A significant research topic in the area of computational social choice is the complication of different kinds of dishonest behaviour like manipulation, dominance and bribery. Whereas most of the work on this issue assumes that the opposite party has incomplete knowledge regarding every agent, they did not know the true preferences of other voters. We have analysed the dynamics of voting rules with the help of some manipulative and non-manipulative moves. Voters have incomplete information. The voters are aware of the winner at every stage and they make short term rational decisions. The number of candidates and voters are small, and the decisions need to be made quickly. We want the better reply as low as possible while keeping the best reply as high as possible. The voting rules we have used are Plurality rule and Borda rule. We have analysed the dynamics for these two voting rules for small number of voters and candidates.

中文翻译：

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少数候选人投票制度的动力分析

在计算社会选择领域中，一个重要的研究主题是各种不诚实行为的复杂化，例如操纵，支配和贿赂。尽管在此问题上的大多数工作都是假设对方对每个代理人都不完全了解，但他们并不知道其他选民的真正偏好。我们已经通过一些操纵性和非操纵性动作分析了投票规则的动态。选民的信息不完整。选民们在每个阶段都知道获胜者，他们会做出短期合理的决定。候选人和选民人数很少，因此需要迅速做出决定。我们希望更好的答复尽可能低，同时保持最好的答复尽可能高。我们使用的投票规则是复数规则和Borda规则。