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Capablanca's chess. An enlarged chess variant, proposed by Capablanca. (10x8, Cells: 80) (Recognized!)[All Comments] [Add Comment or Rating]
H. G. Muller wrote on Wed, Oct 4, 2017 08:21 AM UTC:

My tentative estimates for the piece values in this variant would be: P=1; N=3.625; B=3.75; R=5.5; A=8.375; C=10.125; Q=10.25 and the fighting value of the K=3.2 (though it naturally cannot be traded).


The piece values of Capablanca Chess have been measured with quite good precision. Like in orthodox Chess the Bishops do not have a single value, but have to be differentiated in 'first Bishop' (i.e. a lone one) and 'second Bishop'. This can also be expressed as a base value and a pair bonus. In orthodox Chess the base values of B and N are equal (3.25), although the B-N difference is slightly dependent on the number of remaining Pawns. (Strict equality is achieved for 5 Pawns). The pair bonus is then 0.5 Pawn.

On a 10x8 board the base values of B and N already differ by 0.5 Pawn, and the B-pair bonus just adds to this. This makes BB vs NNP an almost perfectly balanced trade, while in orthodox Chess the player with the remaining NNP would have a clear advantage, about as large as the Bishop side would have after a BB vsn NN trade. A Bishop profits from wide boards, probably because those enhance the chances that both its forward moves hit the enemy camp. In Cylinder Chess the Bishop gets even closer in value to the Rook (4 Pawns + bonus vs 5).

In your tentative estimates the Q-C difference is too small (it is 0.5 Pawn; CP vs Q is as large an advantage as Q vs C), and a the Q-A difference too large (not accounting for the fact that AP has the upper hand over Q, by about as much as C has over A).