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Ughh, scratch the last sentence

Posted By: Fabrice Liardet
Date: Friday, 15 October 2010, at 9:29 a.m.

In Response To: Ughh, scratch the last sentence (Casper van der Tak)

Yes, that is the point. With a large C, one can trick the formula by reasoning that one would have a 0% GWC instead of a negative number. But that is my bad, instead of handwaving that the ERs had to be "small", I should just have set C<=0.5 and that would have avoided the problem altogether.

Or even better, allowed the ER to be any function [0,13]->[0,0.5] which is strictly decreasing, and whose first derivative is strictly increasing (ER'<0, ER''>0, there was a typo in my answer to Bob, I missed that the first derivative was negative). This seems enough to ensure that if two games are of the same importance, then the minimum ER is attained by spending the same time on both games.

With the above condition in place, I maintain that Bob's argument kicks ass.

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.