Three-player Domineering

Domineering is a classic two-player combinatorial game usually played on a rectangular board. Three-player Domineering is the three-player version of Domineering played on a three dimensional board. Experimental results are presented for x×y ×z boards with x + y + z < 10 and x, y, z ≥ 2. Also, some theoretical results are shown for 2 × 2 × n board with n even and n ≥ 4.