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For this current week in this city, Papa's Burgers has 27.6% of the burger market; McDuck's has 32.9%; and The Burger House has 39.5%. The typical customer of these restaurants eats at one of them once a week. Each week some portion of the customers might switch from their previous restaurant to one of the other two. Based on previous data, the probability of a Papa's customer staying with Papa's is 90%. The probability of Papa's customers switching to each of the other two restaurants is 5%. McDuck's customers remain loyal 91% of the time with 6% of McDuck's customers switching the next week to Papa's, and 3% to The Burger House. The Burger House has very loyal customers. Only 6% switch away from them, 2% going to Papa's and 4% to McDuck's.
I got the distribution vector which is (starting from top of column of matrix) .276, .329, and .395


Determine the distribution of market shares over the next couple of weeks.

Determine the equilibrium vector for the distribution of market shares.
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