Fine, maybe there are some non-computable minds in concept space, but that is okay. I think that all the minds that we could potentially simulate should be counted as players. Usually in game theory, you don't talk about new players being added, so I think that the correct model is that these potential players choose a strategy which only has an effect if their minds are simulated.
Further, I think this is a very important ethical question. I think clearly we should not give equal rights to all potential minds that are not simulated, because many of them cancel each other out. I feel like my morals only care about the actually realized minds (i.e. those that at some point gain some kind of power), which makes me wonder if maybe I should care about minds with an amount proportional the amount of power that that mind has over the world.
It's not just non-computable minds, there are minds that require too much computing power. Anyway, the zero-sum game where you give equal weight to agents that actually exist and agents that have almost no chance of existing is not the same game PhilGoetz was modeling reality with when he originally called it zero-sum.
Recalling first that life is a zero-sum game, it is immediately obvious that the quickest and easiest path to success is not to accomplish things yourself—that's a game for heroes and other suckers—but to tear down the accomplishments and reputations of others. Destruction is easy. The difficulty lies in constructing a situation so that that destruction is to your net benefit.
The problem with destruction is that it invites retaliation. Even when your talent for lies, slander, and other dirty work is superior to your opponent's, he will still manage to cause you difficulties. When there is a third, uninvolved party, all they need do is stay out of it until you and your opponent have beaten each other down, and they emerge the winner.
It is therefore crucial that you prepare the way for your destructive ascent by polarizing the field into two camps. There must be no third parties or positions. If there are three political parties, you must begin by crushing the weakest. If there are three or more possible opinions on a matter, you must introduce terminology that conflates them and makes it appear that there are only two. Uniting your opponents is not beneficial, but making them appear to be united is, as it allows your attacks to strike them all at once. The vicious arts can thrive only when the apparent choices are first narrowed down to two.
(The mirror tactic is to narrow down the number of choices to one, and present them as two. We shall cover that in Dark Arts 201.)