What is the steady state? Assume you have two competent superpowers, both researching missile offense and defense, over the next 1000 years. What are the asymptotics of the interception rate from 0 to 1000?
https://en.wikipedia.org/wiki/The_bomber_will_always_get_thr...
That’s the steady state. Interceptors are expensive; missiles are (relatively) cheap. There’s no sine wave or cat and mouse game. If you’re trying to defend against a peer, missile defense loses.
The steady state would look like a sinusoidal signal. This is more of a cycle than a hill climbing thing.