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Consider the case of exogenous differentiation in a Bertrand Model. There are two firms (1 and 2) with marginal cost equal to zero, and the following demands: Q1 = 1 – p1 + c p2, and Q2 = 1 + c p1 – p2, where c is a positive constant.
-Write the equation of the profit function for every firm.
-Find the equation of the best response function of every firm
-Find the Bertrand-Nash equilibrium.
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Consider a market with only two firms. Demand on this market is given by D(p) = 20 – 3p. Initially both firms have the same constant per-unit cost c1 = c2 = 2. What is the equilibrium in this market if firms behave as Bertrand competitors? How much d..
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