I suspect we'll go up and down for many years while it gradually becomes more and more expensive to drill oil all the time. The supply and demand fluctuate due to speculation, unsold reserves, and reactivity of demand of oil, so it will be hard to see the bottom line. It's not going to be cheaper than today in 20 years, and that will inevitable manifest in the global economy.
(Having given up my car, I do not expect to ever own a car again, having nothing whatsoever to do with peak oil. The short version is that some of the really scary infections that people with my medical condition sometimes get, which doctors don't know how to effectively treat and which 'normal' people don't typically get, are used by environmental scientists for bioremediation of petrochemical spills -- ie they eat petrochemicals. I have come to believe that people like me absorb petrochemicals more than average and that this fact contributes to our seriously negative health outcomes, including picking up infections that think petrochemicals are yummy. I have done much better, health-wise, without a car. Compared to what is supposed to happen to someone with my diagnosis, a little walking is a minor burden.)
Furthermore, I imagine that even if I did get everything locally grown/made, the price of gas would still have an impact -- unless the farmers were all Amish or something and didn't use gasoline-powered farm equipment.
That's a far cry from someone who commutes 20 miles to work in an SUV and spends $60/week just on gas. These people are hurting now. If you have the opportunity to re-arrange your lifestyle so that it's a bit less sensitive to oil prices, it may be a good idea to do so.
They do not believe in the whole 'fossil fuel' business.
Link for those interested: http://www.dailykos.com/story/2010/04/27/861354/-Peak-Oil-My...
I believe I initially gained this knowledge over on theoildrum.com, and those people know their oil.
Massive speculation would be curtailed by increased production. Higher prices mean more exploration/drilling. Either we're being screwed over by a massive price fixing scheme, (which seems unlikely to me) or we've used up most of the easy to get oil.