I assume that by remise you mean to resign in a lost position. It's a standard part of chess. Many consider it to be good manners to resign in lost positions. Others, usually lower rated players, like to play until mate. Both are acceptable.
I figure that as long as you can learn from playing out a lost position then go right ahead. If there is nothing to be learned then it's just a waste of time and resignation is in order.
Maybe the person who is winning isn't that good in objectively asses the board position or has not enough time to play all the correct moves to win.
I assume that by remise you mean to resign in a lost position.
Remis = draw, in several languages.
My mistake then. Most of the definitions I found were related to giving up or relinquishing something or with surrendering.
People offer draws in losing positions because they don't want to lose.
I think it is common when a lower rated person plays (and is winning) against a higher rated player.
then it makes a lot of sense. the higher rated player minimizes his rating loss, and ends a game where he clearly blundered, and the lower rated player gets something to brag about without have to fight it out to the end (with the very real risk that he'll blow his advantage with a blunder and lose).
in other situations is doesn't make sense and is good perhaps only for the person offering the draw.
on a blitz/rapid internet game - it is the height of idiocy, but I have seen in nonetheless.
Why do people do that?