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Chess Variant Suggestion

'Family Chess': Rules are like normal chess, except each player needs to have at least one of each piecetype, aka at least one king, one queen, one rook, one bishop, one knight, and one pawn. Otherwise he is mate. Requires changes to the is-mate function and is-stalemate-function (or whatever the name of these is), nothing else, if i am right.
Very popular variant. It is much better known as 'extinction chess'.

Also no, you are not in mate if you run out of pieces, it is simply a variant ending condition which is that... you lost all your pieces. :) Just like 'king in the centre' is not mate in King of the Hill.
btw i dont like the name 'Extinction chess'. How about 'citizen chess' ('democratic chess' sounds too boring)
I have seen two versions of communist chess ( in caricatures ):

simple version:

- all pieces are pawns

more subtle version:

- all pieces are as in normal chess just kings, queens and bishops are missing ( as they belong to feudalism, lol )

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