Abstract: The importance of competition to the viability of the organization has been highlighted in Red Queen theory，which puts the organization analysis into the view of the whole organization environment instead of focusing on the single one. The theory supposes that the relationship between the organizations affect the viability of the members. As soon as the low carbon economy is coming to China，the theory warns us that if we ignore the new competition logic in low carbon economy，the old competition capability may become as a negative force to reduce the viability of the organization. As well，if the whole organization group could not be well prepared to face the new logic，the group will fall into competition trap and may not be eliminated at once，but may face a greater challenge from the outside competitors who fit the new logic well.