Despite his historic reputation as an aggressive risk taker, Anatoly Karpov is deemed the ultimate positional player by some chess masters.

Despite his historic reputation as an aggressive risk taker, Anatoly Karpov is deemed the ultimate positional player by some chess masters.
CORRECT

Despite his reputation as an aggressive risk taker, Anatoly Karpov is historically deemed the ultimate positional player by some chess masters.
I think the reputation is historic and not that he is hisctorically deemed...... INCORRECT

Despite Anatoly Karpov's historic reputation as an aggressive risk taker, he is deemed by some chess masters to be the ultimate positional player.
Deemed.. to be...... INCORRECT

Although he is historically regarded as an aggressive risk taker, some chess masters deem Anatoly Karpov as the ultimate positional player.
He refers to Antony not some chess masters...... INCORRECT

Although his reputation is historically regarded as an aggressive risk taker, Anatoly Karpov is deemed as being the ultimate positional player by some chess masters.
Reputation is regarded as aggressive risk taker...... INCORRECT

saxenashobhit wrote:Despite his historic reputation as an aggressive risk taker, Anatoly Karpov is deemed the ultimate positional player by some chess masters.

Despite his historic reputation as an aggressive risk taker, Anatoly Karpov is deemed the ultimate positional player by some chess masters.

Despite his reputation as an aggressive risk taker, Anatoly Karpov is historically deemed the ultimate positional player by some chess masters.

Out from B and A, B is shifting "historically" from the player reputation to player fame. Shift in the meaning. I would go with A to keep the original meaning, and I also can not find any mistake with A.

Despite Anatoly Karpov's historic reputation as an aggressive risk taker, he is deemed by some chess masters to be the ultimate positional player.
"he" in the second clause doesn't have a reference. ( Modifier refers to Anatoly Karpov's historic reputation, not to Anatoly Karpov).

Although he is historically regarded as an aggressive risk taker, some chess masters deem Anatoly Karpov as the ultimate positional player.
Subject "he" of the modifier should refer to Anatoly, but both of them are quite far. Not a very good construction. Reference has to be very clear.

Although his reputation is historically regarded as an aggressive risk taker, Anatoly Karpov is deemed as being the ultimate positional player by some chess masters.
Reputation is referred as Risk taker.
"being" is not required. you can eliminate being and still the line will make sense.

Although he is historically regarded as an aggressive risk taker, some chess masters deem Anatoly Karpov as the ultimate positional player.

Subject "he" of the modifier should refer to Anatoly, but both of them are quite far. Not a very good construction. Reference has to be very clear.