Open Side Menu Go to the Top
Register
Lower tie chance but higher equity multiway Lower tie chance but higher equity multiway

08-26-2020 , 09:23 AM
I was playing in pokerstrategy equilab, seeing how well specific hands would fare against ATC. I did monte carlo simulation of 33 vs two opponents playing any two cards for 2 billion hands and found something surprising: these were the results:



Everyone seems to have approximately the same chance of winning. But 33 has lower chance of tying, yet it's equity is higher than the others. The only explanation i can think of is that maybe 33 would have more two-way ties than three-way ties, but my intuition thinks the opposite should be true, since 3 is a low card seems unlikely that it would tie against only 1 opponent. So why does this happen?
Lower tie chance but higher equity multiway Quote
08-26-2020 , 12:59 PM
Your table shows 33 having an extra 1% chance of winning, which is where its higher equity comes from. The tie percentages appear to be adjusted for the # of ways split, otherwise the Equity column wouldn't simply be win% + tie%.
Lower tie chance but higher equity multiway Quote
08-26-2020 , 04:50 PM
Maybe I'm not understanding OP's question/comment ...

My guess is that 33 would have very few 2-way ties and a small number of 3-way ties. The other two (random) hands would have quite a few 2-way ties (with each other) and, of course, the same number of 3-way ties as 33 had.

So, as heehaww points out, 33's equity is about the same (slightly higher) due to 33 winning more pots than either of the two random hands.
Lower tie chance but higher equity multiway Quote
08-27-2020 , 09:35 AM
I read it wrong, close this thread or delete it if possible.
Lower tie chance but higher equity multiway Quote

      
m