Due to the special conditions of modern states, with their enormous geographical and demographic dimensions, their institutional complexity and the heterogeneity of citizen interests, it is impossible to materialize an ideal democracy in which “everyone can govern”. Therefore, we must opt to achieve another ideal of democracy: to design a system in which “anyone can govern”. Hence, a return to the classical origins of the Greek democratic experience is justified. This task begins with the introduction of randomness in the selection processes of legislators and governors. This measure would have immediate positive effects, such as correcting the perverse practices of the electoral system and guaranteeing the authentic representation of the interests of political minorities and other traditionally excluded sectors.