That kind of government is called Democracy.
Democracy (from the late Latin democratĭa, and this from the Greek δημοκρατία dēmokratía) is a form of social organization that attributes the ownership of power to the whole of citizenship. Strictly speaking, democracy is a form of State organization in which collective decisions are adopted by the people through mechanisms of direct or indirect participation that confer legitimacy on their representatives. In a broad sense, democracy is a form of social coexistence in which members are free and equal and social relations are established according to contractual mechanisms.
