Which kind of government was most heavily influenced by the Athenian system?

A representative democracy is the type of government that was most heavily influenced by the Athenian system. The difference being that only free Athenian men were represented.

At the time, the other city-states were unlikely to follow Athens' lead unless they were members of the Delian League headed by Athens. These city-states had been turned into an empire of Athens and were under pressure to follow the democratic way.

Modern democracies differ from the Athenian direct democracy model, which was only practicable in a community where citizens could walk into the city for the fortnightly meetings. The large size of countries today preclude this, so a representative democracy model s used, where parliamentarians do the decision-making with little reference to the wishes of the electors, which is quite different from the citizens themselves making the decisions in Athens.