Why do some players offer draw when I almost win the match

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EKAFC

This usually happens more so if they make a bad move and I instantly punish it. I just calmly decline it and most of them will resign. Some will waste all their time but it's not my problem that you made a mistake. 

xor_eax_eax05

 Because they are garbage players who hope you will make a mistake and click "yes", and they will earn a draw even though they got completely outplayed. 

 It's the same with the people who shuffle their lone king back and forth, hoping you will disconnect / make a mistake so that they can earn a win on disconnect or a draw by stalemate.