Fimbulvetr
Emperor
I honestly think the whole idea of being able to dismount and move further afterwards is flawed. If you drive 5km with a car, and compare that to moving 5km with same car and then getting out and walking another km, do you really get faster by walking? No, you might get further but it also takes a lot more time. You would have been able to get a lot further if you had stayed in the car and continued driving instead of walking.
If moving 2 tiles (= spending 2 movement points) takes you 1 turn while riding a horse, dismounting at the end should not enable you to move an inch further since you already used up that turn's timeframe.
The only possible option: if you move 1 tile (half your movement turns) and then dismount, you should still have 1/2 movement point left - because it took you half a turn's time to move 1 tile when your total movement points on the horse were 2, so after dismounting you have half a turn's worth of movement points left for the footsoldier.
If moving 2 tiles (= spending 2 movement points) takes you 1 turn while riding a horse, dismounting at the end should not enable you to move an inch further since you already used up that turn's timeframe.
The only possible option: if you move 1 tile (half your movement turns) and then dismount, you should still have 1/2 movement point left - because it took you half a turn's time to move 1 tile when your total movement points on the horse were 2, so after dismounting you have half a turn's worth of movement points left for the footsoldier.
. You probably are aware of it, but I thought I just mentioned it. Mounted Swordsman and Shortswordsman have different set of promotions. However, because I can dismount from horse, or mount a horse, I can have a mounted unit with melee's promotions, or a melee unit with mounted's promotions. It may gives slight advantage (mounted unit with anti-melee promotions and/or woodsman ability, or melee with flanking promotions). Unfortunately (or fortunately), AI won't have any idea of how to take advantage of these mount/dismount abilities.
but in a multiplayer game it gets interesting again 
