Philidor position

Philidor (1726–95)

The Philidor position (or Philidor's position) usually refers to an important chess endgame which illustrates a drawing technique when the defender has a king and rook versus a king, rook, and a pawn. It is also known as the third rank defense, because of the importance of the rook on the third rank cutting off the opposing king. It was analyzed by François-André Danican Philidor in 1777. (Also see rook and pawn versus rook endgame.) Many rook and pawn versus rook endgames reach either the Philidor Position or the Lucena Position. If played accurately the defending side tries to reach the Philidor Position; the other side tries to reach the winning Lucena Position. Jesús de la Villa said "[The Philidor position] is perhaps the most important position in endgame theory" (de la Villa 2008:125).

Philidor analyzed many positions, some of which have his name associated with them (see the subsequent sections).

Philidor's position, rook and pawn versus rook

Philidor position, 1777

	a	b	c	d	e	f	g	h
8									8
7									7
6									6
5									5
4									4
3									3
2									2
1									1
	a	b	c	d	e	f	g	h

White is defending the Philidor position, and draws.

The diagram shows an example of Philidor's position. The important characteristics of the position are (from the point of view of the defender):

• the defending king (White in this diagram) is on the queening square of the pawn (or adjacent to it). The pawn can be on any file.
• the opposing pawn has not yet reached the defender's third rank (its sixth rank).
• the opposing king is beyond the defender's third rank.
• the defender's rook is on the third rank, keeping the opposing king off that rank.

Black would like to get his king to the e3-square and threaten checkmate to force the white king away from the queening square of the pawn, e1. The white rook on the third rank prevents that. If Black checks with the rook from the side, White simply keeps the king in front of the pawn by alternating between squares e1 and e2. If Black offers an exchange of rooks White should take it, since the resulting king and pawn endgame is drawn (see King and pawn versus king endgame).

So Black's only winning chance is to advance the pawn. The basic idea is for the defender to keep his rook on his third rank until the pawn advances to that rank, then check the opposing king from behind. Here is a possible continuation:

1... Rb2

If 1...e3, advancing the pawn immediately, then 2. Ra8 draws since Black's King cannot escape checks without losing his e-pawn, when the resulting position with each side playing with a King and a Rook, is a draw.

2. Rc3 Ra2

3. Rb3 e3

There is little else for Black to try. If Black retreats the Rook, the White King can advance, drawing easily. If Black shuffles (Ra2-Rb2-Ra2), White can do the same (Rc3-Rh3-Rc3). With 3. ...e3, Black threatens to advance with Kf3, and if he is unopposed, checkmate with the rook or advance the pawn. (A passive defense does not work.)

4. Rb8!

Since now Black's king cannot move to e3, it is safe to move the rook away to the far end of the board (the defender's seventh or eighth rank). Note that 4.Rb4+ (??) loses immediately to 4...Kf3 when black will checkmate or force the exchange of rooks followed by Kf2 and promotion of the pawn.

4... Kf3

5. Rf8+ Ke4

6. Re8+

The black king can not hide from the checks without giving up the pawn; nor can he approach the rook:

6... Kf4

7. Rf8+ Ke5 (7. ...Kg5 is also answered by 8. Re8)

8. Re8+

Black is forced to play Kd4 or Kf4, making no progress. The defender's rook must be on his seventh or eighth rank to employ the Philidor defense. (Positions can be drawn with the rook in other positions, using different defenses.)

To sum up the defense: the defender should keep his king in front of the opposing pawn and keep his rook on the third rank until the pawn advances to that rank, then go to the far end of the board (the seventh or eighth rank) and check the king from behind. If the attacker tries to get his king to his sixth rank by moving his rook to that rank first to block the checks, the defender simply exchanges rooks and has a drawn king and pawn versus king endgame.

Philidor, 1777

	a	b	c	d	e	f	g	h
8									8
7									7
6									6
5									5
4									4
3									3
2									2
1									1
	a	b	c	d	e	f	g	h

White to move wins; Black to move draws.

