Tuesday, February 13, 2007

TWC 2 bet game.

TWC 2player 2bet game
Two players each ante one chip.
Bets are one chip each.
Two bets of one chip each.
Check/raise allowed.
Abe and Dan are each dealt card from [0,1].
Abe acts first.
Find optimal strategy for each and calculate
value of the game for Abe.

Abe is now allowed check/raise. Dan is no longer betting
with impunity from the last position. From alley 2b the
vector space near zero will now be checked by Abe. Abe
plans to raise if Dan bets. In alley 2b some of the areas
of the intersections with Abe calling will need to be
recomputed.

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The figure on the left is the line strategies of Abe and
Dan. The figure on the right is Abe's C/R space rotated
90 degrees from the y-axis to the x-axis. The colored
payoffs are the EVs for Abe.

Most EV changes occurs by varying Abe's bet point during
alley 1 and Dan's bet point on alley 2a. The threat of
the C/R forced Dan to bet about 25-30% fewer hands.
After all the changes back and forth Abe was able to
increase his EV from -3.5% to nearly -2.7%.

This is fine tuning the strategy.

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