Backgammon
opening theory |
The first moves of a backgammon game are the
opening moves, collectively referred to as the opening,
and studied in the backgammon opening theory. Compared to the widely
studied opening theory in chess, the backgammon opening theory is
not developed in as much detail.
The
reason for this is that following the first move, there are 21
dice roll outcomes per subsequent move, combined with many
alternative plays for each outcome, making the tree of possible
positions in backgammon expand much more rapidly than in chess.
Despite the complications posed
by this rapid branching of possibilities, over the course of many
years, a consensus did develop amongst backgammon experts on what
is the preferred opening move for each given roll. Following the
emergence of self-trained backgammon-playing neural networks, the
insights on what are the best opening moves have changed in some
unexpected ways.
Preferred opening moves
The table below summarises the most commonly preferred moves, for
each of the 15 possible opening rolls, as selected
by detailed computer simulations, referred to as "rollouts".
There are no opening moves consisting of doubles, because at the
start of the game, each player rolls one die. Whoever rolls higher
moves first, using the numbers on the already-rolled dice. In the
case of a tie, the players roll again. In cases where no preferred
play but only two or more alternative plays are given, these appear
to be of equivalent strength within the statistical uncertainties
of the simulations and no play could be singled out that is clearly
superior.
The moves are captured in standard
backgammon notation. For instance, 8/5 denotes the move of a piece
from the 8-point to the 5-point.
|
Roll
|
Preferred
play
|
Common alternatives
|
-
|
-
|
2-1 |
- |
13/11, 24/23 |
13/11, 6/5 |
- |
3-1 |
8/5, 6/5 |
- |
- |
- |
4-1 |
13/9, 24/23 |
- |
- |
- |
5-1 |
13/8, 24/23 |
13/8, 6/5 |
- |
- |
6-1 |
13/7, 8/7 |
- |
- |
- |
3-2 |
13/11, 24/21 |
13/10, 13/11 |
- |
- |
4-2 |
8/4, 6/4 |
- |
- |
- |
5-2 |
13/8, 24/22 |
13/8, 13/11 |
|
|
6-2 |
13/11, 24/18 |
- |
|
|
4-3 |
- |
13/10, 13/9 |
13/10, 24/20 |
13/9, 24/21 |
5-3 |
8/3, 6/3 |
- |
- |
- |
6-3 |
24/18, 13/10 |
24/15 |
- |
- |
5-4 |
13/8, 24/20 |
13/8, 13/9 |
- |
- |
6-4 |
- |
8/2, 6/2 |
24/14 |
24/18, 13/9 |
6-5 |
24/13 |
- |
- |
- |

The general message that emerges
from the above table can be summarised as follows: unless one can
make a point, and with the exception of the running move 24/13 (in
which, having thrown a 6-5, the player moves a piece from the 24-point
to the 13-point; the lover's leap), a successful play is the combination
of splitting the 24-point and moving a checker from the 13-point.
The latter move should be as small as possible (resulting in a builder
close to the 13-point), unless the stack at the 8-point can be reached
(resulting in a balancing of the distribution between the 13-point
and the 8-point).The above opening
moves which emerged from computer analysis demonstrate
that a number of opening moves that were unquestioned for many decades
are now considered suboptimal. One example is the move 13/11-13/8
on the roll 5-2.
Although not a bad move, the alternative
choice preferred by the analyses, 24/22-13/8, is now generally agreed
upon to be optimal. In other cases, computer analysis has resulted
in alternative strategies that were not seriously considered in
the past. For instance, the opening move 8/2-6/2 for a roll of 6-4
was in the past greeted with disdain from experts, but turns out
to be on average as effective as the usual plays (24/14 and 24/18-13/9).
Influencing factors
The consensus on opening moves is generally extended only to money
play, meaning that these plays optimise the expected payout. However,
a context different from money play can influence the choice of
opening move and may very well tip the balance towards a play that
is seen to be slightly inferior. Towards the end of a match play,
one such important factor can be the state of the match.
In practice, an even more important
influencing factor is the preferred style of the player. A player
might have a strong preference for one out of a number of alternative
opening plays that are on average as effective, because the character
of the move (passive or aggressive) better suits his or her playing
style
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