Philidor actually studied a position that leads to the type of position above. In this position, if it is Black's turn to move, he moves

1... Rb4

and then his rook will reach his third rank, and the position is basically the same as the diagram above, with colors reversed. If White is to move, he wins with accurate play by

1. Ke6 Kf8 (2. Ra8# is threatened, moving the king to the "short side" of the pawn is relatively better than to the other side)

2. Ra8+ Kg7

3. Kd6 Rd4+

4. Ke7 Rb4

5. e6

etc., and wins (Nunn 1999:281–82). Note that Black reaches a draw after 1. Kd6? Re4!, for example 2. Ke6 Kf8 3. Ra8+ Kg7 4. Kd6 Kf7 and White cannot break through.

	a	b	c	d	e	f	g	h
8									8
7									7
6									6
5									5
4									4
3									3
2									2
1									1
	a	b	c	d	e	f	g	h

Black to move draws with 1...Ra5! 2.e5 Ra1!

Philidor's defense can also be used if the pawn is less advanced. In that case, the defending rook can occupy its fourth rank instead of its third rank and the defending king should be on at least its second rank. When the pawn reaches the rank of the defending rook, the rook moves to its eighth rank to check the opposing king from behind (assuming that the opposing rook is not on that rank) (Howell 1997:42), (Rogers 2010:41).

Philidor thought that the only way to draw was to keep the defending rook on its third rank until the pawn reached that rank and then attack from behind. In 1897 Max A.K.S. Karstedt (1868–1945) showed that this is not strictly true and Johann Berger (1845–1933) expanded on that. There are other ways to draw, however, the alternate defenses are more complicated (Rabinovich 2012:362–67).

Queen versus rook

Philidor, 1777

	a	b	c	d	e	f	g	h
8									8
7									7
6									6
5									5
4									4
3									3
2									2
1									1
	a	b	c	d	e	f	g	h

White wins with either side to move

Philidor studied many endgame positions. Another one that he studied in 1777 (and is also called Philidor's Position) involves a queen versus a rook (see the diagram).

If Black is to move in this position, he quickly loses his rook by a fork (or gets checkmated). For example,

1... Rb1

2. Qd8+ Ka7

3. Qd4+ Ka8

4. Qh8+ Ka7

5. Qh7+

If White is to move in this position, he would like to be in this position except with Black to move. This can be accomplished by triangulation:

1. Qe5+ Ka8

2. Qa1+ Kb8

3. Qa5

and now it is back to the same position but Black has to move (and is in Zugzwang) (Nunn 2002:50–51), (Müller & Pajeken 2008:178). Nunn describes that with the pieces in the center of the board the queen ought to force the rook towards the Philidor position. Nunn describes the various retreat positions for the rook, the "fourth, third, second" rank defenses, then the "Philidor position". It is usually easy for White to force Black into the Philidor Position (Nunn 2002:51) With Black to play in the Philidor Position, the rook can be won in a few moves (Nunn 2002:50).

Rook and bishop versus rook

Philidor, 1749

	a	b	c	d	e	f	g	h
8									8
7									7
6									6
5									5
4									4
3									3
2									2
1									1
	a	b	c	d	e	f	g	h

White to move wins (checkmate in 19 moves with optimal play).

Another famous position studied by and named after Philidor is in the ending of a rook and bishop versus a rook (diagram). White wins because his king has reached the sixth rank and black's king is poorly placed (opposite the white king) (Howell 1997:148–50). If this type of position arises, it is usually because of inferior defense. Nevertheless, it is tricky to win (Nunn 2007:163).

See also

• Chess endgame
• Endgame tablebase
• Lucena position – a winning position, in contrast to the Philidor position for rook and pawn versus rook
• Rook and pawn versus rook endgame

References

Further reading

External links

• Interactive Endgame Simulation of the Philidor Position
• Video explaining the Philidor Position