Robots? Hollywood has run various simulations on robots - it doesn't end well.That only works if you institute a 2 child policy and enforce it globally.
That would involve murdering children so, i highly doubt you can do it.
What you need is robots with guns, as they will follow any order.
What we need - and here Japan is leading the way - is a race of bio-engineered anime catgirls. Trust me, that will solve all the world's problems.