| 整数计分投票方法下全排序概率问题研究 |
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| 引用本文： | 周永春,梁樑.整数计分投票方法下全排序概率问题研究[J].数学的实践与认识,2007,37(13):167-172. |
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| 作者姓名： | 周永春 梁樑 |
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| 作者单位： | 中国科学技术大学,管理学院,安徽,合肥,230026 |
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| 基金项目： | 国家自然科学基金;高等学校博士学科点专项科研项目 |
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| 摘 要： | 讨论了在与Borda投票规则相似的整数计分投票方法中,投票结果使备选方案集产生全排序(任意两个备选方案的总分值不同)的概率P的问题.给出了在一定假设条件下计算P值的相关公式;通过分析运行计算机程序得到的数据,讨论了P值关于整数计分投票问题的三个变量的单调性性质;最后根据P值函数的单调性性质,指出应如何设计和调整整数计分投票规则.
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| 关 键 词： | Borda法 整数计分投票方法 全排序概率 |
| 修稿时间： | 2006年12月20 |
Research on Probability of Full Ranking With Integer-Scoring Voting Rule |
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| ZHOU Yong-chun,LIANG Liang.Research on Probability of Full Ranking With Integer-Scoring Voting Rule[J].Mathematics in Practice and Theory,2007,37(13):167-172. |
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| Authors: | ZHOU Yong-chun LIANG Liang |
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| Abstract: | We focus on the probability P of full ranking(any 2 alternatives don't receive a same total score) with integer-scoring voting rule,which is similar to Borda count.We bring forth formulas that compute P under certain assumptions.Computer programs are designed and used to compute the values of P.With the data obtained,we discussed how the three variants of an integer-scoring voting rule influence the values of P,and how an integer-scoring voting rule should be designed and adjusted. Some conclusions are drawn. |
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| Keywords: | borda count integer-scoring voting rule probability of full ranking |
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