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There is actually an algorithm in game theory, I've forgotten the name of it, which is guaranteed to find optimal strategies that works pretty much exactly like this.
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Trial and error? [img]/images/graemlins/smile.gif[/img]
Seriously now, were you thinking of
backwards induction a/k/a rollback a/k/a Zermelo's algorithm? If so, my recollection is that it applies to games of perfect information.
Cite. If not, I'd like to hear more about what you were thinking of, since I'm trying to learn some more game theory.
The Shadow