What does mean, when a player refuse to rematch ?

afraid of losing

that you are to good.

I probably means they're busy.  Some times it means they suspect the rematch would be with someone who is a jerk.  But most people aren't jerks, so most times it means they're busy.

It means that you are being too needy and acting desperate. Chess players can sense this and it's unattractive. Women pick up on this too (just in case you haven't noticed this yet.)

Rematch if for pussies... Real men just suck it in!!

Ever notice how it is only the people that lose that want rematches so badly they post about it?  The winner does not care, really, if they get "denied" a rematch.  It is completely a matter of ego...some people continue to think they are better than the person that just beat them.  So when they don't get their rematch it makes them mad.  

Mature adults can just let it go.  A person is not weak because they lost a single chess game.  Even the strongest GMs do that.  It is not a personal affront if someone beats you.  

Self-worth should not be derived from a game played for leisure/entertainment.  Feeling like you must beat the player that just beat you to prove yourself is a sign of a lack of confidence in your own abilities.  Measure yourself against the game played and your own skills, not the other player.

^ This....

It depends. There can exist a lot of reasons.

For example, I always say hello before a game. If you don't answer, before or after the game, I won't play again with you. I just look for polite players.

Another possibility is a player who doesn't resign a game when he is obviously completely lost since a lot of moves. Not fair play, not rematch.

Logical.

Win or lose I sometimes like to analyze the game i just played.A rematch prevents that.

I think that for most people, in the context of the ELO rating system, proving that you're better or worse than individual players doesn't matter. What matters is improving your rating over time. I have no attachment to my performance or results against specific players and I mostly don't care who I play against. 

I take rematches against people that are very bad because I know the game will be easy, but I find difficult matches to be mentally taxing and wouldn't play too many of them in a row. I am playing against the board anyways, not the player, so it doesn't matter who pushes the other pieces.

maybe running away insted of be "The Runner"

It means that I'm tired, after that last game -- my opponent tired me out!  Whether I won or lost, it was a workout!

So, take it as a compliment -- you wore me out; too tired to play you again rightaway.

Apologetics aplenty in this forum... Too funny... 

There may be many reasons.

I will not deny that many times when I have lost a very competitive game, or the opponent won because I made a rookie mistake, I offer him a rematch, he declines it and then I think "Obviously he declines it! He knows that next time he will not be so lucky and I would destroy him. He is scared!" LOL

Probably the only answer that all this people claiming his right to a rematch after suffering a loss is:

"He probably got scared of your superior chess abbilities" (despite the fact that you just lost the game)

Too much debates on the forums about the rematch.
I think that come2play stuff should to give an oficial explanation on the concept of "rematch" (for example in the FAQ "Fair Play Policy")... something like this:
----------------
"No one is obliged to offer or accept a rematch.
Player offers or accepts rematch exclusively at own will, if he wants to play again with the same opponent.
Denial of a rematch  is NOT a violation of Fair Play"

    "He probably got scared of your superior chess abilities" (despite the fact that you just lost the game)

Too funny!

funny

Too many players to get into grudge matches. Once someone learns your game you are dead. So better to just move on

I don't understand. Why refusing a rematch = non fair play ?

I can have some very good reasons for refusing a second game (I explained some of them in another comment).

First, if you don't even say hello before or after the game, forget the rematch. I look for polite players.