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The Time Management Problem

Posted By: Fabrice Liardet
Date: Wednesday, 13 October 2010, at 11:37 a.m.

Suppose that I am playing a match of (say) 7 points, without the cube and without gammons or backgammons, against a perfect opponent, with an allotted time of 13 minutes (the longest possible match being of 13 games).

Suppose, still for simplification, that I have to choose before each game how much time I will consume for that game, and that my error rate is a negative exponential of that time, i.e.

Lost GWC = C*e-at

where C and a are positive constants such that my error rate is always small.

What is my best choice of allotted time for the first game of the match ?

A) Less than one minute
B) One minute
C) More than one minute
D) Not enough info

Subsidiary question : If you answer D, thank you to provide me with the missing info.

Second subsidiary question : Do you think that Bob Koca has already carried over that computation ?

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.