A Game (n.) is not made by wooden pieces standing on a board; we're like people who think it is, though nothing has been said about how they are to be used.
A Game (n.) does not just have rules; it has a point.
Game (n.) are compared by describing them: one as a variation of another, stressing their differences and analogies.
A Game (n.) that the first player always wins by a simple trick stops being a game once the trick is shown: we can no longer blindly try to win.
A Game (n.) can be invented, even one never played, only where similar games are already played: it needs a public.
A Game (n.) reveals something remarkable: people invent rules just for fun, and then keep to them.
A Game (n.) can be defined by rules, but never the game; permission and prohibition fix only one game among many.