Dots-and-Boxes 3x3 Analysis Results

These are the results after the first player's move. Although all moves result in the second player winning by 3 with best play, a center move is best since that gives the second player the greatest opportunity to make a mistake.

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



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



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



 + -1  + -1  + -1  +
                    
-1    -3    -3    -1
                    
 + -1  +-----+ -1  +
                    
-1    -1    -1    -1
                    
 + -3  + -1  + -3  +
                    
-1    -1    -1    -1
                    
 + -1  + -3  + -1  +
David Wilson / dwilson@cae.wisc.edu