Adding "mutants" to a rock/paper/scissor game doesn't make a lot of sense, and I think this lecture is FAR more confusing than any of the previous lectures due to this notably weird terminology you're using. Also, saying that "the mutant always PLAYS hawk" makes no sense either. The hawks and doves are not "playing" hawks and doves. They simply ARE hawks and doves. What I think you might be trying to say - though I'm honestly not sure - is that small perturbations to the ratio of hawks to doves does not push the ratio away from the equilibrium. In other words, if the hawks grew a little faster than the doves, the dynamics of the population would tend to push the ratio back towards the equilibrium ratio rather than away. So you're just checking whether the equilibrium is stable or unstable by analyzing whether a small perturbation would push it back towards the equilibrium or away from it. But, again, your terminology makes it TOTALLY confusing. Your other videos are very clear, but this one just isn't.
I haven’t watched the video to qualify your other claims yet, but Bryce’s convention of saying that a player plays hawk/dove is correct and standard. The players are not “simply hawk or dove”, otherwise they have no decision to make.
Adding "mutants" to a rock/paper/scissor game doesn't make a lot of sense, and I think this lecture is FAR more confusing than any of the previous lectures due to this notably weird terminology you're using. Also, saying that "the mutant always PLAYS hawk" makes no sense either. The hawks and doves are not "playing" hawks and doves. They simply ARE hawks and doves. What I think you might be trying to say - though I'm honestly not sure - is that small perturbations to the ratio of hawks to doves does not push the ratio away from the equilibrium. In other words, if the hawks grew a little faster than the doves, the dynamics of the population would tend to push the ratio back towards the equilibrium ratio rather than away. So you're just checking whether the equilibrium is stable or unstable by analyzing whether a small perturbation would push it back towards the equilibrium or away from it. But, again, your terminology makes it TOTALLY confusing. Your other videos are very clear, but this one just isn't.
I haven’t watched the video to qualify your other claims yet, but Bryce’s convention of saying that a player plays hawk/dove is correct and standard. The players are not “simply hawk or dove”, otherwise they have no decision to make.