
Originally Posted by
Mezza Morta
lets do the math
100 hands
if
villain folds if we bet, figuring we never
bluff
30% of the time we make our hand = 30 wins = +$6000
10% of the time we
bluff = 10 wins = +$2000
60% of the time we c/f = 0 wins =+$0
we win $8000
if villains calls always
30% of the time we make our hand = 30 wins = +$9000
10% of the time we
bluff = 10 losses= -$1000
60% of the time we c/f = 0 wins =+$0
we win $8000
NOTE: This is not
break-even, in the sense that we win $0, we win either way, its breakeven in the sense that whatever
villain chooses, he loses the same.
Game theory just randomizes our bluffing and ensures our profit. If we were to
bluff too much, opponent would be correct to
call always. If we were to never
bluff opponent would be correct to always
fold. If we
bluff the "correct" amount of times randomly, opponent has no correct
option.