Problem
Consider a Hotelling Game with 5 homogeneous firms. Customers are uniformly distributed on the interval [0, 1] and each customer goes to the firm closest to his own location. If firms are located in the same spot, they share the customers evenly. Firms choose their location to maximize customers.
How many Nash equilibrium(/ia) does this game have? Enter your answer in the box below.
For example, if you think there are 2 Nash equilibrium, enter 2 as your answer.
If you think there are infinitely many Nash equilibrium, enter 999 as your answer.