I'm looking at this tutorial that shows the following usage:
same subject (+ base form)
I’d rather stay at home than go out tonight.
different subject (+ past simple clause):
I’d rather you stayed at home tonight.
I don't remember hearing this structure before. How common is that? I'd probably say:
I’d rather have you stay at home
Is this an equivalent and grammatically correct?
hints that you hope the stayed at home comes from you (the other person).?