Earlier quoted context omitted.
Tesla consumes a small fraction of global lithium-ion battery production. When the overall market is much larger than the marginal consumption, the assumption that offering more money increases local supply holds perfectly well. Even if you assume that Tesla is demanding 5% of the battery market which would be an outside estimate that's still well within the region where paying more will get you more.
Worldwide production of lithium-ion batteries in 2013 was around 35GWh. The current rate is somewhat higher, I can't quite find how much. Tesla is currently producing around 100,000 cars/year. Each car has about 80kWh of battery on average (the options right now are 75 or 90), so that's about 8GWh. If they meet their goal of 400,000 Model 3s produced in 2018, assuming 55kWh of battery for those cars, that's 22GWh, no…
I don't think measuring it in terms of GWh is the best way to go about it, because a huge number of lithium ion batteries manufactured are NOT the type Tesla needs to use. Their battery packs are composed of 18650 size cylindrical cells.
Vast amounts of LiIon batteries manufactured today are pouch/flat type cells for laptops, tablets, mobile phones and other portable consumer electronics.
I would be very curious to see a number of the total estimated quantity of high-capacity 18650 cells manufactured worldwide in one year vs. the number of 18650 cells consumed by Tesla.