Quote:
Originally Posted by TNixon
So here's an interesting one.
14.2bb nash calling range: 22+,A2s+,K6s+,Q9s+,JTs,A2o+,K9o+,QTo+
K5o equity against that range: 35.274%
97o equity against that range: 35.432%
My guess at the answer here would be that if you added 97o, the appropriate calling range would widen enough that you'd be worse off shoving 97o than folding it. (which is exactly what NRFanshawe said)
But hey, I stand corrected. It's not always about equity.
showing that your ranges contradict the definition of nash equilibrium doesnt mean the definition's wrong -- it means your ranges are wrong :-p. that is, the chart you read off doesnt represent the exact equilibrium strategy. don't worry, though -- it's close.
but it's still all about the equity.
Quote:
Originally Posted by TNixon
Technically, though, it is actually still all about equity.
Because you can't just add or subtract shoving hands without also modifying the equilibrium calling range.
So even though 97o (rated for 10bbs) has a higher equity against a 14bb calling range than K5o does, once you modified the optimal calling range for adding 97o, it's almost certain that K5o would do better than 97o against the new calling range, because you'd be adding more hands that are less than K-high than you would be adding K-high hands, and the A-high hands are already all in a 14bb calling range.
And of course, the whole thing would be -EV compared to just folding.
nah, if this were the case then there'd just be a mixed strategy for those hands
Quote:
Originally Posted by ajloeffl
Did you ever figure out what really goes on here with 97o vs K5o for their respective pushing stack sizes?
so yea, the issue is that the ranges given at holdemresources.net are just not quite right. not that big a deal though. obv just the fact that it shows the data in that chart form makes it impossible to indicate a lot of strategies, including when some are mixed.
for example, a better approximation of the equilibrium strategy at 14.2bbs is:
sb shoves
{22+,A2s+,K2s+,Q4s+,J5s+,T6s+,95s+,85s+,74s+,64s+, 53s+,A2o+,K6o+,Q9o+,J9o+,T8o+,98o,87o,76o}
bb calls
{22+,A2s+,K6s+,Q9s+,JTs+,A2o+,K9o+,QTo+,J9s about 66% of the time, K8s about 35% of the time}