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Anti-King Chess. Each player has both a King and an Anti-King to protect; Anti-Kings are in check when not attacked. (8x8, Cells: 64) (Recognized!)[All Comments] [Add Comment or Rating]
George Duke wrote on 2016-11-08 UTCGood ★★★★

Here is a CV with two Kings like Muller's example for negative-value piece.  In Anti-King win is by checkmate of regular King or removing check from other's Anti-King.  Two other CVs with two Kings are Two Kings Chess and Double Chess.

Both Aronson's Berolina Pawn version and Anti-King Chess II have strategy to keep the side's Anti-King in check. In AKC-I with Berolina note that Anti-King is initially attacked by four pieces checking, and it will take a while to get them "safely" out of the way. Anti-King Chess II may benefit from changing Anti-King move to Knight move only as subvariant.

How do these relate to negative values? That pieces may want to be removed, if possible, in end game in order to have no forces nearby to attack opponent Anti-King, but their over-all average value would be positive just taking on negative value at end. Player may just settle for checkmating regular King.

Fergus Duniho's insightful strategy for actual game played 13 years ago: Strategy, where few pieces were captured.