The relationship between the executive branch and the legislative branch is different among the parliamentary system, the presidential system, and the semi-presidential system, which will affect the appearance of majoritarian government. To conclude what system is most suitable for Taiwan, we not only need to see a system's efficiency in its operation on the government, but also need to consider Taiwan's specific situation and its political reality. Moreover, we find that no matter what it is, the parliamentary system or the presidential system, a majoritarian government or a minority (divided) government could exist. However, in France, despite it was presidential system or the semi-presidential system, the majoritarian government stands all the time. The major problem for Taiwan's existing political system is that the president cannot dissolve the Legislative Yuan by his own will. The relationship between the executive branch and Legislative branch would be in deadlock if the president insisted a minority government and the majority party in the Legislative Yuan had no intention to overthrow the cabinet. Under this system, the experiences in the past six years proved that the President would not appoint those who supported by the Legislative Yuan's majority party (coalition), and the majority party would also not overthrow the cabinet. Therefore, the interaction between the executive branch and the legislative branch is in deadlock all the time. According to our analyses, a divided government, which is worse than the existing minority government, might occur in the presidential system. If the constitution could be amended to construct the mechanism for forcible alternation between the presidential system and the semi-presidential system on one hand, and assure that the executive branch and the legislative branch would be controlled by the same party (coalition) on the other hand, the deadlock between the two sides could therefore be resolved.