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Subject: Re: A pondering idea... [a more clear {hopefully} example]

Author: J. Wesley Cleveland

Date: 09:10:58 09/28/01

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On September 26, 2001 at 21:45:46, Robert Hyatt wrote:

>
>Here is the problem..   I had to explain this to Komputer Korner a few years ago
>as well...
>
>If you correctly predict your opponent's move at least 50% of the time, or
>more, then the way we currently ponder can _not_ be improved on.
[snip]

This all assumes that saving time is linearly equivalent to playing better,
which is not true. A simple counterexample is asymmetric time limits, e.g. you
have 1 second to move and your opponent has 1 day to move. If you ponder only
one move, you will often make a bad move when you do not predict correctly.
More relevantly, when you are pondering a move past the time when you would move
instantly, you are no longer saving time by pondering that move more deeply, and
the question becomes: Is the increased probability of choosing the right move by
pondering more deeply more valuable than the time you might save if you pondered
another move ?



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