1 vs. 1 games online question...

does anyone play online where it is just you vs one other player in a game where it takes at least 15 minutes to finish a game?sometimes it can go on for over an hour if the players are good?well, how often does your oppt just quit after they start to lose?even after playing an hour ive had people just quit as soon as they start losing and it doesnt even count as a loss...wtf...maddening....

i can see why these games arent as popular and why they never made a monopoly thats playable online..

 What broke ass game are you playing that leaving after an hour of play doesn't give you a loss?