# Worth of a piece in time

Let us say that two players are playing each other. The are supposed to be in the same level (You can take that as an equal longtime ELO). They might be playing blitz, or rapid. But suddently, one of them blunders a pawn. Too bad. But the guy with one less pawn has more time. Is he compensated?

So to clear this out:

Is there a formula, supposing that the pieces have the following values:

• Pawn - 1
• Knight/Bishop - 3
• Rook - 5
• Queen - 9

And that there is a time difference between both players.

Regarding all factors, so remaining time for both players, increment, is there a formula that calculates what a piece is worth in time?

Increment will be a very important factor to consider. Because increment can save you if you have a very small amount of time.

Also the results cannot be precise to the maximum. We will suppose that the position would be equal if the lost piece was suddenly there. So 0.00.

EDIT:

In the comments it was noted to me that a passed pawn position could be fatal. So I am adding this condition:

The position will be valued by an computer program as 1.00 if a pawn is lost, 3.00 if a knight/bishop is lost, etc. This is to limit the search to games where the win is still unclear.

• Are you asking, “How much is a second of time on the clock worth in terms of pawns?”
– Nick
Sep 6, 2014 at 13:31
• As I said, if there was a pawn in an appropriate position, the position would be drawn. Maybe we can limit it to middlegame only. Sep 6, 2014 at 15:15
• I don't think this question is answerable. It's not possible to relate a pawn to the number of seconds on a clock. Sep 8, 2014 at 3:11
• A possible answer vector: Get a computer to play itself, one side down a pawn up N minutes in time, and see for which value of N the advantage swings toward the side with one pawn. (It's probably more like the ratio than the absolute difference, but you see the point). A similar experiment could be done with humans if you had the time data, but the computer version seems like a good first approximation. Sep 8, 2014 at 18:16
• The comment you just made kind of highlights why this can't be answered. As the players get better, the time on the clock matters less and the pawn matters more. There is no one correct answer. Sep 8, 2014 at 22:04