As an aside, once we had an encounter with a goblin on a worg, and me on my horse. The goblin fled and shot at me, but my horse was faster, so I chased after it and reached it (shooting an arrow as I went). Then on the goblin's turn it ran away again, and I had to chase after it again. It was a really odd initiative sort of thing to have him go a long distance, then have me be far enough away that I could get fireballed and he wouldn't be hurt, and then to have me get up to him again.
If nothing else, there should be some concept of momentum in the game. If you're double-moving in one direction, the next round you should not be able to move backward or sideways without some sort of Dex check or something.