Bauglir
First Post
Personally I would ask for an inital balance check (difficult but not impossible - depends on the dragon (I like stylish maneuvers like this, but that doesn't mean they should be easy mind you
)) as you would initially appear standing on the dragon's back. Success assumes you managed to drop to a more stable 'riding position'. Failure means falling.
After this I would allow the dragon move-actions-that-can-be-taken-during-a-move (like drawing a weapon) to attempt to throw you off. These I would represent by opposing the dragon's Escape Artist against the rider's Ride.
Also any attempt to cast a spell from the dragon's back would require a concentration check, any attempt to swing a weapon would require a ride check. (DC would be lower than the initial check as the rider will be stabler at this point)

After this I would allow the dragon move-actions-that-can-be-taken-during-a-move (like drawing a weapon) to attempt to throw you off. These I would represent by opposing the dragon's Escape Artist against the rider's Ride.
Also any attempt to cast a spell from the dragon's back would require a concentration check, any attempt to swing a weapon would require a ride check. (DC would be lower than the initial check as the rider will be stabler at this point)