* Sound Length is Relative: How long a word sounds depends on how you say it, the context, and even the speaker's accent.
* "Game" has Two Syllables: "Game" has two distinct parts: "gay" and "m". This means it takes a little longer to say than a one-syllable word like "dog".
So, it's not a *short* sound, but it's not a *long* sound either. It's just about average.