You can conclude that the tamer will be eaten if the lion simply moves towards the tamer.
In traditional pursuit curves, the region in which the chase happens is unbounded. Here, this isn't the case.
The best that the tamer can do if the lion uses this strategy is to move away from the lion. If at any point he is unable to do so (i.e. when he hits a wall of the cage) then the distance shrinks.
Depending on the speeds at which they can travel and the size of the cage, the lion will either catch the tamer in a finite amount of time, or he will asymptotically approach the tamer.
In traditional pursuit curves, the region in which the chase happens is unbounded. Here, this isn't the case.
The best that the tamer can do if the lion uses this strategy is to move away from the lion. If at any point he is unable to do so (i.e. when he hits a wall of the cage) then the distance shrinks.
Depending on the speeds at which they can travel and the size of the cage, the lion will either catch the tamer in a finite amount of time, or he will asymptotically approach the tamer.