Consider the scheduling model of Section 6.1.1 and suppose that there are two broadcasting stations facing 2
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Consider the scheduling model of Section 6.1.1 and suppose that there are two broadcasting stations facing 2η 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. Let tA denote the broadcasting time of station A, and tB the broadcasting time of station B. Answer the following questions.
(a) Find all pairs of broadcasting times that constitute Nash equilibria. Prove your result.
(b) How would your answer change if the number of potential viewers whose ideal time is 5 p.m. went up from 2η to 3η? Prove.
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