Matrix Theory

Matrix Theory

Two equally competitive pet shops want to locate stores in Lake Tahoe, where there are currently none. There are three main business centers. Tahoe City serves 10% of the population, Incline Village 59%, and South Lake Tahoe 31%. If both shops locate in the same center, they split all the business equally, if they locate in different centers, they each get all the business in the center in which they locate plus half the business in the third center. Where should the pet shops locate? Set up a game matrix and solve.

Tahoe City Incline Village South Lake Tahoe
Tahoe City 50% _____% _____%
Incline Village _____% 50% _____%
South Lake Tahoe _____% _____% 50%
Matrix Theory

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