My favourite player is Karpov.
Other players I like are Smyslov, Capablanca, Petrosian, Spassky, Keres, Kramnik, Korchnoi, Rubinstein, Seirawan, Anand, Gelfand, Nimzowitsch, Gligoric and more. I also really enjoy Fischer's chess style but can't possibly call myself a fan of him since he was a horrible human being and a terrible sportsman. I like these players based on their playing style and/or personality. I usually like players with a good positional style, strategical play and good endgame technique but I also like many players with a completely different style but who have a very nice and pleasant personality.

My favourite style of play is positional and strategic. I can appreciate attacking tactical play as well but it's positional chess that excites me and what makes chess beautiful for me. The art of accumulating small advantages one after another and slowly squeezing the life out of a desperate opponent intrigues me. For me, tactical style with complex combinations shows an incredible eye for tactical opportunities, but positional play shows the use of logic, thought and formulation of a deep plan.

My favourite player described this in the best possible way:

"Let us say the game may be continued in two ways: one of them is a beautiful tactical blow that gives rise to variations that don't yield to precise calculation; the other is clear positional pressure that leads to an endgame with microscopic chances of victory.... I would choose the latter without thinking twice. If the opponent offers keen play I don't object; but in such cases I get less satisfaction, even if I win, than from a game conducted according to all the rules of strategy with its ruthless logic."