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The Chess Variant Pages

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Aberg variation of Capablanca's Chess. Different setup and castling rules. (10x8, Cells: 80) [All Comments] [Add Comment or Rating]
H. G. Muller wrote on 2008-05-03 UTC
Note that a Nash equilibrium in a symmetric zero-sum game must be the globally optimum strategy. If it weren't, the player scoring negative could unilaterally change its strategy to be the same as his opponent applies, and by symmetry then raise his score to 0, showing that the earlier situation could not heave been a Nash equilibrium.