Polarized Turn Bettingrange vs Tiny River Donkbet
I wonder how the following scenario is handled in gto-land. Assume you are playing vs a short stack and you are in position on the turn. The short stack has pot size left. You decide to bet a polarized range (hands with 100% and 0% equity). What's your bet size? Say you use all-in (pot) and construct your range accodingly, namely with a value to bluff ratio of 2 : 1. fine. Is your bet size forced to be all-in?
Assume you use a slightly smaller one (< pot). Your value / bluff ratio stays roughly the same. In this case, could the short stack exploit you by calling the turn and donking the river for a tiny amount? For example hero bets 0.9x pot on turn and faces a river donkbet by villain of 0.1x pot. In this scenario hero needs to defend ~ 1 - 0.1/(1+2x0.9) = 0.96, however, he is lacking bluffcatchers (his range only consists of 100% and 0% equity hands) and he is not able to reach mdf (without calling some bluffs, which doesnt make any sense). How is this situation handled within gto-land? Does this have any practical implications?
2 Replies
Your size would be around 35% or so, exactly geometrical if perfectly polarised.
Ratio would happen to also be around 2:1, i think coincidentally
Shoving turn is not correct with a polarised range.
Donking into a perfectly polar range also doesnt work, yes you will get overfolds but you have to compare to the alternative where the polar range has to check back river with vast majority of air and lose. GTO doesnt need to handle it, thats just a matter of OOP hands being worth more than 0 EV.
GTO doesnt have to defend MDF, it needs to make your bluffs as much EV as giving up at most
Yes, ^ correct
No point in donking into polarized range as this just reduces your EV.