Thank you motörhead for your useful answer.

Firstly, when you said "one of the pawns is to be evaluated as "normal" and thus should be counted with the value 1. And only the second pawn on that certain file, the doubled pawn, should be counted with the lesser value", I agree with you, but the question is: which one of the two pawns is the "normal" pawn which should be counted with the value 1? and which one of the two pawns is the "sick" pawn which should be counted with a value of less than 1?

Secondly you said that the first f pawn and the first h pawn are each worth 1, which I believe is not correct. I think a pawn should be worth 1 only when it's connected. If a pawn is isolated, it should be worth slightly less than 1.
The first f pawn and the first h pawn are isolated. The second f pawn and the second h pawn are isolated and doubled.

Thirdly I don't think the value of the e pawn should be 1. It should receive a penalty for being isolated, and a bonus for being passed. And the bonus should probably be bigger than the penalty, so the e pawn should be worth slightly more than 1.



For the others who believe my questions are perfectly useless: if you don't like this thread you can just ignore it.
(I am not that stupid, I know that the value of every pawns and pieces are entirely dependant on the position.)
What I am asking for is somekind of average values of the pawns depending on if they are connected, isolated, doubled or passed.



What I am trying to figure out is, on average:
- What penalty should an isolated pawn receive?
- What penalty should a doubled pawn receive?
- What bonus should a passed pawn receive?

Chess is not a numeric game. Do not be fooled by computers. All such values are approximate and relative to many things. Pieces do not have individual value; they have a "group value" (Lasker) dependent on their placement. All mathematical questions of this type have no exact answer. There are some rough equivalences--a bishop can usually draw three pawns in the endgame--and some principles--a center pawn is usually worth more than a wing pawn in the middlegame; that is all.

How many times better is chocolate than guacamole? I need an exact mathematical answer.

Bibs wrote on 08/24/14 at 11:50:03:



Come on folks. That's just loathy. What's on with you both?!
Do you have to much time to waste in a boring job or why are you picking on someone just posing a question here?
If you're not willing to communicate in a constructive way just stay away from the thread. But do not behave like Statler und Waldorf from the Muppet-Show...

Marc Benford wrote on 08/24/14 at 01:13:49:


You know that the simple evaluation of a pawn with the value 1 is the absolutely primitive way of measure. Letting off other informations. For example an isolated Queen's pawn can both be strong and weak. Just depending on the very position of the pieces.
But okay. Let's look at in this most primitive sense of evaluation.
I think a doubled pawn changes a position in so far as in a normal pawn structure (with one pawn on each file) it adds a second pawn to a certain file (through an exchange of pieces).
That should mean that one of the pawns is to be evaluated as "normal" and thus should be counted with the value 1. And only the second pawn on that certain file, the doubled pawn, should be counted with the lesser value.
There is no reason to evaluate both pawns with lesser value, as one of the doubled pawns shows absolutely normal strength in the sense of pawn play. 

Marc Benford wrote on 08/24/14 at 01:13:49:

Well it depends how you look at it. In the striktest sense - no other pieces on the board - I don't know how Berliner would get it disolved in a senseful way. With Black showing best play White will no be able to un-double his pawns (without giving away one) in either situation.
But add a king an the fight against a6-b7 will be easier than against b7-c6. But then we are in endgame theory an it all depends on the very positions of the kings.
Add even more pieces and it will become most unclear. If you have a normal pawn majority for Black on the other wing (not shattered or doubled) the verdict may simply be that exchanges to a pure endgame would prefer Black...

Marc Benford wrote on 08/24/14 at 01:13:49:


In the primitve sense of countig the normal f-pawn is worth 1, the second f-pawn, the doubled one, shall be worth 0,5 acc to Berliner. In the very situation the f2-pawn is inexchangeable. How should Black proceed to get him off? 

Marc Benford wrote on 08/24/14 at 01:13:49:

If you take the primitive way to count and evaluate, then the value should be 1. In more complex terms of piece power pawns on the a- and h.files have lesser value, as they are only one armed. They can only exchange towards the center (e.g. h2xg3) but not to the rim (h2xi3...)

Marc Benford wrote on 08/24/14 at 01:13:49:


If you take the primitive way to count and evaluate, then the value should be 1 in both cases. The real strength and value depends absolutely one the pieces you add to the scene.

Hello.

I do not understand the second third of the "Hans Berliner's system" section of the Wikipedia article "Chess piece relative value":

http://en.wikipedia.org/wiki/Chess_piece_relative_value#Hans_Berliner.27s_system

Quote:




Could you explain me precisely how much is each pawn worth?




Quote:
Are both the b2 pawn and the c3 pawn worth 0.75 each? Or is the b2 pawn worth 1 and the b3 pawn worth 0.75? Or is the b2 pawn worth 0.75 and the b3 pawn worth 1?




Quote:
Are both the b2 pawn and the c3 pawn worth 0.5 each? Or is the b2 pawn worth 1 and the b3 pawn worth 0.5? Or is the b2 pawn worth 0.5 and the b3 pawn worth 1?




Quote:
I didn't quiet understand that. Could you show me this concretely with moves?




Quote:
And how much is the f3 pawn worth? Is the f2 pawn considered as an isolated exchangeable pawn or as an isolated inexangeable pawn?




Quote:
So the h3 pawn is worth 0.33. But how much is the h2 pawn worth?




Extra question:

On the following diagram, how much would the e4 pawn be worth? I only need an approximation. (You can imagine that it is a late middlegame with also two or three pieces for each side, plus one King for each side.)



And what if it was on e3 instead?




Thanks in advance for your answers.