Who is the greatest chess player of all time ?? Bobby Fischer ??

No, all engine analyses done to date EXCEPT chess.com's CAPS rank Fischer higher than Kasparov or anybody else to that date. It's true Carlsen was not included since he was too young at the time:

https://en.wikipedia.org/wiki/Comparison_of_top_chess_players_throughout_history

You do have to realize CAPS is a proprietary solution belonging to chess.com, so it's hard to tell what goes on under the hood so to speak. And even CAPS initially declared Fischer slightly more accurate than Kasparov, only to revert later without much explanation...

Cannot you read? Fischer, an expert player, possibly the best, analysed those games for 2 years and concluded they were fixed. In 2002 Kasparov played a match with Karpov and lost (also written in my post).

How many GMs have said that we should accept Fischer's assessment?

Those are not the latest engine. Latest engine used by chess.com resulted in Carlsen as the most accurate.

 And people knows Fischer has a troubled mind.    And as one poster here told, how many GMs told that we should accept Fischer's opinion? Yeah Kasparov lost to Karpov in that match. So what? You can't win all the time. Kasparov beat Karpov in a match in 2009.

http://www.chessgames.com/perl/chess.pl?tid=69871

"all engine analyses done to date EXCEPT chess.com's CAPS rank Fischer higher than Kasparov or anybody else to that date"

Of course not...

http://en.chessbase.com/post/the-quality-of-play-at-the-candidates-090413

Another engine analysis here, as most of them with Fischer behind some other players

http://en.chessbase.com/post/computers-choose-who-was-the-strongest-player-

Do you mean who played the best moves?  Then I think computers would be the best judge of that.  Here is an attempt at that before Carlsen became dominant so it doesn't really cover him:

http://en.chessbase.com/post/computers-choose-who-was-the-strongest-player-

If you mean who was strongest versus players of their time then I guess ratings would be good to decide that.   But that may just as well be a matter of having a weak field at a given time as being actual strength.  

If you mean who advanced the game the most.  Well then its pretty clear, Morphy did that.   

edit:  I see Fabelhaft has some other analysis of games.  I have not gotten into the nitty gritty of which is better.  But the overall gist seems similar.   

At least one: https://www.chess.com/blog/Spektrowski/the-conspiracies-of-valery-salov-part-2

@jambyvedar: Fischer had a troubled destiny, don't blame his mind.

Fischer is truly, the GOAT!

At least one. What Fischer told is an opinion and not a fact.

The GOAT in your opinion(from USA). For me Kasparov is the GOAT and I am not from Russia.

U will find out in this video

https://www.youtube.com/watch?v=fHeQUgUOoRs

kasparov had a shot, but unfortunately choked and lost to Deep Blue

And? Everybody loses.  That defeat did not erased Kasparov's accomplishment.

not only that, but he might be the only world champion to lose the title without a single victory.

To keep everybody happy, Fischer is the GOAT and Kasparov is the goat :D

A 2008 analysis, using Rybka 3, showed that Capablanca had the smallest average error factor (i.e. the most accurate play); but after adjusting for factors such as the complexity of positions, the best player came out as Fischer, followed by Capablanca, Karpov and Kramnik. The best players had an average error of about 0.07 pawns per move (after the opening). Capablanca was the most positional player, and Anand by far the most tactical. The most complex game tested was Fischer v Spassky (1972 game 6, Fischer won) while the most accurately played game was Tal v Benko (1958, Tal won): https://www.scribd.com/doc/132380754/Chess-Player-Analysis-by-Rybka-3-14ply

ME

Kasparov, Lasker and Anand all did the same, but measuring greatness isn't as simple as that...