基于位置权重约束的投票共识建模研究任务书

 2021-08-19 11:08

1. 毕业设计(论文)主要目标:

在某些带有集权式的民主投票中,投票的最终结果不仅受到选民意见的影响,还受到协调者意见的影响。文章希望构建带有协调者意见的群体共识投票优化模型。该模型以候选人加权得分与协调者期望得分的最小差异为目标函数,不仅尊重投票人的利益,还考虑协调者的意见对投票结果的效用。

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2. 毕业设计(论文)主要内容:

文章构建了带有协调者意见的群体共识投票优化模型:以位置的权重为约束,以协调者的期望得分与候选者投票加权得分的最小差异为目标函数。文章通过原始-对偶规划原理,探讨了投票共识优化模型中各参数的经济学解释。研究表明:协调者意见的最优价值等价于其与候选人得分的偏差效用之和,且是以实现最投票人的票数佳分配为前提;当某个候选人得票加权值与协调者期望得分相等时,该获选人的得票具有平衡投票系统的作用。文章侧重研究存在集权者的复杂投票选举问题,是COOK DEA投票模型的一个推广。

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3. 主要参考文献

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