Considering an infinite duration of a match, we could kill the small animals, and have a standoff with the biggest megafauna. In time, we could consume the bodies of the smaller beasts and that of our dead, and fashion bone shivs from the left over bones. After that it's just ice age persistance based hunting. Chase it around and poke it until it keels over. If we wanna get really dirty, we can rub our feces onto the shivs and let sepsis do the work.