Edge question
Hi guys
I have a v basic q I need help answering.
My game is hu sng's
Theoretically I have calculated the chances of me winning the game is 52% to my opponents chance of 48%
What is my edge in numbers? Is it 2% or 4%?
I think you will all be able to see why I'm unsure
6 Replies
4%.
"Edge" is typically defined as the difference between your win% and lose% for HU SnG.
- Edge = Win% - Lose% = 52% − 48% = 4%
This also aligns with the expected value per game:
- EV = (Buy-in * Win%) - (Buy-in * Lose%) = Buy-in * (Win% - Lose%) = Buy-in * 4%
Brilliant.
2% is the long term return on investment
But obviously that is separate from 'edge' (although you can see the link) 😀
Brilliant.
2% is the long term return on investment
But obviously that is separate from 'edge' (although you can see the link) 😀
Your ROI, which as a term is more rigorously defined mathematically and used in other more rigorous contexts, is 4%.
You play 100 games, you win 52, you end up with 104 Buy ins.
Not sure about edge, but I would aim for the edge definitio to be distinct from roi so as to avoid lexical redundancy and I would attempt to always clarify it since it is not a term with a standard mathematical definition.
Maybe the answer given (difference between our and opponent's win% and lose%) difference from ROI for multiway and non binary outocomes (fifty50/bounties/cash). Or maybe it's a linear synonym but one comes from measurement and the other from construction, like the diameter and radius of a circle.
Personally I feel that edge is something that occurs on a per hand basis, unlike roi, and I've seen it used in that context as well in sims, where you set your edge so as to prioritize longer games. In this sense the same edge translates to higher rois in longer games, and lower roi (and even negative if there's rake).
So the unit of edge in this sense would be different, as it is advantage per hand and not per game.
Are you sure?
It is late here and I am tired
But for my initial (52 to 48 theoretical win probability) scenario I thought clearly gave me a 2% ROI
If you are right I'm really glad you cleared something up for me
LoveThee is right.
Say you buy in for $100:
Your EV per game = win% * $100 - lose% * $100 = $4
ROI = EV / Buy-in = $4 / $100 = 4%
Thanks guys
i've had this on my to do list for the last week or so
i did some long hand practical calculations and the answer is now clear
it was also useful to get a bit more context to the situation ie considering the difference between edge and roi and when each would apply
