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#271
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I think you should raise his ass three times, unless there's more to this than I see, and there probably is because you guys are all geniuses and everything. There are too many replies to read.
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#272
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Is the equivalent problem, but with a smaller decks, so much less interesting that they are not worth trying to "solve" first? Maybe we can we then extrapolate to put limits on the result with a million card deck. What if the deck had 5 cards, and you were dealt the 4. How many raises would you put in before you called?
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#273
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[ QUOTE ]
Is the equivalent problem, but with a smaller decks, so much less interesting that they are not worth trying to "solve" first? Maybe we can we then extrapolate to put limits on the result with a million card deck. What if the deck had 5 cards, and you were dealt the 4. How many raises would you put in before you called? [/ QUOTE ] With 5 cards and at most 45 bets/raises, one optimal solution does the following: you open the betting 13% of the time and fold 100% of the time if raised. Marv |
#274
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Marv,
What about when the deck has 100 cards. When does the 99-player call/fold? It seems that after a point having more available raises in the game wouldn't change much for any optimal strategy. For example: in the 100 card game, I would imagine the 99-player would never go beyond say the 5th raise. How are you figuring this out? Do you have a program or something? |
#275
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Marv, your response is interesting, but you are proposing not to initially bet often. Sklansky's question states that you lay the first bet. How does your answer to the 5-card deck change if you force yourself to make the first bet?
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#276
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I thought it was 999 out of 1000.
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#277
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[ QUOTE ]
Marv, your response is interesting, but you are proposing not to initially bet often. Sklansky's question states that you lay the first bet. How does your answer to the 5-card deck change if you force yourself to make the first bet? Thanks [/ QUOTE ] If the first player must raise at his first action with a 4, then he should call a raise 72.5% of the time and fold 27.5% . However this game is much worse than if he is allowed to check with a 4. It's value is -8.4% rather than -5.2% if he is allowed to check with a 4. Marv |
#278
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[ QUOTE ]
Marv, What about when the deck has 100 cards. When does the 99-player call/fold? It seems that after a point having more available raises in the game wouldn't change much for any optimal strategy. For example: in the 100 card game, I would imagine the 99-player would never go beyond say the 5th raise. How are you figuring this out? Do you have a program or something? [/ QUOTE ] [I have a program for these sorts of games.] With 100 cards (and at most 25 raises), an optimal strategy with a 99 is to open the betting 95% of the time and then call after the 4th bet/raise: us them bet raise raise raise call Your intuition is right! Marv |
#279
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[ QUOTE ]
[I have a program for these sorts of games.] With 100 cards (and at most 25 raises), an optimal strategy with a 99 is to open the betting 95% of the time and then call after the 4th bet/raise: [/ QUOTE ] Marv, can your code do more than a 100-card deck? Could you do the series of decks: 10, 20, 40, 80, 160, 320 and see if there is a trend, to extrapolate to a million, as to when you should stop raising and call? Thanks |
#280
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Marv, cool, thanks for running that 100 card scenario for me.
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