Is each city-state in Ancient Greece ruled by a different archon?

Each Ancient-Greek city had a different ruler

Explanation:

The Archon was perhaps the chief administrator in several Greek settlements, however in Athens, there had been an Archons Council that exercised a kind of executive branch of government.

A framework of three continuous Archons developed in Greece, recognized as the Eponymous Archon, the Polemarch, and the Archon Basileus (these three are considered to be the three office holders).

According to the "Constitution of the Athenians" by Aristotle, the power of the king was first transferred to the archons, and by ten-year referendums, these departments were created from the nobility.

The Archon Eponymos was the chief administrator throughout this period, the Polemarch was the face of the military, and the Archon Basileus was accountable for the civic religious structures.