At What Rating Do Players Stop Blundering Pieces?

I think it's 1830 FIDE. dropping a piece above that rating happens to players that are outliers.

Blunders where you lose a piece are different for different levels of player.

For a newly learned chess player, pieces left totally en prise with zero compensation, is a blunder.

As you get stronger the blunders become 2-move, 3-move, and more tactical blunders. 

Players over 1500 can def still hang pieces in a 1-move en prise shot, but it's usually because their opponent has so much pressure with the position that by the time they're working out defenses to looming mate threats, multiforks, discovered attacks, it's easy to miss the 'duh' pieces en prise. 

Without that positional pressure though, I never even saw 1100 level UCSF players leaving pieces en prise for free. (With applied positional pressure, yes, they do.)

http://www.chessgames.com/perl/chesscollection?cid=1011609

Even Karpov hangs pieces!
L Christiansen vs Karpov, 1993 
(E12) Queen's Indian, 12 moves, 1-0

This one is even better.

Hung his queen!
Petrosian vs Bronstein, 1956 
(E66) King's Indian, Fianchetto, Yugoslav Panno, 36 moves, 0-1

Yeah, Deep Fritz. He missed a mate in one. As I recall, he said afterward he was burned out from playing so much; took a break from playing for awhile. 

I think it's exceedingly rare for players over 2000 to blunder pieces/miss mates. For a lower rated player--speaking from personal experience--it's not all that rare. 

Never

That was a basic tactic, not hanging a piece.  When we say a piece is hanging, it means that the opportunity existed to remove the piece from danger, but the player left it en prise.

Good example.  However, how long had it been since Petrosian hung a piece?  Reread my the thread-starter. 

never

First, I am the original poster.  Second, reading the actual thread-starter can be helpful: How strong is a player when they are able to say, "I haven't hung a piece or allowed a one-move mate undefended in years."

That'll depend on how often a player plays, who they play, and how consistent they are. I'm guessing that if a master plays enough games, they'd likely hang a piece or miss mate in at least one of their games (which can easily happen when their position is under severe pressure or if they're in time trouble).

On the other hand, a 900 can likely claim they never hung a piece in years if they're consistent, usually plays against weaker opponents, or don't play in many tournaments.

Milliern

I guess that whoever made up the list defines hanging a piece differently than you do.  Anyway, who cares?  Just looking at the outright mistakes that the big boys have made is amusing.

Petrosian couldn't honestly say that he hadn't hung a piece in years until 1958 (or to be precise, between 1956 and 1958).