Quote:
Originally Posted by emotionx
so vs standard oponent who is never ever gonna open jam lets say 370t at 10/20 with anything else than a low pocket pair its allways +EV to call hands that are 55% vs pocket pairs?
I dont really understand how rake doesnt really matter? i mean if you take a series of 50.1% vs 49.9% bets endlessly you would end up losing money in the long run... right? (due to rake being higher than that 0.1% edge)
Let's say you have 370 chips and villain has 630 chips. You post BB of 20 chips and villain openjams. Now, if you call, the EV of calling with equity x is p(740)*x+p(0)*x, and the EV of folding is p(370), where p(n) is the probability of winning the match when having n chips (and villain has 1000-n chips). Let's say we're playing a $500 ST and your pre-rake edge at 370 chips is 4%, meaning p(370)~$385. Now, let's say your edge at 740 chips is 2.5% (lower eff. stack), meaning p(740)~$760. That means that assuming EV(call)>EV(fold) and p(740)*x+p(0)*x>p(370), then 760x+0x>385 and x>385/760=0.5066. Ofc that doesn't mean *you* need 50.66% equity, your own winrate may be different and stack sizes will obv differ as well
The reason rake doesn't matter is coz I'm assuming it's a sunk cost and playing to get the highest ROI. ofc rake is not really a sunk cost and sacrificing ROI can lead to higher hourly rate, but calculating for the highest hourly rate is very complicated and depends on many factors, and will not yield the same results for a $5 player and a $500 player in this same situation, but what I can def tell you is that our 50.66% is the highest the border can go, playing for the hourly can only make it lower. Nichlemn made a good post about playing for the hourly rate but it's 3am over here and I can't really bother digging for it right now so I hope some1 else can find the link