Equation 12 · Part 1 · The Type Chart Is a Payoff Matrix, and the Metagame Only Half-Solves It
Symbol j
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j is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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j is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
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The passage around this formula
…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, and this piece does not pretend to invent the tool: this house has already used replicator dynamics to model real market selection and a matched null-model discipline to test claims of…
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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
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