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Equation 12 · Part 1 · Why Cost and Latency Belong in the Evaluation Score, Not a Footnote

Symbol A

A≻B  ⟺  sA≥sB,  cA≤cB,  lA≤lB,  with at least one inequality strict.A \succ B \iff s_A \ge s_B,\ \ c_A \le c_B,\ \ l_A \le l_B,\ \ \text{with at least one inequality strict.}
AA

What this part means

at least as good on every axis and strictly better on at least one: [displayed formula].

Its job in the formula

A is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

Say agent A Pareto-dominates agent B if A is at least as good on every axis and strictly better on at least one: A≻B  ⟺  sA≥sB,  cA≤cB,  lA≤lB,  with at least one inequality strict.A \succ B \iff s_A \ge s_B,\ \ c_A \le c_B,\ \ l_A \le l_B,\ \ \text{with at least one inequality strict.}.

The passage around this formula

Given that, the more defensible comparison between two agents is not a rank at all. It is a dominance relation. Say agent A Pareto-dominates agent B if A is at least as good on every axis and strictly better on at least one: A≻B  ⟺  sA≥sB,  cA≤cB,  lA≤lB,  with at least one inequality strict.A \succ B \iff s_A \ge s_B,\ \ c_A \le c_B,\ \ l_A \le l_B,\ \ \text{with at least one inequality strict.}. The Pareto frontier across a set of candidate agents is the subset that no other candidate dominates — the agents for…

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Sources cited in the article section

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