SevenSidedDie and myself came up with a quandary concerning Mounted Combat, or any mount at all, actually. When moving while riding, a mount that has been trained to take a rider or is otherwise pacified into accepting a rider one of two things may happen:
The Mount acts on your initiative count and can only take 3 actions: dash, disengage, and dodge. It can also be commanded to move (for free of course since movement is just something that happens and takes no sort of action to complete).
The Mount may act on its own separate initiative count, but it acts of its own accord and may act unpredictably, moving where it wishes and attacking targets if it wishes (which it can't do if you chose to command the mount instead).
That's straight from the rules and isn't controversial. The issue is, how does movement work in each scenario?
Scenario 1: Does the mount, since it's moving on your same initiative count and moving only because you are controlling where and how it moves, move in place of the characters movement? Or can the mount move its full speed, the character may dismount, and then move its full speed as well?
Scenario 2: Does the mount, since it's moving of its own accord and on a separate initiative than the character, move unpredictably of its own accord, and then you may move as well once your initiative count arrives?