(Variants of the Stag Hunt) Consider two variants of the n-hunter Stag Hunt in which only m hunters, with 2 m < n, need to pursue the stag in order to catch it. (Continue to assume that there is a single stag.) Assume that a captured stag is shared only by the hunters that catch it.

a. Assume, as before, that each hunter prefers the fraction 1/n of the stag to a hare. . Find the Nash equilibria of the strategic game that models this situation.

b. Assume that each hunter prefers the fraction 1/k of the stag to a hare, but prefers the hare to any smaller fraction of the stag, where k is an integer with m k n. Find the Nash equilibria of the strategic game that models this situation.