Consider the competition among three broadcasting stations on viewers by setting product types, Section 6.1.2. (a) Is

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Consider the competition among three broadcasting stations on viewers by setting product types, Section 6.1.2.

(a) Is there a condition under which the program-type choices pA, pB, pC  = 1, 2, 2 constitute a Nashequilibrium? Prove your answer!

(b) Prove that the program-type choices pA, pB, pC  = 1, 2, 3 constitute a Nashequilibrium under the condition specified in part

(c) of Proposition 6.5.

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