your right about game being used to much moo,think some people get it confused with keen lol
heres somthing copied of another site describing game
Game means the ability to a do a task when the odds are stacked against the animal. When a normal animal would quit, a game one will not. "Game" does not mean, aggressive, violent, etc. All it means is that an animal has the will to win against all odds, and never to back down. For game dogs or cocks it means to continue fighting when a normal dog "cur" would give up. Some dogs are good fighters and can often win before gameness