Consider the scheduling model of Section 6.1.1 with three broadcasting stations labeled A, B, and C, facing 3η potential viewers whose ideal watching time is 5 p.m.; η viewers whose ideal time is 6 p.m.; and η viewers whose ideal time is 7 p.m.

(a) Find all Nashequilibria in broadcasting time periods. Prove!

(b) Conclude whether Proposition 6.2 holds for this case involving a nonuniform distribution of consumers.