Quote:
Originally Posted by pksmv
hi guys,
just wondering if it's possible to draw a "best response strategy curve" in CREV.
let me give an example: consider the shove/fold game, i.e SB can shove or fold, while BB can call or fold.
With "best response strategy curve" graph I mean a graph that display on the X axis: SB shoving freq, while on the Y axis: BB calling frequency. Then each points on, for example, the SB best response curve is the max exploitative shove freq for SB given the corresponding BB calling freq. While the intersection of the two curves is the equilibrium strategy.
Im going to attach a pic of the graph
Thanks in advance.
Cheers
[IMG][/IMG]
There's no dedicated function for this, but it can be done with a scipt.
See the screenshot below for SB varying his frequency and BB applying max exploit:
And see below for the graph where BB varies his calling frequency and SB applies max exploit:
Of course, for what you're looking to do you'd need to apply a transformation for the results of the second graph, so that BB's frequency is on the Y-axis (so all you would need to do is switch the X and Y columns so that they become Y and X). After that it should be possible to plot them in a single graph, for example in Excel.
One more thing to consider is that the frequency unfortunately still does not tell you which particular hands are in the top X% for that shove. This is not a fault of CardRunnersEV, but rather the fact that no ranking is defined here. Just saying that SB should shove the top 10% of hands unfortunately still does not tell us which hands those are. The same applies to setting a calling frequency for BB and making SB apply max exploit. In the examples above I have just used the standard ranking. Although it will not give you the exact equilibrium, it will bring you reasonably close to it.
That being said, should you not be aware of it, CardRunnersEV contains an equilibrium solver that can figure out the equilibrium for you. So it's not necessary to do this for yourself by hand. CardRunnersEV can figure out the equilibrium for you on the push of a button. For more on the solver, please see the videos here:
http://www.cardrunnersev.com/download.html
Cheers,
Scylla