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Help required with example of real-life matrix

If, for example, I was in an ongoing dispute with a troublesome, anti-social neighbour, where it is best if we both cooperate:

would this be a valid matrix? -

I assign points as follows.

I cooperate: +1 for him
I defect: -1 for him

He cooperates: +1 for me
He defects: -1 for me

number pairs in this form: me/him

He cooperates He defects

I cooperate +1/+1 -1/+1

I defect +1/-1 -1/-1

which would make, if we wish:

TOTALS

He cooperates He defects

I cooperate 2 0

I defect 0 -2

What do you think? I would value a mathematician's opinion.

Thank you,

Simon Perry.

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