Final answer:
Daoism is the tradition from the Hundred Schools of Thought that encouraged the principle of 'nonaction' or 'wuwei' in governance.
Step-by-step explanation:
The Chinese tradition from the Hundred Schools of Thought that encouraged 'nonaction' as an important political concept was Daoism. This principle of nonaction, or wuwei, advises against unnecessary interference by those in power and suggests that the best governance follows a minimalist approach, aligning with the natural flow of the universe, or the dao. Daoist teachings are in stark contrast to Legalism, which emphasizes strict laws and governance through power, and Confucianism, which stresses moral order and societal hierarchy.