[marv]

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to marv, mikey and other guys who study stuff way over my head:
can you please tell me why you have SB bluffing with his worst hands? Intuitively it seems like "bluffing" with your better hands would make more sense.

Also,
"For the SB, the sum of all Jam fractions from 1 to 62 must total 37/2"

I have no idea how you came up with this. Can you explain to a newbie (no I don't want the algebra worked out for me step-by-step, just the general algorithm)?

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To the first point, you're right that bluffing with hands that are stronger than those you fold is better (since you'll have a better hand when oppo calls), but if we assume our opponent knows our strategy and responds optimally, then the only way that any of these bluffs can win is if he folds, since our hand is worse than the worst hand he will call with.

Thus the solutions with very weak bluffs are optimal in the game theory sense (as we reduce the BB's advantage to its minimal amount) but it's not the one you'd want to use.

Different algorithms for finding Nash equilibria often locate different optima. The one I used happened to pick about the worst!

Marv