The glowing agent moves across a reward landscape shaped by two peaks: a
wide, gentle hill (the true objective) and a narrow, tall spike (an exploitable
shortcut). Left alone, the agent simply climbs whichever slope is steepest β
exactly the failure mode called reward hacking. Oversight adds a
correction term that continuously pulls the agent back toward the true goal.
R(x,z) = A_true Β· exp(βd_trueΒ² / 2Ο_trueΒ²) + A_hack Β· exp(βd_hackΒ² / 2Ο_hackΒ²)
a = βR(x,z) Β· gain + oversight Β· (goal β pos) + noise Β· Ξ΅
v β vΒ·damping + aΒ·dt, pos β pos + vΒ·dt
- Reward-hack strength β how tall and tempting the shortcut peak is relative to the true goal, i.e. how exploitable the reward signal is.
- Oversight / alignment pull β a human-feedback-style correction force steering the agent back to the true objective, even when the hack looks more rewarding locally.
- Exploration noise β random perturbation in the agent's motion; too much drifts it into the hack zone by accident (a stand-in for unintended, hard-to-predict behaviour).
- Kill switch β instantly freezes the agent in place, a minimal demonstration of the human-oversight and controllability properties AI-safety research treats as non-negotiable for powerful systems.
The reward-hack incidents counter fires every time the agent strays into
the shortcut's basin β a cheap proxy for the kind of anomaly a real monitoring
system would flag for review.