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Sure, it is fair theoretically, but how about empirically? Does the game tend towards equality, or are things more skewed by this flipping? My contention is that the game tends toward inequality, because the first few moves, if they give advantage to one player, that advantage will not be reversed because they have the initiative. Even if an equal amount of extra moves are given to the other player, it is worth less because it comes later. To equate the first advantage, it would require more consecutive moves which are less likely to occur. Then again, positions can make moves more useful at certain times which mediates bias. To what extent I am not sure.