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The opponent 2250 did not agree to a draw

Yes, correct(ly). Wouldn't you keep on trying against a lower rated opponent?

UPDATE: Here's the answer...

He was up 3 minutes on the clock against a player rated 500 points lower. He should not even consider accepting a draw.

In fast time controls, offering draws in positions that aren't trivial draws makes no sense to me. Why even start a game if you don't want to play in an equal position?
I mean you can actually use it as a psychological advantage as you know that he’ll avoid equal positions so you can try and trick him into doing something dubious. But yeah there’s really no need to accept draws at all unless its like completely dead, its online chess.
@HarshSaber said in #5:
> I mean you can actually use it as a psychological advantage as you know that he’ll avoid equal positions so you can try and trick him into doing something dubious. But yeah there’s really no need to accept draws at all unless its like completely dead, its online chess.

Of course, offering draws your opponent will never accept gives you a psychological advantage because it's annoying and might tilt your opponent. You can say the same about all kinds of irritating behavior though. I would argue it's poor etiquette.
@gEqualsPiSquared said in #6:
> Of course, offering draws your opponent will never accept gives you a psychological advantage because it's annoying and might tilt your opponent. You can say the same about all kinds of irritating behavior though. I would argue it's poor etiquette.

No i mean if he declined a draw then you can use the fact that your opponent, as the higher rated player, wants to win to your advantage by trying to make the position dry and therefore making his risks make less sense and give him a worse position

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