This site is a microcosm of the world at large, irregardless of "chess". Something to think about.
This site has a bunch of members that don't rematch.

@KingPinChess... Well saying well played or good game works both ways. You never said it either. When nothing is said there are two people involved. It's like the idiot at work who gets upset and isn't talking to you because you never said "Hello" in the morning. Well, he never did either ! He was so bent on waiting for you to say Hello that he forgot he could have initiated the greeting himself. Your comment doesn't make sense on another level. Why would someone who just scraped a win by the skin of his teeth, and then runs away as he knows he'll get beaten in a rematch, say 'Good Game'??? You must have played an awful game to lose to such a cretin... It's why you want a rematch to gain back the pride you've lost. So, telling you 'good game' in that instance would be even more offensive. But, all this can be easily solved: when you begin a game, ask your opponent for a best of 3. If he/she says 'NO!' then abandon the game before the first move. Simple. Only it's not so simple as you only want a rematch if you lose... You hadn't even thought so much about a second game until you had to resign in shame from the first. But, if you always ask for best of 3 prior to starting then you'll never be in that situation again. So, just ask next time and if the person says No then quietly leave witrhout playing at all. XSORTED. X

@Debistro... If you think the majority of people are content with being mediocre then you've not observed this world well enough to make such a judgement. The vast majority of people have no choice but to be mediocre as it's often a case of intelligence and we know by recent election results and referendums that at least 55% of people are plain stupid. And that's how it must be fr the world to work as it does. Imagine if everyone was as clever as you and I, we'd have no-one to clean our toilets or hold our cup of tea until it cools down. Very few people are great at anything, and it's not a choice. It's just genetics and hard drugs. FACT! X

@ ALL THOSE who would like REMATCHES: Simple Solution. Take control of the situation. Confirm your opponent is ready and willing and has time for a best of 3 match. If they don't or do not reply, leave without making a move. Only the truth is, YOU guys don't even know you want a best of 3 until you lose the first game! Have you ever won and asked for a rematch? Ever got annoyed after winning and your opponent left?NO. Because it's not about a good sporting rematch it's about losing and not being able tro accept it. But the simple solution is up above. Follow that very simple protocol and this issue is a dead duck. If the play7er wins the first game and leaves anyway, you've won, just as you would in any sport if the opponent leaves before the end of the match. Imagine if a football team scored a goal and then immediately vacated the pitch and ran home - you win by default. So this issue is now wrapped up: ask for a best of 3 before starting. X

@Geodesist213 (I took 3 points off your name for poor sportsmnship). An ego would be getting furiously annoyed at the injustice of being beaten. And I only ever play to lose, and it's how I lose that I'm most proud of. Winners usually have somethingterribly wrong with them... Kinda like careerists. Both have that vile moster inside of them which has brought carnage to this world so many times. X

@Bad_Dobby_Fischer... You seem like you've really had a meltdown due to losing. But here's a simple solution:
You say that you lost just by 1 second. So just play a second and a half faster next time and you'll win. You can't blame your opponent because your brain didn't work quite as fast as his/hers. If someone is that little bit smarter there's nothing you can do about it. X

There's no shame in being stupid.

There's no shame in being stupid.
Ask President Gump.

@Blueemu... That was precisely my point. I pointed out to Bad_Dobby_Fischer that it is a natural thing and you shouldn't be ashamed if your mind isn't quite as sharp as another man's/woman's. Well done for spotting the subtlety of my comment. X

@Estrinian... It is people like you screaming TROLL at anyone who says something you don't like who are responsible for the political mess Britain finds itself in. Do you also start screaming racist at someone if they don't like Christianity? It's exactly the same low kind of mentality that has everyone screaming Fascist and Terrorist aand Extremist at people with differing beliefs. But glad you've shown your cards. X

to be perfectly honest, alot of my bullet/blitz chess is done when im on the toilet, so if i play one game and im finished then its time to go.....

@Estrinian... It is people like you screaming TROLL at anyone who says something you don't like who are responsible for the political mess Britain finds itself in. Do you also start screaming racist at someone if they don't like Christianity? It's exactly the same low kind of mentality that has everyone screaming Fascist and Terrorist aand Extremist at people with differing beliefs. But glad you've shown your cards. X
They get the most responses.

@St trinian, please try to stay on topic. I know it's difficult for you , but you do need three miracles to reach real sainthood and that could be your first. X

@ohduckme... Yes, and you need someone to remove yours. It's possible that we'll both be cured one day... Maybe by the same person. Now go to bed and make sure you go to the toilet first.X
You all seem to misunderstand where the OP is coming from. Oftentimes I have found myself in the same position, where a person will just barely beat me and then abandon the game the second after it ends. No thank you, no good game, no nuthin! It's frustrating because at that point you know for a fact that they are simply too scared to lose to you. Normally it happens when I'm playing black too, which is equally frustrating because I somehow manage to get colors in runs (like 4 games in a row of only playing black/white). So, right there that's a disadvantage that I have to deal with.
You can't tell me people are too busy to say "good game" or "thank you" or at least some semblance of kindness or courtesy for a game of chess, It's for this reason that, if I have time, I offer a rematch, and if I don't then I say "good game" or "thanks for playing" or something. That way they know that I'm not some coward who cares more about his rating than the other person they are playing with.