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Here's a variation on Greg's idea that would work with non-inventors too.
Each participant signs up with a list of games he would care to play in a
tournament. This list may include large, complicated games, but it should
also include something at an entry level, similar enough to Chess that
someone who knows only Chess could still understand and play it with ease.
For each pair of players, each player would pick a game from the other's
list, and they would play each other at each game.