Pacman

(a) In pacman game (pacman, ghost, food, power pellets), what are the maximizers and minimizers?

(b) How would you evaluate an intermediate state?

(c) What if ghosts dont play optimal, will the minimax strategy always be the optimal strategy? Why?

(d) If the ghosts play random and the pacman KNOWS that, can you find a strategy for pacman better than the minimax? If yes, please give the strategy and an example game tree, otherwise please state why.

(e) If the ghosts play random but the pacman DOESNT KNOW that and plays optimal, will the minimax strategy GUARANTEE a better outcome for pacman than the outcome when the ghosts play optimal? why?