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?
No matter whether you are a hawk or a dove, you may disregard all meetings with doves, for you won't be killed. Also, whatever happens to doves doesn't affect your chances. So, you may consider the world to be populated only by N hawks and you. (N=H if you are a dove, and N=H-1 if you are a hawk.)
If N is odd, you'll be killed no matter what you are.
If N is even, it also makes no difference if you are a hawk or a dove; you'll be alive only if you are the last one standing, with odds 1/(N+1).
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