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Grandmaster Adorjan wrote 2 books on the subject of black's supposed
disadvantage due to the first move initiative. The first, 'Black is
Okay!' (published by Batsford in 1988), it is a book dedicated to proving
that Black has his full share of chances.  The second, recently published,
'Black is Still Okay' has the same objective and offers more proof.  I
have a copy of the first book and must agree with the grandmaster.

Adorjan's premise, is that “The tale of White's advantage is a delusion,
belief in it is based on mass psychosis.”

And I believe the current point scoring system is fine.  If your opponent
is 2200 rated and you are 1500 rated... I believe that you having white is
not going to be of much help.

A new scoring system would be grossly unfair as well.  For there would be
rounds inwhich players advance and neeed that extra point fraction offered
by a black win (under the new system).  Yet they are assigned the white
pieces worth less if they win.  Terrible.

Also, there is the ratings factor... now a win against Player X with Black
should get me more rating points than would a win against Player X with me
as White.  In effect, we'd need a black piece rating and a white piece
rating.  Again, Terrible in my opinion.

To offset the small white initiative, change not the point system, instead
increase your own playing strength.