viernes, 17 de enero de 2020

teoria de jocs: joc peó 2-1


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


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


5+((-1)+(-2))+((-1)+(-2))+1 = 0
5+((-2)+(-1))+(-2) = 0


n=3k+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][b_{1}][00][b_{0}]
[a_{0}][a_{1}][b_{2}][00][b_{1}][00][b_{0}]


6+((-1)+(-2))+((-1)+(-2)) = 0
6+((-2)+(-1))+((-2)+(-1)) = 0


n=3k+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][b_{1}][00][b_{0}]
[a_{0}][b_{3}][a_{2}][a_{3}][00][b_{1}][00][b_{0}]


7+((-1)+(-2))+((-1)+(-2))+(-1) = 0
7+((-2)+(-1))+((-2)+(-1))+((-2)+(-1))+2 = 0

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