Table 3 The joint distribution of player A’s and A’s score, with interactions.

A2’s score
Joint Prob		-1	0	+1
	-1	pa1,-1pa2,-1+ i-1,-1	pa1,-1pa2,0+ i-1,0	pa1,-1pa2,+1- i-1,-1- i-1,0	pa1,-1
A1’s score	0	pa1,0pa2,-1+ i0,-1	pa1,0pa2,0+ i0,0	pa1,0pa2,+1- i0,-1- i0,0	pa1,0
	+1	pa1,+1pa2,-1- i-1,-1-i0,-1	pa1,+1pa2,0- i-1,0- i0,0	pa1,+1pa2,+1 + i-1,-1+ i-1,0+ i0,-1+ i0,0	pa1,+1
		pa2,-1	pa2,0	pa2,+1	1