A. Prove that there does not exist a pure strategy Nash equilibrium for this game. B. Solve for the mixed strategy Nash equilibria in terms of the parameters. Consider the following game in normal form. Completely characterize the set of correlated equilibria for this game. Explain your answer.
Firms compete to sell some homogeneous good.
There are N firms and Q consumers. Consumers purchase the good from the firm with the lowest price, splitting equally among the lowest-priced firms in the event of a tie. Prove that a pure strategy Nash equilibrium does not exist. Compute a symmetric mixed strategy Nash equilibrium. B. Derive the normal form of this game.