(a) Three telephone companies A, B, and C compete for customers. Each year A loses 5%...

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(a) Three telephone companies A, B, and C compete for customers. Each year A loses 5% of its customers to B and 20% to C; B loses 15% of its customers to A and 20% to C; C loses 5% of its customers to A and 10% to B.

(a) Write the transition matrix for the model.

(b) What is the limiting market share for each of these companies?

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