Abstract: Adopting Most Advantageous Tender (MAT) for the
government procurement projects has become popular in Taiwan. As
time pass by, the problems of MAT has appeared gradually. People
condemn two points that are the result might be manipulated by a
single committee member’s partiality and how to make a fair decision
when the winner has two or more. Arrow’s Impossibility Theorem
proposed that the best scoring method should meet the four reasonable
criteria. According to these four criteria this paper constructed an
“Illegitimate Scores Checking Scheme” for a scoring method and used
the scheme to find out the illegitimate of the current evaluation method
of MAT. This paper also proposed a new scoring method that is called
the “Standardizing Overall Evaluated Score Method”. This method
makes each committee member’s influence tend to be identical. Thus,
the committee members can scoring freely according to their partiality
without losing the fairness. Finally, it was examined by a large-scale
simulation, and the experiment revealed that the it improved the
problem of dictatorship and perfectly avoided the situation of cyclical
majorities, simultaneously. This result verified that the Standardizing
Overall Evaluated Score Method is better than any current evaluation
method of MAT.