In places like Athens where occasionally people would over throw the democracy and implement an oligarchy, how did that work? Were only the rich people allowed to vote or was it just a certain group of people allowed to vote (ie the people with all the weapons, meaning that there might be rich people excluded)? If one person was super duper rich, did his vote count 2x or 3x as much as just a regular rich person?
When democracy got re-instated, did all the poor people just immediately massacre the rich people and steal all their stuff or was it seen more just like the "oligarch" party came to power and then the "democracy" party came to power and more of a natural "this is normal" type thing? I saw that oligarch was implemented many times and sporadically throughout so it might not have been that abnormal.
You might be interested in some previous threads on forms of state in Ancient Greece.
Our u/Iphikrates has here, here and especially here described Athenian democracy in detail, how it developed over time and how/if it differed from other systems. He notes that oligarchies could have property requirements to vote and typically chose magistrates by election rather than lot.
This threadby u/Daeres and this one by u/XenophonTheAthenian might also be relevant