From Wikipedia:
In civics, minarchism, sometimes called minimal statism, or small government, is the belief that the size, role and influence of government should be limited. They believe that a state is necessary, but should be minimal enough to protect the liberty and property of each individual. They generally believe in a night watchman state, limited to courts, roads, defense, prisons and taxes.
The term was coined in 1970 or 1971 by Samuel Edward Konkin III, an agorist.[1][2] Many minarchists consider themselves also as libertarians. The term is perhaps most often used to differentiate libertarians who believe a state is necessary to maximize individual liberty, from the market anarchists who believe that the state itself should be opposed because it infringes on individual liberty.