This is going to sound strange, considering how much of modern politics already comes from Athens, but there's one thing we didn't pick up which I think we should have: a fun little system called ostracism.
This is Aristeides son of Lysimachus. He lost this vote. There's a famous story about his ostracism. Aristeides was known as the most honest and fair man in Athens. Rare qualities in Athenian politics. Everyone called him Aristeides the Just. When the ostracism was held, Aristeides came across an illiterate farmer who'd come to town to cast his vote. The poor farmer couldn't write, so Aristeides offered to help and asked who he wanted to nominate. The farmer, not recognising to whom he spoke, said he wanted to ostracize Aristeides son of Lysimachus. Taken aback, Aristeides asked the farmer, what had Aristeides ever done to him? The farmer replied, "Nothing. But I'm sick of all this talk of Aristeides the Just this, and Aristeides the Just that." So Aristeides meekly wrote his own name and dropped it into the urn. Ten days later, he left town.
Ostracism was a method to toss annoying people out of the city for ten years. After that they were allowed back, but if they set foot in Attica during their period of exile, then the penalty was death.
The top word is Pericles. The bottom is a variant spelling of Xanthippus: Tsan(th)ippo. This is a vote to ostracize Pericles son of Xanthippus. But he survived.
It worked like this. There was a council of 500 citizens, called the Boule, which was an executive administration. Membership of the Boule swapped 10 times every year, so everyone eventually got a turn. Each year during the 6th of those administrations, the council would vote on whether an ostracism should be held. There was no particular victim in mind at this point. In theory, that is. I'm quite sure everyone who voted had an enemy they'd like to see go.
The vote usually failed, but if it passed, then it guaranteed someone was about to be exiled, but no one knew yet who was going.
Two months later, the entire populace then voted to select the victim. Everyone wrote down the name of the person they'd like to see go on a piece of broken pottery. Pottery shards were called ostrakons, from which we get the word ostracism. Ostrakons were the voting slips of the ancient world. You simply scratched the name of your preferred victim into the pottery shard and dropped it into one of the voting urns. As long as there were at least 6,000 votes, the "winner" was given ten days to get out of town, or die.
This might sound bad, but a lot of high profile Athenian politicians took a hit on this. Even the father of Pericles, Xanthippus, got tossed at one point. He was recalled early though, because luckily for him the Persians invaded and the Athenians needed him back. Possibly the most remarkable thing about Pericles is that he managed to avoid being ostracized, unlike many of his friends and enemies.
A zillion of these ostrakons have been discovered because, when your voting slips are solid ceramic, the only thing they're good for after use is landfill. Here are some from Wikimedia:
The top word is Pericles. The bottom is a variant spelling of Xanthippus: Tsan(th)ippo. This is a vote to ostracize Pericles son of Xanthippus. But he survived.
This is Aristeides son of Lysimachus. He lost this vote. There's a famous story about his ostracism. Aristeides was known as the most honest and fair man in Athens. Rare qualities in Athenian politics. Everyone called him Aristeides the Just. When the ostracism was held, Aristeides came across an illiterate farmer who'd come to town to cast his vote. The poor farmer couldn't write, so Aristeides offered to help and asked who he wanted to nominate. The farmer, not recognising to whom he spoke, said he wanted to ostracize Aristeides son of Lysimachus. Taken aback, Aristeides asked the farmer, what had Aristeides ever done to him? The farmer replied, "Nothing. But I'm sick of all this talk of Aristeides the Just this, and Aristeides the Just that." So Aristeides meekly wrote his own name and dropped it into the urn. Ten days later, he left town.
Kimon son of Miltiades. Miltiades was the General who led the Athenians at Marathon, and his son Kimon likewise was a great military man. Kimon was also a super-conservative and the arch-enemy of Pericles. It was Pericles who engineered Kimon into being exiled. Kimon had blocked the democracy, and the moment he was out the city gates, Pericles' friend Ephialtes introduced the democratic reforms. A few days after that, Ephialtes was murdered. and The Pericles Commission begins. This vote was cast within a few days of the opening scene of my first book!