The price can't rise infinitely because there is a finite amount of value that can be generated at any particular time. IOW, money is limited so oil price can't be unlimited.
But there is also switching going on and that keeps the wheels turning for now. Most of the energy switching is to coal and nat gas but there is also switching to automation and little Chinese girls. Global primary energy per capita use had stayed relatively flat at around 1.5 TWH/C from the mid-70's through 2000, but then jumped 15% to 1.75 TWH in the oughties because of increasing coal and nat gas use in China.
Of course in NA & EU primary energy per capita is falling (that is known as the Olduvai Gorge

)
Check out the BP charting toolBut if supply doesn't grow as fast as the demand increases (the actual population increasing plus the increase in industrial workers entering the oil market, i.e.: China) you have the same unmet demand as if the supply is falling, don't you? Still the oil price has been amazingly stable for three years or more. That argues that the cost is being born somewhere else in the economy. Here is a good picture from Gail showing how US wages flatlined in the '70's and fell outright in the oughties, you can decide the correlation:

There is a price ceiling on
this level of oil consumption because the price is completely dependent on the consumers ability to pay. He can conserve and/or switch horses, but he can't pay more for long unless he can increase the utility from each drop and simultaneously maintain his contribution to the economy. One would think some lower amount of consumption would mean a higher possible price. That was the conclusion I came to before:
use less-pay more by increasing utility.
But that chart of Gail's seems to say that not only does the worker get to cough up more money to pay for his FFs, he also gets to pay for the increase in his bosses' fuel bill as well. That is the pretty obvious reason (along with free Fed money of course) that GDP and the 1% are doing so well while the average guy ain't. And one more reason the price can't rise indefinitely.
So I guess my point is, "how fast will price rise" is the wrong question. The right question is:
"How long will I be able to pay any price?"
http://ourfiniteworld.com/2013/02/14/th ... to-growth/
The legitimate object of government, is to do for a community of people, whatever they need to have done, but can not do, at all, or can not, so well do, for themselves -- in their separate, and individual capacities.
-- Abraham Lincoln, Fragment on Government (July 1, 1854)