Bishop Pair Strategy: Kramnik v Tiviakov 2001, Checked by Stockfish

Part 1Kramnik v Tiviakov, Wijk aan Zee 2001: a world champion and the bishop pair

In January 2001 Vladimir Kramnik arrived at the Corus tournament in Wijk aan Zee as the new classical world champion: in London in 2000 Kramnik had beaten Garry Kasparov by 8½–6½ without losing a game. ^[4] ✓ Verified

In round 4 Kramnik, rated 2772, had White against Sergei Tiviakov, rated 2597, a solid grandmaster who had won the World Under-18 title in 1990 and who reached a peak of 2699. White accepted the pair of bishops that Black offered, and the next 38 moves show what the pair is worth and what it is not. ^[1][5] ✓ Verified

The question to hold while reading: why did Black's sound opening turn into a clearly worse position within seven moves, and what did the two bishops actually do? A book on middlegame strategy by Jan Markos uses this game as its third example of the bishop pair, so it is a recognised teaching game for the idea. ^[3] ✓ Verified

Part 2What is the bishop pair, and when does it matter?

The bishop pair is two bishops, one on each colour of square, against a bishop and a knight or against two knights. Together the two bishops cover every square on the board, and from far away. The knights jump short distances and need safe squares close to the action.

Chess writers often value the pair at about half a pawn, but the figure moves a great deal with the position; in this game Stockfish found it nearly worthless in the opening and worth two pawns by move 19. The pair is worth most when the position is open (few locked pawn chains), when there are pawns on both wings so the bishops have targets far apart, and when the opponent has no outpost for a knight. It is worth least in a closed, blocked position, where the bishops bite on their own pawns. ◐ Inferred

Part 3The opening: Black gives up the pair on purpose

The game began 1.d4 Nf6 2.c4 e6 3.Nc3 Bb4 4.e3: the Nimzo-Indian Defence. After 8.a3 Black's bishop is attacked and Tiviakov took the knight with 8...Bxc3 9.bxc3, the standard trade in this line. It hands White the pair of bishops but leaves White with doubled, weak pawns on the c-file. Stockfish approves of Black's choice: after the exchange it still rates the position as level, within a fifth of a pawn. ✓ Verified

The pair is not an advantage yet. What turned it into one was Black's setup. The pawn on e4 kicked the knight from f3, but it also locked in the centre and let White prepare the break f2-f4. The knight went to a5, which attacks the bishop on c4 and sits on the rim. After 14.Ba2 Bf5 Stockfish rates White as only slightly better, by about half a pawn. ✓ Verified

The doubled pawn that looked like White's weakness is the key to the whole game: it is the pawn the dark-squared bishop needs out of the way. 15.c4 costs nothing and gives that bishop its diagonal. ◐ Inferred

Part 4The plans: open the position against the stranded knight

After 15.c4 the position has a clear shape. White's bishops are about to see the whole board; Black's knight on a5 has no good squares, and Black's other pieces defend. Stockfish's early opinion tilts further with every White move: Stockfish's evaluation goes from about half a pawn after 14...Bf5 to nearly two pawns by move 19. ✓ Verified

Part 5The moments that decided it

Stockfish 19 searched every position of the game. The graph shows a steady climb for White through move 19, a drop at move 22 when White trades a knight for a rook, and the large swings in the last third.

Black's reply 16...Nd7 and the move before it, 15...Rfe8, were the real concessions. Stockfish preferred the bishop retreat ...Bg6 both times. Counting every Black move from 12...e4 to 16...Nd7, Stockfish finds five small losses of 12, 8, 20, 37 and 65 hundredths of a pawn: none of them an obvious blunder, together about one and a half pawns. ✓ Verified

Part 6The turning point: 29...Ne5

By move 27 Tiviakov had grabbed two pawns with the knights and material was level, but White's two bishops, the d5 pawn and a stranded knight on c2 gave Stockfish a lead of over two pawns. Kramnik then played 28.g4, which gave much of it back. Stockfish's choice was 28.Bxh5!, which pulls the bishop on g6 away from the defence of the knight on c2: after 28...Bxh5 29.Rxc2 White wins a piece. Tiviakov, given a second chance, replied with the move that decided the game. ✓ Verified

Part 7What Tiviakov could have done

Black was worse for most of the game, but the engine finds a stubborn defence at move 29: 29...Rd8. The rook goes to the d-file and stops the pawn at once. Stockfish keeps White ahead by about two-thirds of a pawn, which is something but far less than the three and a half pawns of the game. ✓ Verified

Part 8A fresh look: five small concessions, not one big mistake

The usual story of this game is simple: the two bishops swept Black off the board. Stockfish tells a different story. In the opening, level at move 9, the pair was worth almost nothing. The advantage arrived through a run of small Black inaccuracies (12...e4, 13...Na5, 14...Bf5, 15...Rfe8 and 16...Nd7), each one a fraction of a pawn, together worth about one and a half pawns. The pair did not create the lead; it made every small error expensive. ✓ Verified

Both players erred in the last third. Kramnik's 28.g4 threw away about a pawn and a half, and 22.Ne4 about a pawn. A player who owns the pair does not have to be perfect, only to keep the position open and the opponent's pieces busy. The pair keeps giving second chances. ◐ Inferred

The decision at move 22, to win the exchange instead of keeping the bind, is the mirror image of an idea covered in the exchange sacrifice article, where the exchange is given up for lasting pressure; compare also bishop against knight.

Part 9How to play with the bishop pair in your own games

The recipe below works for club players because it does not need engine precision: it asks what the pieces want and removes what stops them. ◐ Inferred

• Do I still have both bishops?
• Which of my pawns blocks a bishop?
• Which break opens the position where I am strong?
• Where can the enemy knight land safely?
• Can I turn the pair into something concrete: a passed pawn, the exchange?

Your turnPractise it

Set each position up, decide your plan before you look, then play it out against Stockfish to see whether it holds.

Part 10What to take from this game

• The pair needs open lines. Open the position where the enemy king or weak pawns are, and keep the bishops pointed at them.
• Small concessions add up. Five inaccuracies of a fraction of a pawn each became a clearly worse game; the pair made each of them count.
• Clear your own pawns. A bishop blocked by its own pawn can be worth less than a knight: 15.c4 freed the diagonal.
• Defend by blockading. The passed pawn was more dangerous than the bishops; 29...Rd8 was the defence.
• Cash in the advantage. The pair is a means, not a result: turn it into a passed pawn or the exchange.