The first is the bill gates "income tax for robots" idea which does a kind of hand wavey thing figuring out how to calculate a robot, how the government will distribute taxes, etc. That one is a mess impossible to get support for and nearly impossible to transition to.
The other idea, put forth by the Democracy in Europe 2025 party, is called a universal basic dividend, which essentially says that to make AI owned by humanity, the utility of automation should be calculated, and as a result, a dividend will be paid out (just like any other stock holder) which is a percent of that company's profit derived from automation. It becomes part of the corporate structure, rather than a government structure, so this one I think kinda has merit on paper, but likewise zero motivation to implement until it's virtually too late