Businesses need consumers when those consumers are necessary to provide something in return (e.g. labor). If I want beef and only have grass, my grass business needs people with cattle wanting my grass so that we can trade grass for beef, certainly. But if technology can provide me beef (and anything else I desire) without involving any other people, I don't need a business anymore. Businesses is just a tool to facilitate trade. No need for trade, no need for business.
If AI can take all the jobs (IMO at least a decade away for the robotics, and that's a minimum not a best-guess), the economy hasn't been destroyed, it's just doing whatever mega-projects the owners (presumably in this case the Chinese government) want it to do.
That can be all the social stability stuff they want. Which may be anything from "none at all" to whatever the Chinese equivalent is of the American traditional family in a big detached house with a white picket fence, everyone going to the local church every Sunday, people supporting whichever sports teams they prefer, etc.
I don't know Chinese culture at all (well, not beyond OSP and their e.g. retelling of Journey to the West), so I don't know what their equivalents to any of those things would be.
Can the process be modelled using game theory where the actors are greedy corporate leaders and hungry populace?
And that’s why across-the-board AI-induced job losses aren’t going to happen-nobody wants the economic house of cards to collapse. Corporate leaders aren’t stupid enough to blow everything up because they don’t want to be blown up in the process. And if they actually are stupid enough, politicians will intervene with human protectionism measures like regulations mandating humans in the loop of major business processes.
The horse comparison ultimately doesn’t work because horses don’t vote.