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Chess with Different Armies. Betza's classic variant where white and black play with different sets of pieces. (Recognized!)[All Comments] [Add Comment or Rating]
Aurelian Florea wrote on Mon, Sep 24, 2018 11:52 AM UTC:

I wanted to notice something in HG's old results.

I see the CC and the NN are balanced against each other but the CC behaves quite worse versus the RR (10%). So it seems same small but not insignificant rock-paper-scisors effect is taking place. This could be due to a possible need (I mentioned a long time ago in the different context) of a concept of multidimensional piece values. But it is probably more than that if any such thing is possible? The NN are a "pressure" army as they have more forward moves and the RR are usually slower as they can't turn a corner that easily. This seems a reduction of the weakness of the NN. On the other hand CC has the strategic weakness that it can be twice impaired by te lack of an counterpart of the other color bound piece.. RR can profit more easily from that as because of it slowness weakness it is a more strategic army herself. The NN don't have time for such debates. They need to "act" so they can't profit out of it.

Such lines of reasoning are most likely usefull but I can't pinpoint why I'm a bit uncomfortable with the idea of studying it exactly here. Maybe the game dimensions.