Ok, but why does it require exponentially more buying capacity as prices go up? It seems like it would be a linear curve to me.

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You are right, it is a linear relationship between the price difference and the supply at that time, assuming constant supply and demand.

In the fixed supply environment that is Bitcoin doesn't price grow exponentially based on demand? It is relatively stable when supply and demand are at parity but as soon as demand outstrips supply, if the supply cannot be increased then price goes parabolic.