It sounds very similar to things like oil production, gold mining, and even farming. When the price is high, everyone wants in on the action. As supply explodes, the prices drop. Once prices get low enough, the costs to pump the next barrel of oil, find the next ounce of gold, or harvest the next acre of a certain crop; exceed the reward. When that happens, wells are shut down, mining operations suspended, and different crops planted. The cycle begins again.

The difference is that the quantity of what is being supplied is a factor with supply of oil/gold/grain/etc.

For mining it is just necessary that it happens.

The amount of work in mining is way higher than is required to prevent another party from being able to overwhelm the Blockchain. It is that high because of the subsidy of the mining reward means if Bitcoin has a high value the reward is worth a lot.

This is factored in with the halving of the reward. Either the price will increase exponentially or the mining reward will drop. Causing mining to reduce to those who can be profitable from fees. Which rewards those who can mine most efficiently, it becomes a supply and demand calculation in a market where there are relatively low barriers for competitors.

There's a soft failure-mode for bitcoin where due to the alternating difficulty adjustment, you could end up with people only mining every other 2016-block adjustment.

Let's call this cycle A and cycle B.

If A is too hard, miners drop out, cycle B gets easier, miners flood back, cycle A gets harder.

This results in the hard cycle getting longer and the easy cycle getting shorter.

This isn't completely critical as there is I believe a small damping effect, so it isn't completely lethal to bitcoin, but a key thing about bitcoin mining is that whether other people are mining or not doesn't actually affect your own profitiability.

Other people dropping out doesn't actually mean you get more bitcoins per hour/watt, it only affects the next difficulty adjustment as a secondary effect.

Satoshi thought of everything, man.

There is an interesting missing link in the feedback cycle with Bitcoin though - the same amount is produced regardless, supply does not contract with demand.