With the coming of voting day of the presidential election, the campaigning strategies of the candidates have drawn a lot of attention. Above all, the interactions between Lien Chan and James Soong are particularly interesting. Lien is the current vice president. Soong, the former Governor and is not favored by president Lee. It will be very hopeful to win the election if they could cooperate. Why is the coalition failed to be formed? The article analyzes the interactions between the two from the game theory perspective, which discusses the decision-making under the conflicting situation. The article takes the day when Soong declared to run the presidency as a watershed to discuss the order and final decision of two sides' inter-strategy, and why they can't cooperate and search win-win strategy at last.