#1
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equity based on # of opponents
I was playing around with PokerStove today comparing certain hands & how they fare depending on the number of opponents. As expected, hands like 87s did better as we added players and something like 22 did worse and worse.
What I don't understand is the difference between AA heads-up and 3-way. HU it's +35.2% but with 2 opponents it jumps to +40.3% and doesn't drop under +35% until there are 5 opponents. Shouldn't AA do worse as we add players? What am I missing here? Please don't flame me, I'm terrible with math and just trying to figure this out. |
#2
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Re: equity based on # of opponents
It depends on what you're calculating. A fundamental shortcoming of percentages is that they're dimensionless -- they don't telly you what's being measured.
Now, if you're calculating EV as a percentage of bet: (expected money back)/(money bet) then adding more players can increase the value. (This quantity EV to the value of putting a dollar in the pot.) On the other hand if the percentage is: (hands won)/(hands played) The adding more players will decrease the value. (This quantity translates to the value of dollars already in the pot.) I expect that pokerstove is calculating the former value, since aces are a slight dog to win against 5 opponents, but that doesn't really make sense either (unless you're restricting the opponent's range of holdings). |
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