Whenever a hawk meets a dove, the dove is killed. Whenever two hawks meet, they fight to death, and both are killed. And if two doves meet, nothing bad happens.
There are H hawks and D doves, and you are either a hawk or a dove. Assuming that meetings are random, what are your chances of survival?
(In reply to
Final part by Old Original Oskar!)
I worked out a few examples that imply that this reasoning seems to work, but I am not entirely convinced. The reason is that if you are a dove where H is even, and you meet a fellow dove, nothing happens. On the other hand, if you were a hawk instead of a dove, and you meet a dove, you kill that dove, which would affect subsequent probabilities.