Consider a game of simultaneous moves between two players. Each player can choose between the same set of two actions: Action 1 and Action 2. The payoffs are (1, 0) if both players take the same action, and (0, 1) if they do not take the same action. a. Write down the payoif matrix of the game and nd the best responses of each player to every possible action of the other player. (I mark) Is there an equilibrium in Dominant Strategies? (1 marks) b. Find all Nash Equilibria in pure strategies, if they exist. (I mark) Is there a Nash equilibrium in mixed strategies? (I mark)