To what extent do you identify with your character in a videogame?

How involved are you, personally, when you read a story or watch a film? How does that compare to your involvement in the videogame?
To what extent do you identify with your character in a videogame? Do you feel more connected to that character than you do, say, a character in a television show?
How does the ability to affect the direction of the narrative—choosing actions, paths, etc.—affect the way you view the story? Does the indefinite nature of the story help or hinder your ability to view it as a storytelling medium?

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