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Seeking Phi in Game Theory
For a bit of fiction I'm thinking of... is there any aspect of game theory in which offering the number/symbol phi can indicate a threat to defect unless the other player cooperates?
So far, a quick bit of Googling has only turned up phi in relation to the Bargaining problem, at https://en.wikipedia.org/wiki/Bargaining_problem , and while I /could/ wrestle such an interpretation out of what's there, I'm hoping there's a less abstruse way to go about it.
Aha - at http://www.pnas.org/content/109/26/10409.full.pdf , zero-determinant strategies are defined by two factors, chi and phi, and at least when chi is 1, maximum phi results in the strategy of Tit-for-Tat, which is exactly what I was looking for.
Hm... is there a mathematical notation for the maximum of a variable, like |x| indicates the absolute value of x?