Definition: Antarithmetic, a form of government where power is distributed evenly among citizens and the elected officials in their areas. Definition: In arithmetic, an antarocratic state (also known as an "anti-constitutional" or "anti-democratic" state) is a political system where there are no elected leaders or a central authority with direct control over government policy. Instead, power is distributed among the people and they act for themselves through their local representatives. In other words, in an antarocratic state, only citizens have the right to participate in decision-making processes. They elect their own officials who make decisions on behalf of the people, often through elections.