Re: Collusion in poker - can it actually acomplish anything?
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It does not require any communication. The following situation is possible. It is possible that two players B and C have never met each other, and don't act in concert in any way, but simply play their own strategies, with it having the effect that no matter how well player A plays, he is in a negative EV situation, even if player A is fully aware the strategies of players B and C, and is a perfect game theorist.
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Uh, are you responding to the right post? I didn't ask if there existed a game such that collusion (either explicit or implicit) was possible. I will glady stipulate such a game might exist. I can also provide examples of hypothetical games where collusion of any kind is 100% impossible. The question is which catagory poker falls in.
It would seem to me that the only way to prove it is in the "collusion possible" camp would be to provide a clear example.
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See The Mathematics of Poker by Bill Chen and Jerrod Ankenman for an example, though examples have been known for a long time.
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