Equation 8 · Part 1 · The Type Chart Is a Payoff Matrix, and the Metagame Only Half-Solves It
Symbol U
What this part means
U is part of the quantity the equation computes from the expression on the right.
Its job in the formula
U is part of the quantity the equation computes from the expression on the right.
Full expression→Symbol U→Article meaning
The passage around this formula
A matrix of pairwise advantages is an invitation to ask what a population that only cared about that matrix would converge on. Convert E into a genuine zero-sum payoff by taking a log-ratio: U(i,j) = \!E(i,j)/E(j,i) , which is antisymmetric by construction ( U(i,j) = -U(j,i) ) and reads in doublings of relative advantage — U(i,j)=2 means i ’s best attack into j outclasses j ’s best attack into i by a factor of four. This is a standard move in evolutionary game theory,…
Learn the underlying idea
A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.
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