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Old 09-11-2007, 02:39 PM
mykey1961 mykey1961 is offline
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Join Date: Oct 2005
Posts: 249
Default Re: Why Position Matters Using Game Theory

I calculated a maximal opponent for your P2 strategy

with Range1[0] do begin Start := 0; Stop := 1/6; Action := P1_Bet; end;
with Range1[1] do begin Start := 1/6; Stop := 19/24; Action := P1_Check_Call; end;
with Range1[2] do begin Start := 19/24; Stop := 1; Action := P1_Bet; end;


with Range2[0] do begin Start := 0.00; Stop := 7/12; Action := P2_Fold_Check; end;
with Range2[1] do begin Start := 7/12; Stop := 1; Action := P2_Call_Check; end;

[0.0000,0.1667] vs [0.0000,0.1667] 31 0.0278 1.00000 0.02778
[0.0000,0.1667] vs [0.1667,0.5833] 31 0.0694 1.00000 0.06944
[0.0000,0.1667] vs [0.5833,0.7917] 33 0.0347 -3.00000 -0.10417
[0.0000,0.1667] vs [0.7917,1.0000] 33 0.0347 -3.00000 -0.10417
[0.1667,0.5833] vs [0.0000,0.1667] 21 0.0694 1.00000 0.06944
[0.1667,0.5833] vs [0.1667,0.5833] 21 0.1736 0.00000 0.00000
[0.1667,0.5833] vs [0.5833,0.7917] 23 0.0868 -1.00000 -0.08681
[0.1667,0.5833] vs [0.7917,1.0000] 23 0.0868 -1.00000 -0.08681
[0.5833,0.7917] vs [0.0000,0.1667] 21 0.0347 1.00000 0.03472
[0.5833,0.7917] vs [0.1667,0.5833] 21 0.0868 1.00000 0.08681
[0.5833,0.7917] vs [0.5833,0.7917] 23 0.0434 0.00000 0.00000
[0.5833,0.7917] vs [0.7917,1.0000] 23 0.0434 -1.00000 -0.04340
[0.7917,1.0000] vs [0.0000,0.1667] 31 0.0347 1.00000 0.03472
[0.7917,1.0000] vs [0.1667,0.5833] 31 0.0868 1.00000 0.08681
[0.7917,1.0000] vs [0.5833,0.7917] 33 0.0434 3.00000 0.13021
[0.7917,1.0000] vs [0.7917,1.0000] 33 0.0434 0.00000 0.00000

EV_P2_vs_P2MO = 0.114583

The EV is measured in terms of P1, so positive EV for P1 means P2 is losing money.
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