6. Consider the game \"Rabbit, Carrot, Gun.\" There are two players. Each player chooses a strategy, either Rabbit, Carrot or Gun. If both players select the same strategy, they play again. If they choose different strategies, the winner is given by: 0 Rabbit vs. Carrot: Rabbit wins. (Rabbit eats Carrot). 0 Rabbit vs. Gun: Gun wins. (Gun shoots Rabbit). - Carrot vs. Gun: Carrot wins (Carrot plugs Gun, Gun explodes). Assume the winner gets a payoff of 2 and the loser gets a payoff of 0. In the event of a tie, both players get a payoff of l. a. Write down the matrix form of this game. b. Argue that there is no Nash Equilibrium in this game where the players do not randomize among the strategies. Hint: argue that for each of the strategy proles described above, at least one player would like to change its actions