The players have the caller’s card and the caller has a player’s card. The cards the players are holding have all (and more) of the items on the card of the caller (let’s just call them the gatekeeper).
GAME OVER when all the items on the gatekeeper’s card have been crossed off. The gatekeeper also needs to be capable of deciding whether players were successfully able to call items, and of keeping a record of which items on the players’ cards have been called to check players calling items twice.
Players who call items on the gatekeeper’s card are Small Winners, over and above the reward they get for calling items.
This is perhaps an activity, rather than a game. Bingo is a receptive activity. ReReverseBingo is a productive activity.
See the perl script which creates ReverseBingo cards https://github.com/drbean/ttb/trunk/cards/bingo/bingo.pl
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