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Aberg variation of Capablanca's Chess. Different setup and castling rules. (10x8, Cells: 80) [All Comments] [Add Comment or Rating]

💡📝Hans Aberg wrote on Thu, Apr 24, 2008 08:23 AM UTC:

H.G.Muller:
| Well, this is basically how I got the empirical values I quoted. Except
| that so far I only did it for opening positions, so the values are all
| opening values. But, like I said, they don't seem to change a lot during
| the game. For the complete list of exchanges that I tried, see
| http://z13.invisionfree.com/Gothic_Chess_Forum/index.php?showtopic=389&st=1

There might be some problems here: For the classical piece value system, basically, what one gets is determining balance when the position is positionally equal and when both players play 'correctly'. By contrast, you take a statistical approach, and as you say for opening positions. The classical piece value system depends on a deeper analysis; perhaps the statistical approach can serve as a first approximation.

So the approach I suggested is to find a set of end-game positions where the outcome is always a draw or always a win, with extreme positions excepted. This might produce different values. In this setup, it is not possible to set values as exactly, as equal material means 'always result in draw for the positions considered'; perhaps it leads to only integral values, as a fraction pawn value cannot be used to decide the outcome of games. The fractions might be introduced as position compensations, like in orthodox chess reasoning, for example 'the sacrificed pawn is compensated by positional development'.