Being able to deduce a policy from beliefs doesn’t mean that common knowledge of beliefs is required.
Sure, I didn’t say it was. I’m saying it’s sufficient (given some assumptions), which is interesting.
In any case it doesn’t mean that an agent in reality in a prisoner’s dilemma has a crystal ball telling them the other’s policy.
Sure, who’s saying so?
But a case where they each learn each other’s beliefs doesn’t feel that natural to me
It’s analyzed this way in the literature, and I think it’s kind of natural; how else would you make the game be genuinely perfect information (in the intuitive sense), including the other agent, without just picking a policy?
Sure, I didn’t say it was. I’m saying it’s sufficient (given some assumptions), which is interesting.
Sure, who’s saying so?
It’s analyzed this way in the literature, and I think it’s kind of natural; how else would you make the game be genuinely perfect information (in the intuitive sense), including the other agent, without just picking a policy?