Consider a variant version of the Bertrand model we learned in class. Two firms

compete through price and the demand function is D(p) = 100 p when p < 100

and 0 when p 100. Each firm has the same constant marginal cost and 0 fixed

cost. Specifically the cost function for both firms is C(qi) = 10qi. Suppose the

price chosen by each firm can only be an integer. For example, a firm can choose

23 or 14 but not 15.3. Is (10; 10) still a Nash equilibrium of the game? Is there

any other Nash equilibrium?