teoria de jocs: joc peó 3-1

n=4k:
Si ( a = 1r  &  b = 2n ) ==> ( V=a & F=b )
Si ( a = 2n  &  b = 1r ) ==> ( F=a & V=b )


[a_{0}][b_{2}][a_{2}][00][b_{1}][00][00][b_{0}]
[a_{0}][a_{1}][00][00][b_{1}][00][00][b_{0}]


7+((-1)+(-3))+((-1)+(-3))+1 = 0
7+((-3)+(-1))+(-3) = 0


n=4k+1:
Si ( a = 1r  &  b = 2n ) ==> ( F=a & V=b )
Si ( a = 2n  &  b = 1r ) ==> ( V=a & F=b )


[a_{0}][a_{1}][a_{2}][00][00][b_{1}][00][00][b_{0}]
[a_{0}][a_{1}][b_{2}][00][00][b_{1}][00][00][b_{0}]


8+((-1)+(-3))+((-1)+(-3)) = 0
8+((-3)+(-1))+((-3)+(-1)) = 0


n=4k+2
Si ( a = 1r  &  b = 2n ) ==> ( V=a & F=b )
Si ( a = 2n  &  b = 1r ) ==> ( F=a & V=b )


[a_{0}][a_{1}][a_{2}][b_{2}][00][00][b_{1}][00][00][b_{0}]
[b_{3}][a_{1}][a_{2}][b_{2}][00][00][b_{1}][00][00][b_{0}]


9+((-1)+(-3))+((-1)+(-3))+(-1) = 0
9+((-3)+(-1))+((-3)+(-1))+((-3)+(-1))+3 = 0


n=4k+3:
Si ( a = 1r  &  b = 2n ) ==> ( F=a & V=b )
Si ( a = 2n  &  b = 1r ) ==> ( V=a & F=b )


[a_{0}][b_{3}][a_{2}][a_{3}][b_{2}][00][00][b_{1}][00][00][b_{0}]
[a_{0}][b_{3}][a_{2}][00][b_{2}][00][00][b_{1}][00][00][b_{0}]


10+((-1)+(-3))+((-1)+(-3))+((-1)+(-3))+((-1)+3) = 0
10+((-3)+(-1))+((-3)+(-1))+((-3)+1) = 0