Let's state your proposition the other way around - a 3% shortfall in meeting demand caused a doubling in price. What will another 3% shortfall cause? And another? And another?

Also, you are nitpicking. It's still exponential growth. A 4% projected growth rate results in doubling of demand in 17.5 years. A 1.5% projected growth rate results in doubling of demand in 46 years. Do you seriously think petroleum production can grow to 170 million barrels per day by 2053?

Ghawar Is Dying
The greatest shortcoming of the human race is our inability to understand the exponential function. - Dr. Albert Bartlett

>Let's state your proposition the other way around - a 3% shortfall in meeting demand caused a doubling in price. What will another 3% shortfall cause? And another? And another?

It won't be linear. Once past peak production, economic growth will slow or end. This will put a crimp on demand growth. Thus the price of oil will not go to infinitely as supply slowly dwindles to zero.