Virtual Chess Tournament Solutions
Three world champions Fischer, Kasparov, and Karpov played in a virtual chess tournament. Each player played 7 games against two other opponents. Each player received 2 points for a victory, 1 for a draw, and 0 for a loss. We know that Kasparov, known as the most aggressive player, won the most games. Karpov, known as the best defensive player, lost the least games. And Fischer, of course, won the tournament.
Is it really possible? Does this problem have a solution? If yes, what is the final score? Are there other possible solutions?
Submit your solutions using your favorite tools or just common sense.