Ostensibly we can vote to make them behave however we want domestically, as long as our government isn't captured. But even ignoring regulatory capture, multinationals are hard to hold to account by any single government. I've seen people saying that where we went wrong was letting any economic entity get bigger than the [democratic] government regulating it. However, that admission (true or not) doesn't present us with any obvious solution.
Yeah, I often see this as a challenge that most governments are based on physical space, and don't seem to know how to regulate digital space. For example, typing on this thread, I could be interacting with all people from the US like me, or people from maybe 20 different countries, all with different geographical law. Yet, we're all in this same digital space at the same time.
I'm curious how governance (not just government, but even governance of orgs and other platforms) adapts to a world that more and more abstracts away physical space.