Need Help with OOP Ranges for a toy poker game
Join Date: Feb 2006
Posts: 127
Hello Poker Theorists.
The game is a simplified version of heads-Up limit hold em'.
The rules are:
The game begins with a 1 unit ante....Preflop bet is 1 unit...flop is one unit....turn is two units... river is two units. (so a max pot has 14 units in it).
A player can either bet or fold....no checking or raising.
For argument sake...lets say the villian never folds the turn or the river.
So, OOP on the flop there are 4 units in the pot. I only need the opponent to fold 20% of the time for a bet to be break-even in a vacuum. Plus, I will have the best hand/hit the best hand on the turn sometimes, so I'm almost always betting here. A strategy to always bet the flop except for situations where I expect the villian to call >80% of the time and I have really lousy equity, ....like two undercards to the board. Seems like it would be pretty close to optimal. So that's pretty easy.
On the River OOP, the villian is always calling. I'm betting when I have 2/14 or 14.28% equity (or greater), so that frequency is really easy.
The turn is a little more complicated.
My questions....
It seems inituitive that different hands demand different call frequencies on the turn. For instance, since the villian is never folding the river... and I always know when I'm beat... a nut flush draw or nut outside straight draw, only needs 2/12 or 16.67% equity because I can fold the river when I miss (effectively "Playing perfectly).
But what should my calling frequency be on the turn for other hands?
Should it be 20%+ (bet 2 units into 10 on the turn) and re-evaluate the river.
Or should it be 4/14 or 28.57%, because the villian is never folding turn or river and I'll have to bet twice to win.
Or should it be somewhere between 2/12 and 4/14, because I'm folding the river when bad cards peel off?
My guess is the last option. Because, depending on the hand, like a gutter and two overs, when you connect you will be good almost always, so that hand can be shaded down to maybe 18-20% on the turn to demand a call. Other hands like AK (a nut no-pair hand) needs more equity on the turn, because it won't be good as often by the river, so more like 28% would be needed.
Thanks...I hope my explanation is understandable.
-TED
Join Date: Sep 2018
Posts: 262
Ok, just because your bet is +EV is not enough to bet, it needs to be better than checking if OOP. Betting a hand with 14% on the river may be wrong. Same for the flop
I really don't understand the turn part. Are you asking about equity? You need enough pot odds to call the turn to call it, not also the river. If your opponent is never bluffing. You need less if he bluffs, which he definitely does at equilibrium.
Join Date: Feb 2006
Posts: 127
Ok, just because your bet is +EV is not enough to bet, it needs to be better than checking if OOP.
True, but remember there is no checking or raising in this toy game.