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Thread: Surrender Question

  1. #53
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    Wonderful! However, there is not very much meat in 6 or 8 deck games, and also there are no available single deck games. I greatly hope to see these numbers on 2-deck games.

  2. #54


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    Quote Originally Posted by aceside View Post
    Wonderful! However, there is not very much meat in 6 or 8 deck games, and also there are no available single deck games. I greatly hope to see these numbers on 2-deck games.
    I've posted a 2D index.

    Sincerely,
    Cac

  3. #55


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    For 7D and 52 cards remaining:

    Code:
    +----------+----------------------------+-----+-----+---------------------+
    |   Play   |              TC            |  RC | IRC |          EV         |
    +----------+--------------+-------------+-----+-----+---------------------+
    |    Ins   |   3.058824   |     8/136   |   9 |   0 | 0.00005756832546222 |
    +----------+--------------+-------------+-----+-----+---------------------+
    


    For 8D and 52 cards remaining:

    Code:
    
    
    Code:
    +----------+----------------------------+-----+-----+---------------------+
    |   Play   |              TC            |  RC | IRC |          EV         |
    +----------+--------------+-------------+-----+-----+---------------------+
    |    Ins   |   3.091892   |    11/185   |  10 |   0 | 0.00105372979730678 |
    +----------+--------------+-------------+-----+-----+---------------------+
    


    Sincerely,
    Cac
    Last edited by Cacarulo; 05-23-2022 at 09:12 PM.

  4. #56
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    Quote Originally Posted by Cacarulo View Post
    I've posted a 2D index.

    Sincerely,
    Cac
    Nice, I just saw it, but can you dig a little more into this? Post the 2-deck results like what K_C just did for 8-decks, like this:
    100 6 3.12
    83 5 3.13
    66 4 3.15
    49 3 3.18
    32 2 3.25
    15 1 3.47

  5. #57


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    Quote Originally Posted by aceside View Post
    Nice, I just saw it, but can you dig a little more into this? Post the 2-deck results like what K_C just did for 8-decks, like this:
    100 6 3.12
    83 5 3.13
    66 4 3.15
    49 3 3.18
    32 2 3.25
    15 1 3.47
    Sorry, that wouldn't be an index. The index should be the minimum TC at which one should buy insurance. That would include any TC greater or equal than the index.

    Sincerely,
    Cac

  6. #58
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    Quote Originally Posted by Cacarulo View Post
    Sorry, that wouldn't be an index. The index should be the minimum TC at which one should buy insurance. That would include any TC greater or equal than the index.

    Sincerely,
    Cac
    One main point here is to find out how the index varies with the dealing depth. Some indices increase while others decrease. K_C has showed that the insurance index mostly decreases with the dealing depth. It does not strictly decrease all the way though. I guess this is true for both 8-decks and 2-decks.
    Last edited by aceside; 05-23-2022 at 10:03 PM.

  7. #59


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    Quote Originally Posted by aceside View Post
    One main point here is to find out how the index varies with the dealing depth. Some indices increase while others decrease. K_C has showed that the insurance index mostly decreases with the dealing depth. It does not strictly decrease all the way though. I guess this is true for both 8-decks and 2-decks.
    It is one thing to see how an index varies according to penetration and another thing is the index itself.
    K_C showed in his data that the lowest TC at which there is an advantage is found when there are 185 cards remaining and the RC is equal to +11. That corresponds to the index we need to find and the value is 3.091892. Any TC above or equal to that index will have a positive advantage and therefore we must buy insurance.
    Suppose we know in advance that the index is 3.09 but we have to play with horrible penetration. When the TC is greater than or equal to 3.09 we will buy insurance. If you look at the data, that will always happen.

    Sincerely,
    Cac

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