Re: The Mathematics of Poker
Is this the appropriate place for extensive content discussion? So far, I like it and expect it to spawn some lively discussion.
I did pick up one error on page 48. The unconditional probabilities p(A_has_the_nuts) and p(A_has_a_bluff) in the equation for <B,call> should be replaced by probabilities conditional on the event "A_bets".
p(A_has_the_nuts|A_bets) = 0.2/(0.2+x)
p(A_has_a_bluff|A_bets) = x/(0.2+x)
Notice that these will sum to 1. This change leaves the critical value x*=0.04 unaffected, but game value will now be seen to be a non-linear function of x. The primary conclusions don't depend on linearity and are unaffected.
A similar error occurs on page 56 in the expression for <A,call>.
Patrick Sileo
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