Old state: low prices Chaos: The current ups and downs New state: high prices
But again, peak oil might be wrong if demand goes down and there is a massive switch from black to green (energy) before demand rises again.
There's also no guarantee of stability. Because in fact we haven't really had economic stability for the last thirty years - far from it.
What we've had is a relatively stable political system which has been implemented and sustained using economic jargon as a rhetorical narrative device.
Expecting that economic jargon - which is made of sandcastles floating on bullshit, as JK Galbraith has almost pointed out - to provide an insight into any stable political system in the future might possibly be optimistic.