Final answer:
In The Princess Bride, Inigo Montoya's want is revenge, but his need is closure. Westley wants to rescue Princess Buttercup and needs to overcome his weaknesses. Fezzik wants friendship and needs a sense of purpose.
Step-by-step explanation:
Inigo Montoya:
One important want for Inigo Montoya is revenge for his father's death. He spends years seeking the six-fingered man who killed his father and wants to avenge his dad's death. However, his important need is closure, which he realizes he needs after finally defeating the six-fingered man. In the film, Inigo Montoya's character is changed by his need for closure, as it brings him peace and a sense of purpose.
Westley:
Westley's important want is to rescue Princess Buttercup from the clutches of Prince Humperdinck. Throughout the film, he overcomes numerous obstacles and fights against the odds to achieve this want. However, his important need is to overcome his weaknesses, specifically his inability to defend himself. After being captured and tortured, Westley discovers his inner strength and becomes the Dread Pirate Roberts, which allows him to rescue Princess Buttercup successfully.
Fezzik:
Fezzik's important want is friendship, as he is often treated poorly due to his size and strength. He longs for companionship and someone who understands and appreciates him. His important need is a sense of purpose, which he finds when he becomes a part of Westley's team to rescue Princess Buttercup. Fezzik's involvement in the mission gives him a sense of belonging and allows him to channel his strengths in a meaningful way.