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In that case, initiative shouldn't be tied to perception or agility, even though they seem like the most obvious choices. These characteristics are already important for most, if not all, game characters. But it's also difficult to tie it to faith or beauty. Perhaps intelligence could be used somehow, which would also give warriors a good reason to consider increasing their intelligence. However, in my opinion, this shouldn't make the mages overpowered. In previous systems, they were generally quite weak. At least now they can spend their first turn on something other than just using a necessary defensive buff.