#1
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Game Theory Problem Of The Week
For this week's game theory problem we will take a look at another situation .
There are two players who pick numbers from 1-100 without replacement . Each player posts a $1 ante but player one must always check even though he's first to act . Player two has the option of betting the pot or checking behind . Given this knowledge , what strategy must player two employ to maximize his EV ? We may make the assumption that player one and two are playing optimally aside from the stipulation placed on player one . |
#2
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Re: Game Theory Problem Of The Week
Player one can only check and call or check and fold . There is no raising in this game .
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#3
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Re: Game Theory Problem Of The Week
lemee guess, ur taking a math class and trying to get us to do ur homework for u? joking obv.
good stuff, keep it comin. |
#4
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Re: Game Theory Problem Of The Week
lol, thx
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#5
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Re: Game Theory Problem Of The Week
Gave up on the previous question so quick?
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#6
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Re: Game Theory Problem Of The Week
I'm using this problem as a stepping stone into tackling the more daunting task .
We will get there in due time . Be patient [img]/images/graemlins/smile.gif[/img] |
#7
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Re: Game Theory Problem Of The Week
Player B should be betting [0-.5]*(1/1+p)(bluffs) so if the pot is 1 he should be betting for value the top 50% of his hands times 1\2 of of his value hands so that he is betting a total of 75% of his hands. This is a guess btw.
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#8
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Re: Game Theory Problem Of The Week
Ok I got it .
I think . |
#9
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Re: Game Theory Problem Of The Week
P2
[1,11] Bet [12,78] Check [79,100] Bet P1 [1,11] Fold [12,100] Call Gives P1 an EV of -1/9 |
#10
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Re: Game Theory Problem Of The Week
Ok so far I have something like P2 bets with 67-100 and checks behind everything else . Player 1 calls with 79-100 and folds everything else .
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