← All parts of this equation

Equation 22 · Part 10 · Reliable AI Agents Are Control Systems, Not Chatbots

=

J(π)=Eπ[R]−λcEπ[C]−λrEπ[L]−λuEπ[U],J(\pi) = \mathbb{E}_\pi[R] - \lambda_c\mathbb{E}_\pi[C] - \lambda_r\mathbb{E}_\pi[L] - \lambda_u\mathbb{E}_\pi[U],
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

Optimizing task success alone invites systems to spend unlimited resources or take unacceptable risks. A more useful objective is J(π)=Eπ[R]−λcEπ[C]−λrEπ[L]−λuEπ[U]J(\pi) = \mathbb{E}_\pi[R] - \lambda_c\mathbb{E}_\pi[C] - \lambda_r\mathbb{E}_\pi[L] - \lambda_u\mathbb{E}_\pi[U]. where R is task reward, C is computational and human-review cost, L is realized loss from harmful actions, and U is residual uncertainty at commitment. The coefficients are governance choices, not model parameters. Hospitals, game studios, semiconductor fabs, and personal coding projects should not assign them equally.

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

Open the illustrated equality: what the equals sign claims guide →

The article lists its research sources here.