Dots-and-Boxes Perfect 3x3 Game

In this game each player has chosen a best move--giving the opponent as few good choices as possible.

    Player A to move                    Player B to move

  + -3	+ -3  +	-3  +		      +	-1  + -1  + -1	+

 -3    -3    -3	   -3		     -1	   -3	 -3    -1

  + -3	+ -3  +	-3  +		      +	-1  #-----# -1	+

 -3    -3    -3	   -3		     -1	   -1	 -1    -1

  + -3	+ -3  +	-3  +		      +	-3  + -1  + -3	+

 -3    -3    -3	   -3		     -1	   -1	 -1    -1

  + -3	+ -3  +	-3  +		      +	-1  + -3  + -1	+



  + -3	+ -3  +	-3  +		      +	-1  #-----# -1	+

 -3    -3    -3	   -3		     -1	   -1	 -1    -1

  + -3	+-----+	-3  +		      +	-1  +-----+ -1	+

 -3    -3    -3	   -3		     -3	   -1	 -1    -3

  + -3	+ -3  +	-3  +		      +	-1  + -1  + -1	+

 -3    -3    -3	   -3		     -3	   -1	 -1    -3

  + -3	#-----#	-3  +		      +	-3  +-----+ -3	+



  + -5	+-----+	-3  +		      +	-1  +-----+ -1	+

 -5    -5    -5	   -3		     -1	   -1	 -1    -1

  # -3	+-----+	-3  +		      #-----#-----+ -1	+
  |				      |
  |    -3    -3	   -3		      |	   -1	 -1    -1
  |				      |
  # -3	+ -3  +	-3  +		      +	-1  + -3  + -1	+

 -3    -3    -3	   -3		     -1	   -1	 -1    -1

  + -3	+-----+	-3  +		      +	-1  +-----+ -1	+



  + -3	+-----+	-5  +		      #-----#-----+  1	+

 -3    -5    -5	   -5		      1	   -1	  1	1

  +-----+-----+	-3  +		      +-----+-----+  1	+
  |				      |
  |    -3    -3	   -3		      |	    1	  1    -1
  |				      |
  + -3	#-----#	-3  +		      +	 1  +-----+ -3	+

 -3    -3    -3	   -3		     -1	   -1	 -1	1

  + -3	+-----+	-3  +		      +	-1  +-----+  1	+



  +-----+-----+	-5  +		      +-----+-----+  5	+

 -7    -7    -7	   -5		      3	   -3	  3	5

  +-----+-----+	-3  +		      +-----+-----#-----#
  |				      |
  |    -5    -5	   -5		      |	    3	  3	3
  |				      |
  + -5	+-----#-----#		      +	 3  +-----+-----+

 -3    -7    -7	   -3		      3	    3	  3	5

  + -3	+-----+	-3  +		      +	 3  +-----+  5	+



  +-----#-----+	-5  +		      +-----+-----+ -1	+
  |	|     |			      |	    |	  |
  |  A	|  A  |	   -5		      |	 A  |  A  |    -1
  |	|     |			      |	    |	  |
  +-----#-----+-----+		      +-----+-----+-----+
  |				      |
  |    -3    -3	   -3		      |	    3	  3	3
  |				      |
  + -3	+-----+-----+		      +	 3  #-----+-----+
					    |	  |
 -3    -3    -3	   -3		     -3	    |  B  |    -1
					    |	  |
  + -3	+-----+	-3  +		      +	-3  #-----+ -1	+



  +-----+-----+	-3  +
  |	|     |
  |  A	|  A  |	   -3
  |	|     |
  +-----+-----+-----+
  |
  |    -3    -3	   -3
  |
  # -3	+-----+-----+
  |	|     |
  |	|  B  |	   -3
  |	|     |
  # -3	+-----+	-3  +
Player A gets one more corner for a total of 3; player B gets the rest for a total of 6.

David Wilson / dwilson@cae.wisc.edu