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EV Questions EV Questions

04-12-2017 , 09:57 PM
Quote:
Originally Posted by Bob148
You would have to be in possession of the entire equilibrium strategy pair to answer this.
Yeah that's what i was thinking so...

Total EV for hero's exploit strat vs. Villain's non-nash strat is > Total EV for hero's nash strat vs. Villain's non-nash strat

or is it...

Total EV for hero's exploit strat vs. Villain's non-nash strat is > Total EV for hero's nash strat vs. Villain's nash strat

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I made a simple example to understand the actual math a bit better (which is what i am struggling to understand here ik this may super trivial for some of you)

-River Only, Board = Q43K3
-Hero's range is #6 AA #3 KK #4 JTs #4 65s, Pot is 60 and hero bets 45
-Villain's range is #3 QJs #3 QTs #6 77 #6 66









Last edited by Evoxgsr96; 04-12-2017 at 10:13 PM.
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04-12-2017 , 10:31 PM
Hero's Total EV = 200
Villain's Total EV = 41

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Hero's Total EV = 180 (Nash)
Villain's Total EV = 1.1

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Hero's Total EV = 170 (Nash)
Villain's Total EV = 5.5 (Nash)

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Just wondering about villain's Total EV in #1 (when we are using a max exploiting strat), him having +41 instead of +5.5 does that mean he is exploiting us?
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04-12-2017 , 11:46 PM
Quote:
Originally Posted by Brokenstars
then just bet 100% IP

his IP strategy vs. our check can change our EV and it may be better to check vs. him depending. (if we are OOP)
Yeah basically this lol is answer to my 1st question, skip all my ramble everyone.

But was wondering about the EV for multiple streets coz we are OTT and yeah that's why i posted all that crap after that.
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04-16-2017 , 12:14 PM
Quote:
Originally Posted by Evoxgsr96
does that mean he is exploiting us?
I think there are a few possibilities here depending on board texture:

a) the board has come down in favor of our range: in this case, we should own a share of the pot that is greater than our previous investments. So let's say we've invested exactly 1/2 the pot in a heads up match and the board favors us on the river. I'm imagining a true pot share for myself that is greater than 1/2 the pot. If my opponent can create a strategy that earns >1/2 the pot, then I'm clearly being exploited.

b) the board has come down in favor of our opponent's range: in this case, we should own a share of the pot that isn't necessarily equal to or greater than our previous investments. So let's say we've invested exactly 1/2 the pot in a heads up match and the board favors our opponent on the river. I'm imagining a true pot share for myself that is less than 1/2 the pot. If my opponent can create a strategy that earns more than 1/2 the pot, then I'm not necessarily being exploited.
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