随机偏好下的Borda悖论

发布时间：2018-04-21 13:03

本文选题：Borda悖论 + 随机偏好　；参考：《系统工程学报》2016年02期

【摘要】：在阐明二元随机偏好所存在缺陷的基础上,提出了一种更具普适性的随机偏好表示方法一概率分布型随机偏好,并论证了这种表示方法的完备性(即该方法可以表示所有可取的随机偏好).然后基于概率分布型随机偏好,将Borda悖论涉及的两种投票规则推广为随机情况,分析随机偏好下Borda悖论的发生规律,并进一步从权值向量和投票人数两方面比较所得结论与确定性偏好下Borda悖论的异同,分析出现差异的原因.
[Abstract]:On the basis of expounding the defects of binary random preference, a more universal representation method of random preference, probabilistic random preference, is proposed. The completeness of this representation method is proved (that is, this method can represent all desirable random preferences). Then, based on probabilistic random preference, the two voting rules involved in Borda paradox are generalized to random cases, and the occurrence law of Borda paradox under random preference is analyzed. Furthermore, the differences between the conclusions and the Borda paradox under deterministic preference are compared from the weight vector and the number of voters, and the reasons for the differences are analyzed.
【作者单位】：华中科技大学系统工程研究所;江苏省邮电规划设计院有限责任公司;国家知识产权局专利局专利审查协作江苏中心;
【基金】：国家自然科学基金资助项目(61273206;71071063)
【分类号】：C934

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