Yeah, creating a situation where you are making a choice random can be a way to win some game-theory situations.
Disturbingly, this is a “solution” to real world MAD nuclear war game theory; you probably can’t credibly threaten to INTENTIONALLY start a nuclear war, because that would kill you and nearly all the people in your country as well, but you CAN create situations of uncertainty where there is (or appears to be) a real risk that a nuclear war may randomly happen without you actually wanting it to; if the other side has a lower tolerance for existential risk then you do, the other side may back down and try to negotiate at that point.
There are a lot of variations on this; saber rattling and deliberate near-misses, stationing troops in places they can’t possibly defend (like Berlin in the cold war) just as a “trip wire” to increase the odds of WWIII happening if the Soviet Union invaded Berlin, Nixon “madman” theory, probably most of North Korea’s recent moves, ect. It all comes down to the same thing; not actual randomness, which humans can’t really do, but uncertainty, which is almost as effective.
Yeah, creating a situation where you are making a choice random can be a way to win some game-theory situations.
Disturbingly, this is a “solution” to real world MAD nuclear war game theory; you probably can’t credibly threaten to INTENTIONALLY start a nuclear war, because that would kill you and nearly all the people in your country as well, but you CAN create situations of uncertainty where there is (or appears to be) a real risk that a nuclear war may randomly happen without you actually wanting it to; if the other side has a lower tolerance for existential risk then you do, the other side may back down and try to negotiate at that point.
There are a lot of variations on this; saber rattling and deliberate near-misses, stationing troops in places they can’t possibly defend (like Berlin in the cold war) just as a “trip wire” to increase the odds of WWIII happening if the Soviet Union invaded Berlin, Nixon “madman” theory, probably most of North Korea’s recent moves, ect. It all comes down to the same thing; not actual randomness, which humans can’t really do, but uncertainty, which is almost as effective.