The tragedy of the commons is sold as the idea that common property is over used, and thus arguments are made that there should be regulations over the commons, or it should be owned privately, ostensibly since a private owner would take better care of it (though this depends on if it's part of subsistence living or used for extraction of resources, to then just buy more). Any theory has to explain actual evidence though. So people who share more in common should be overusing resources more than those who privatize more. But I haven't seen this ever being the case.
The misconception comes from people imposing their ideas of private ownership as a given. If you have people letting their cows overgraze common land, then economists argue the issue is with the common land, not with the private ownership of the cows, i.e. everyone trying to increase their own livestock. So the tragedy is really private ownership. Everyone is forced to increase their own quantity, or else someone else will and corner the market. Humans needs have limits, private ownership doesn't, when imposed as the rule.
But are there instances where common ownership is actually to blame? I'm not talking about like people making animals extinct because they are new to the area and easy to hunt. I'm talking about the reason for overuse being specifically due to common ownership in the society, as the tragedy shows with private ownership.
I'm asking about societies with different levels of sharing. Whereas usually overuse of resources follows societies based on less sharing, are there cases where societies based on more sharing overuse resources more than those with less sharing? Is there any actual credence to a tragedy of the commons?
Examples of the fallacy can be described in the wiki page itself, they can generally be described as tragedy of private ownership. But if there is any real evidence, it would be good to hear.
One could argue that the tragedy of the commons means tragedy of the commons in a society with private ownership, but that would means it's misleading at best.