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Yes, but the possible input to a chess game is strictly limited - one player cannot just change the way a piece moves or introduce a new piece, and thus, it is not taken into account in any strategy. These sorts things must be taken into account when programming.

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This is how a chess player thinks. "Jesus, why did she play that? She must have seen something I've missed. Shit, if I had more time I'd be able to figure it out. Damnit, I'll just move my knight back, that way my king'll be safer. I'm sure there's a better move but I can't find it now, and I think my ass went to sleep."

Change a few words, and it's pretty much a typical thought process when coding for me.

Bughouse chess might fit the bill in this case. If you're not familiar, there are two boards with four players, with teammates playing opposite colors on each board. A captured piece on one board can be held in reserve by the teammate and played on any subsequent turn on any open square on the other board.

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