I've never let it bother me if someone wants me to mate them, that is after all the aim of the game. I guess the solution is to get a higher rating so that they can trust that you wont make a mistake in finishing it.
Resigning
I agree with Estrogen -- people are allowed to play to the end if they want. Resigning is just a way to avoid wasting time.
There is no "etiquette" to resigning and NEVER HAS BEEN. It is entirely voluntary on the part of the player who wishes to concede.
What is rude is to berate an opponent to resign. This is an antisocial trait common amongst those raised by prostitutes and thieves, who often suffer from deep-seated feelings of inadequacy and inferiority (mainly because they are inadequate and inferior).
If you don't wish to play a game out to checkmate, or to a legal draw or bare Kings, then don't play at all. You have no right, privilege, or expectation of anything else from your opponent.
[Note: this is not directed against the OP, who is merely asking the question (although he could have searched the topic and found it discussed before), but at those who feel entitled to their opponent's resignation when they believe they have a won game].
This actually makes a lot of sense.. I never thought about it that way. Ironically, my father was in jail for most of my childhood for larceny and my mother had to support us through prostitution. I guess I should probably talk to a shrink about this, sorry. :/ Thanks for the insight!
It seems that some people think it is rude to resign a game, which I've always understood as basic chess ediquitte (if you are actually, definitivly losing, that is.) I find it quite odd that some people will actually play out elementary mates. While perhaps a bit vindictive, sometimes I'll make as many non-drawing moves (i.e., avoiding repetition, stalemate, and 50 moves without a pawn push or capture) in as much time as possible until the opponent resigns to resigning. Anyone else have this experience?