outhunt

In other words, for example, you mean if he wanted to hunt, he could outhunt, again for example, someone such as myself.

I'm just gonna outhunt 'im.

And since her name conjures up the Atalanta of Greek myth, we can assume that she will outhunt and outrace him, only to be outsmarted in return.

Among the mine-pits of the Aire, the various groups of miners each sought to develop a dog which could outfight and outhunt and outthink the other miner's dogs.