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People who continue to play after blundering a queen in the opening: WHY?

This happens to me from time to time and annoys me to no end. An opponent blunders a queen or a rook by move 16, yet continues to play, and the game drags on till move 40. This, of course, speaks volumes about my chess skills as I usually fail to find a mating sequence. I could understand it if they did it in blitz, but they do it in 10+15 games. I could understand it if they had some kind of counterattack but no, they continue to play dead lost positions. Why waste everyone's time, just ... why??

Example games:
ru.lichess.org/a0m7vwNp/black
ru.lichess.org/BX0jwFLC/black
ru.lichess.org/uPt7M5Rg/white
ru.lichess.org/vZeR2FHo/white
ru.lichess.org/54C80VGP/white
@inversed

I think the rationale is precisely that, to annoy you into blundering. In GM levels, its quite unsportsmanlike to keep playing after blundering your Queen (hey it does happen).

In lower levels, people usually put up a stubborn defense, steal a couple of pawns and solidify their position in hopes that you do a desperado attack move that ends up biting you.

I usually make a sandwich if the time controls are long, read a novel. ;)
As always, it's up to you to refute your opponent's opening, position, etc. Even when you're a queen or rook up.
When I am a queen up against someone lower rated than me or even higher rated for that matter (maybe not FM/GM/IM strength). It is quite rude to play on. I beat Komodo a queen up on several occasions so its not like its hard. Resigning is the nicest thing you can do. Though it is legal its not really polite. If you have lets say two pieces for a queen or a rook and a piece do indeed play on. It helps to gain experience defending those kinds of positions and should improve your chess if you take it right and don't get too sore about it.
If they did this in 100 games and lost 100 times then they are very foolish. If they did it in 100 games and lost 90 then they are foolish. If they did it in 100 games and lost 70 they are a little overly optimistic . If they did it in 100 games and lost 50 then it would be reasonable for them to continue. Perhaps they have won enough against players of equal or lower rating even when blundering their queen or rook.
Perhaps they have a poor understanding of the likely outcome. There could be an element of stubborn refusal to accept that they blundered. There could be an element of irritation and wanting punish to inconvenience the opponent as punishment for the situation. Maybe they are just rude individuals with no manners. If I blunder a major piece then I make a judgement about the likelihood of me winning. I take into account factors such as how well the opponent is playing, how well I am playing, what the opponent's rating is and what the position is. That, is although I am a piece down, I may be in a great position and could regain material then force a win or a draw. It's not a decision that I mull over for more than 10 or 15 seconds and I mostly know when it's pointless and insulting to carry on. Often after I blunder a piece, I resign because I think I don't deserve to win and I don't like to drag the game on with little hope of victory.
@droceretik, I disagree. I would never resign a position with any realistic chance of not losing, at least in a serious game; a 10% chance is more than enough for me. If an opponent can't have a higher winrate than that a queen up, they can't expect resignation. 30% is definitely not "overly optimistic"; giving up when one would at least draw almost a third is just foolish, at least in rated/tournament games.
Forcing yourself to focus, find the best move on each turn, and maximize your resources in a losing position is a great exercise.
I get a little bit annoyed when that happens, but you have to learn to get the fun of it.
Possible things to annoy them back:
1) Don't rush. Most important. Don't think that winning a queening equals winning the game. You get much easier game, that's it. Also, some people get really skillful and inventive when they are down material, so you have to stay alert. Take your time, prevent any kind of counter-attack. If your opponent starts moving really quick, don't hurry with your moves back, I'm sure it's annoying to wait to be killed :)
2) The nicest tactics is at your disposal when having such huge material advantage. Find cute tricks or mating ideas.

Converting the advantage is very very important against a-class players and higher. The stronger the opponents you get the more resistant they'll be.

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