I don't think governments will have to beg for anything. The less people businesses employ, the less power they will have. So either they'll employ people or they'll have to put up with whatever solution governments come up with (higher taxes, guaranteed minimum income, etc.). Either way, they'll still need customers, right?

This reminds me of a story about a new Ford factory full of robots. The manager invites the union boss for a guided tour then asks him if he can convince the robots to join the union. The union guy then asks if the manager can get the robots to buy Fords.