A "do-nothing policy" can be defined as a lack of action or initiative towards a particular issue. Some synonyms for this phrase include "inaction," "passivity," "indifference," "inertia," "apathy," and "neglect." These words all convey a sense of inactive or indifferent behavior towards a situation or problem. Other related terms include "laissez-faire," "noninterference," and "hands-off" which imply a lack of intervention or involvement from an authority figure. However, it's important to note that these synonyms may not always accurately portray the nuances of a particular situation or the reasons behind a lack of action.