3 Bet Poker Definition
Specifying as gtree game
Guide to Polarized 3-Betting Ranges in Poker. Whenever you are 3 betting in cash games you need to know exactly why you are 3-betting. You need to be either 3-betting for value or 3-betting as a. 3Bet word type: poker slang The act of making a raise against a raise in a hand, or in other words, the final bet in the sequence of Big Blind - Raise - 3Bet.
We specify the game in gtree as follows:
To better understand the definition and to check whether we have correctly specified the game, it is useful to take a look at the outcomes:
| card1 | card2 | cb1 | cb2 | fc2 | fc1 | folder | winner | gave1 | gave2 | pot | payoff_1 | payoff_2 | util_1 | util_2 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 2 | check | check | NA | NA | 0 | 2 | 1 | 1 | 2 | -1 | 1 | -1 | 1 |
| 1 | 2 | check | bet | NA | fold | 1 | 2 | 1 | 2 | 3 | -1 | 1 | -1 | 1 |
| 1 | 2 | check | bet | NA | call | 0 | 2 | 2 | 2 | 4 | -2 | 2 | -2 | 2 |
| 1 | 2 | bet | NA | fold | NA | 2 | 1 | 2 | 1 | 3 | 1 | -1 | 1 | -1 |
| 1 | 2 | bet | NA | call | NA | 0 | 2 | 2 | 2 | 4 | -2 | 2 | -2 | 2 |
| 1 | 3 | check | check | NA | NA | 0 | 2 | 1 | 1 | 2 | -1 | 1 | -1 | 1 |
Look at the first row. We see from cb1 and cb2 that this corresponds to an outcome in which both players check. The variables fc2 and fc1 take NA values because there is no decision to fold or call if both players check.
Formulas in the game definition will be internaly evaluated in a vectorized fashion over similar data frames and may take NA values. The helper function is_true takes a logical vector and replaces NA values with FALSE. I use this function in the game definition where a condition must evaluate to either TRUE or FALSE while NA values are not allowed.
You may also take a look at the definition of card2 in the first stage. Here the set of the random variable is a formula and depends on the previously computed value of card1.
3 Bet Poker Definition Game
What Is 3 Bet
Let us also take a look at the game size:
3 Bet Poker Definition Net
While the number of pure strategy profiles is not really small, the game still seems of tractable size for numerical analysis.