Red Prince
Posts: 3686
Joined: 4/8/2011 From: Bangor, Maine, USA Status: offline
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While I've been listening to the discussion, I went down through every last potential USE roll so far in the game, and here are the year by year results: ----- A/B = Expected/Actual chit draws The first line in each sequence is Ge/It, the second is Ja, and the 3rd is the combined values 1939 is based on an average chit value of 2.333444 1940 is based on an average chit value of 1.789041 ----- 1939 Total Chit Selections 4.5/5 Values: 1, 1, 3, 3, 3, 4, 4 / -1, -3 3.8/6 Values: 0, 1, 2, 4, 4, 5 8.3/11 Values: 0, 1, 1, 1, 2, 3, 3, 3, 4, 4, 4, 4, 5 / -1, -3 Average Value of chits drawn: 2.69 / -2 Total Value of chits drawn: 35 / -4 = 31 Expected Value of chits drawn: 30.33 / -4.67 Expected Value of Expected chits drawn: 19.37 1939 Total Tension Chit Moves 1.5/2 Values: 3, 4 1/2 Values: 1, 4 2.5/4 Values: 1, 3, 4, 4 Average Value of chits moved: 3 Total Value of chits moved: 12 Expected Value of chits moved: 9.33 Expected Value of Expected chits moved: 5.83 1940 Total Chit Selections 9.7/8 Values: 1, 1, 1, 1, 1, 1, 2, 3, 3 / -1 7/5 Values: 1, 1, 1, 2, 3 16.7/13 Values: 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3 / -1 Average Value of chits drawn: 1.57 / -1 Total Value of chits drawn: 22 / -1 = 21 Expected Value of chits drawn: 25.05 / -1.79 Expected Value of Expected chits drawn: 29.88 1940 Total Tension Chit Moves 1.6/1 Values: 4 1.2/1 Values: 5 2.8/2 Values: 4, 5 Average Value of chits moved: 4.5 Total Value of chits moved: 9 Expected Value of chits moved: 3.58 Expected Value of Expected chits moved: 5.01 ----- 1939-40 Ge/It Expected Values of Expected chits Drawn: 27.8541957 Ge/It Expected Values of Expected chits moved: 6.3626316 Ja Expected Values of Expected chits Drawn: 21.3903742 Ja Expected Values of Expected chits moved: 4.4802932 If everything had gone "as expected", these should be the current numbers: Ge/It Entry: 40.7 Ge/It Tension: 11.8 Ja Entry: 36 Ja Tension: 9.9 . . . except that a different set of decisions would have been made by the USA. The key here is that Tension grew much much faster than it should have. I think looking at 1940 proves that the actual chit draws tend to even out over the course of the game, but if Tension builds quickly enough, the USA can get the production schedule going that much faster. ----- If you think this looks wrong, or if you think I've screwed something up somewhere, I'd be happy to post the entire file I used to make these calculations.
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Always listen to experts. They'll tell you what can't be done and why. Then do it! -Lazarus Long, RAH
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