Persistence hunting (sometimes called endurance hunting) is a hunting technique in which hunters, who may be slower than their prey over short distances, use a combination of running, walking, and tracking to pursue prey until it is exhausted. A persistence hunter must be able to run a long distance over an extended period of time. The strategy is used by a variety of canids such as African wild dogs, and by human hunter-gatherers.
Humans are the only surviving primate species that practises persistence hunting. In addition to a capacity for endurance running, human hunters have comparatively little hair, which makes sweating an effective means of cooling the body. Meanwhile, ungulates and other mammals may need to pant to cool down enough, which also means that they must slow down if not remain still.
Persistence hunting is believed to have been one of the earliest hunting strategies used by humans. It is still used effectively by the San people in the Kalahari Desert, and by the Rarámuri people of Northwestern Mexico.
That's an absolute fair way of hunting an animal, not sitting in an air-conditioned 4x4 armed with a high-powered rifle waiting some clueless animal to amble past you within the confines of a fenced-in area.