I understand deterministic is when players give an input and it always have the same output. And adversarial means there is opposing players. But I don't understand why the exact payoffs are not important.
2026-05-14 11:09:21.1778756961
Why are the exact payoffs in deterministic adversarial games not important?
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In many cases of economists cannot actually actually measure the statistic they are discussing. For example, there is no measurable unit of utility (there is a "util" but it is not measurable). Nonetheless, an economist can discuss an allocation that is better or worse than another allocation. $U(a) > U(b) > U(c).$ What matters is the order of preference between the allocations, not the numbers or the formula assigned to $U(x)$
Similarly, in game theory, what matters is the preference for each outcome rather than the specific numbers in the pay-out matrix.