In this case, I can only conclude that you haven’t read thoroughly enough.
(There are exceptions to this rule, but they have to do with defeating cryptographic adversaries—that is, preventing someone else’s intelligence from working on you. Certainly entropy can act as an antidote to intelligence!)
I think EY’s restriction to “cryptographic adversaries” is needlessly specific; any adversary (or other player) will do.
Of course, this is still not really relevant to the original point, as, well, when is there reason to play a mixed strategy in Prisoner’s Dilemma?
Even if your strategy is (1,0) or (0,1) on (C,D), isn’t that a probability distribution? It might not be valuable to express it that way for this instance, but you do get the benefits that if you ever do want a random strategy you just change your numbers around instead of having to develop a framework to deal with it.
The rule in question is concerned with improving on randomness. It may be tricky to improve on randomness by very much if, say, you face a highly-intelligent opponent playing the matching pennies game. However, it is usually fairly simple to equal it—even when facing a smarter, crpytography-savvy opponent—just use a secure RNG with a reasonably secure seed.
In this case, I can only conclude that you haven’t read thoroughly enough.
I think EY’s restriction to “cryptographic adversaries” is needlessly specific; any adversary (or other player) will do.
Of course, this is still not really relevant to the original point, as, well, when is there reason to play a mixed strategy in Prisoner’s Dilemma?
Even if your strategy is (1,0) or (0,1) on (C,D), isn’t that a probability distribution? It might not be valuable to express it that way for this instance, but you do get the benefits that if you ever do want a random strategy you just change your numbers around instead of having to develop a framework to deal with it.
The rule in question is concerned with improving on randomness. It may be tricky to improve on randomness by very much if, say, you face a highly-intelligent opponent playing the matching pennies game. However, it is usually fairly simple to equal it—even when facing a smarter, crpytography-savvy opponent—just use a secure RNG with a reasonably secure seed.