There were alliances between them, which shifted according to circumstances. As the Persian threat emerged, they took sides, some with Persia, a couple of dozen led by Sparta, against Persia.
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It persuaded the Persians that the problems with the Greek city-states intervening within the empire needed serious solutions, and that it could be best resolved by incorporating them within the empire and appointing Persia-friendly tyrants to govern them.This led to the subversion of some states, and an invasion to subdue those whose leaders could not be bribed. The Greek cities responded differently - some accepted the bribes/threats and sided with Persia, others banded together to repel any takeover.In resisting, they were warned by the fate of Eretrea which had been captured before the Persians moved on to Athens, were lifted by Athens' success in defeating the Persian expeditionary force at Marathon, and so the southern Greek city-states knew Persia could be beaten and confidently banded together to defeat the Persian invasion ten years later.
three greek city states without colonies were Athens, Sparta, and Knossos
a greek city state is a polis The question was about the alliances of Greek city-states. Don't know the Greek translation, but in English they are referred to as leagues. the alliance between the greek city-states was called Delian League. (weazol)
Sparta was the Greek city-state that was most militaristic.
Agora.