整数计分投票方法下全排序概率问题研究  

Research on Probability of Full Ranking With Integer-Scoring Voting Rule

作　　者：周永春[1] 梁樑[1] 

机构地区：[1]中国科学技术大学管理学院,安徽合肥230026

出　　处：《数学的实践与认识》2007年第13期167-172,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(70371023);教育部博士点基金(20030358052)

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.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 he designed and adjusted. Some conciusions are drawn.

关 键 词：Borda法 整数计分投票方法 全排序概率 

分 类 号：O211[理学—概率论与数理统计]