I don't think your approach is applicable here, Paalikles since the number of players is not a simple variable in this equation (because, for example, two players don't make the game twice as fast - but that is not even the goal here).
From what I can tell the problem with most PBEMs is not that ppl don't want to play or totally lose interest, it's more about RL-issues interfering (holydays, family, job). If you can fill these gaps with backup players (for example), the game speed WILL increase -> and the higher the turn output per week is the higher is the interest in the game.
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