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The Time Management Problem

Posted By: Fabrice Liardet
Date: Thursday, 14 October 2010, at 7:53 p.m.

In Response To: The Time Management Problem (Bob Koca)

Great ! I thought I had the correct answer but had missed that simple piece of reasoning altogether. Maybe it would be required to notice that when playing 13 games, the order in which they are played is irrelevant.

Which means that I have probably overspecified the problem. Saying that the derivative of the error rate is a strictly decreasing function of time seems to be enough (so that E(t+h)+E(t-h)/2 > E(t)), and very likely to be true (the more one thinks, the less the added value of an extra second).

Which also means by comparison - and you obviously already knew that - that in a normal backgammon match, "more than one minute" is the correct answer, because of the possible overshooting in the last games.

Messages In This Thread

• The Time Management Problem
  Fabrice Liardet -- Wednesday, 13 October 2010, at 11:37 a.m.
  • The Time Management Problem
    Casper van der Tak -- Wednesday, 13 October 2010, at 12:03 p.m.
    • The Time Management Problem
      Fabrice Liardet -- Wednesday, 13 October 2010, at 12:53 p.m.
      • The Time Management Problem
        Casper van der Tak -- Wednesday, 13 October 2010, at 2:09 p.m.
  • The Time Management Problem
    Bob Koca -- Wednesday, 13 October 2010, at 1:44 p.m.
    • The Time Management Problem
      Bob Koca -- Wednesday, 13 October 2010, at 4:21 p.m.
      • The Time Management Problem
        Rich Munitz -- Wednesday, 13 October 2010, at 4:35 p.m.
        • The Time Management Problem
          Bob Koca -- Wednesday, 13 October 2010, at 4:59 p.m.
        • The Time Management Problem
          Bob Koca -- Wednesday, 13 October 2010, at 5:00 p.m.
        • The Time Management Problem
          Bob Koca -- Wednesday, 13 October 2010, at 5:06 p.m.
          • The Time Management Problem
            Rich Munitz -- Wednesday, 13 October 2010, at 6:49 p.m.
            • The Time Management Problem
              Bob Koca -- Wednesday, 13 October 2010, at 9:11 p.m.
      • The Time Management Problem
        Fabrice Liardet -- Thursday, 14 October 2010, at 7:53 p.m.
  • The Time Management Problem
    Gregg Cattanach -- Wednesday, 13 October 2010, at 3:18 p.m.
  • The Time Management Problem
    eXtreme Gammon -- Wednesday, 13 October 2010, at 8:40 p.m.
    • The Time Management Problem
      Fabrice Liardet -- Thursday, 14 October 2010, at 8:00 p.m.
      • The Time Management Problem
        eXtreme Gammon -- Friday, 15 October 2010, at 2:08 a.m.
        • The Time Management Problem
          Maik Stiebler -- Friday, 15 October 2010, at 7:53 a.m.
          • Ughh, scratch the last sentence
            Maik Stiebler -- Friday, 15 October 2010, at 8:25 a.m.
            • Ughh, scratch the last sentence
              Casper van der Tak -- Friday, 15 October 2010, at 9:11 a.m.
              • Ughh, scratch the last sentence
                Fabrice Liardet -- Friday, 15 October 2010, at 9:29 a.m.
                • Ughh, scratch the last sentence
                  Casper van der Tak -- Friday, 15 October 2010, at 9:36 a.m.
                • Ughh, scratch the last sentence
                  Maik Stiebler -- Friday, 15 October 2010, at 10:59 a.m.
                  • Ughh, scratch the last sentence
                    Fabrice Liardet -- Friday, 15 October 2010, at 12:26 p.m.
                    • Ughh, scratch the last sentence
                      Maik Stiebler -- Friday, 15 October 2010, at 5:23 p.m.
                      • Ughh, scratch the last sentence
                        Fabrice Liardet -- Sunday, 17 October 2010, at 6:17 p.m.
                • Ughh, scratch the last sentence
                  eXtreme Gammon -- Friday, 15 October 2010, at 12:40 p.m.
                  • Ughh, scratch the last sentence
                    Fabrice Liardet -- Friday, 15 October 2010, at 2:35 p.m.