Tom Weideman Challenge Extension

This challenge is for the specific case where each of two players ante one unit. Two players, called Abe and Dan, are each dealt a card from the line interval [0,1]. Abe is allowed to bet one unit or check. If Abe bets, Dan may call or fold. If Abe checks, Dan may bet or check. If Dan bets, Abe may call or fold. This is a two partial street game. In hold'em with check/raises there can be as many as six parts to a full street.

The two line strategy vectors are posted above. The one on the left is the TWC vector. The one on the right is the extension.

The solution for TWC was Abe should bet less than 0.3. Abe bluffs greater than 0.9. Greater than 0.3 and less than 0.9 Abe checks. Abe's EV is +0.1 units.
Dan's betting strategy in the next partial street is in the same ratios as Abe's in TWC. Dan bets 30% of Abe's 0.6 space. That's 18%. Add to the 0.3 where Dan has a known winner. Dan bets less than 0.48. Dan bluffs greater than 0.84. Abe calls 60% of his space. Abe calls less than 0.66 Abe's EV is -0.56.

Run 2. Dan's bluff space is shifted from 0.84 to 1 to 0.74 to 0.9. Dan's bet space and Abe's call space remains unchanged from run 1. Abe's new EV is -0.32.

Conclusions. Dan does better by bluffing his worst 16% of his hands. In this game Dan's positional advantage is 2.8%.