Consider the following 3 x 3 simultaneous-move game ("3 x 3" means that both players have three pure strategies).
(a) Given that all you know about the game is the above game table and that a, b and c is that they are three arbitrary constants, find all strictly dominated strategies for the players (Hint: One strategic consequence of introducing mixed strategies to a game is that now a pure strategy can be strictly dominated by a mixed strategy, which is the case for one of the players in the above game.)
(b) Find all (pure-strategy and mixed-strategy) Nash equilibrium for the above game.