Kinda like the glut of oil reserves in the world. Everyone knows the time of internal combustion engines is drawing to a close and so they are trying to sell every barrel they have before barrels of oil become worth pennies.
Once enough people have asteroid material in orbit, the material cost will drop as sellers try to recover any value out of the market.
If there’s enough production going on in space to bubble-and-pop at that kind of scale, I’d expect overcapacity to be used for construction of space habitats, not lowering prices below cost in a fire-sale.
In the very long term, I could imagine automated processing of metals on asteroids leading to 3D printing of giant space station parts. Then one could attach an ion thruster and send the parts to the their destination for final construction.
Though possibly the asteroid would be more valuable in orbit than on Earth. It's hard to get materials up there!
When astronauts return from space they have to carefully control how they descend and make sure that they don't get too low while they're traveling too fast. Otherwise they'd burn up.
Or even a hollow sphere.
Easier solution - park the asteroids somewhere and have the nations of the world pay you not to.
If I acquire a bunch of asteroids and double the size of that supply, I now own X/2 dollars worth of minerals, instead of the zero dollars worth that I did before.
For a simple example, consider the case of decorative diamonds today.
Suppose it costs a terrestrial mining company $1000/ton to extract a material, and the price is $1005/ton, and you can bring the same metal down from space for $100/ton, and sell at $110/ton. Under this set of facts you can make a better margin than the terrestrial miners make, take over the whole market, and everybody except the terrestrial miners will be better off.
Your only competitors would be other space miners, and the capex/research investment required to set up a space mining operation would constitute a significant moat (though certainly not a permanent one).
Who knows if these hypotheticals are remotely close to how this will play out, but I think this is an interesting scenario.
The point I was making was that even if you cause a price drop by flooding the market, it might not be a bad outcome; you could end up making more profit than was being made by your competitors before you entered the market.
To your point, it's true that even if the equilibrium state isn't more profitable for an actor, they would still be incentivized to increase the supply if they could temporarily widen their profit margins while the price is changing (e.g. until the competitors can catch up). But I think that the equilibrium state provides a simpler working example of the general point I was making.