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TD last-draw strategy tool
Suppose on the last draw you have a one-card draw to a 7432 (discarding a Q), and the button, while your opponent has a one-card draw to 8642 (discarding a K.) The pot has 5.5 big bets. Can you describe a game-theoretical optimal last-round strategy?
Such a strategy should specify, for each card you receive, a "line" such as "bet when checked to and call a raise" or "fold to any bet" or "raise and cap." Here's a tool (toy) I wrote: http://gritter.dsg.stanford.edu/strategy.html It lets you specify a complete "pure" strategy for each player and evaluate the resulting EV for each player, given a specified pot size. (I've only tested it in Firefox.) Can you come up with good strategies for the two players? If there is no further action in the situation I described, A's expected value is 2.514 and B's is 2.986. It seems hard in practice to get A (acting first) to achieve this much against a good B strategy. Further features that should be added but probably won't: 1. Evaluate other hand matchups. (Currently I work it out on a spreadsheet and import the probabilities and winning hands as a fixed table.) 2. Allow mixed strategies where a line is taken only some % of the time. (For example, bluffing every pair of 8s might be too much.) 3. Easier save/restore of strategies. |
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