Consider a Hotelling Game with three homogeneous firms. Customers are uniformly distributed on the interval [ 0 , 1 ] and each customer goes to the…

the interval [, ] each customer goes to the firm that the closest to his own location. If firms are located at the same spot, they share the customers evenly. Firms choose their location to maximize customers.Which the following statements correct? There a unique Nash equilibrium all three firms choose to locate at x = / There a unique Nash equilibrium at least one firm chooses  to locate at x = / Nash equilibrium does exist. There are multiple Nash equilibria.
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