A Voting Statistical Method of Group Decision

Two sharp questions are raised from voting paradox: first, the voting result is self-contradictory, and second, the voting result is cyclic. In order to have a more clear analysis of voting paradox, this thesis draws a generating mechanism of the paradox. The voting paradox mechanism figure was depicted and majority rule was revealed to be the cause of the voting paradox by analyzing its reasoning process. Based on this analysis and our NMU proposed model, the voting paradox model was set up and found that three alternative plans had an average poll. Statistical result showed an equal consequence with no plan gaining the upper hand. The non-existence of paradoxical voting cycle proved that "voting paradox" is not paradoxical. Under the ordinal condition, a statistical method to model design, with the basis that social preference order was derived from individual preference order was explored. Applying the VPM method in the statistics of group motives of interrelated elements involved in the withdrawal rate can help enterprises sort out and rank relevant problems in order, guide the enterprises to first solve the major problem with advantageous resources and therefore decrease the turnover rate.