AICYLGApr 25, 2025

Scaling Laws For Scalable Oversight

arXiv:2504.18530v39 citationsh-index: 9
Originality Incremental advance
AI Analysis

This addresses the challenge of controlling future superintelligent AI systems through scalable oversight, but it is incremental as it builds on existing concepts with a new modeling framework.

The paper tackles the problem of understanding how scalable oversight scales by proposing a framework that quantifies oversight success probability based on the capabilities of the overseer and the system being overseen, finding scaling laws for oversight games like Mafia, Debate, Backdoor Code, and Wargames, with Nested Scalable Oversight success rates ranging from 9.4% to 51.7% at a specific Elo gap.

Scalable oversight, the process by which weaker AI systems supervise stronger ones, has been proposed as a key strategy to control future superintelligent systems. However, it is still unclear how scalable oversight itself scales. To address this gap, we propose a framework that quantifies the probability of successful oversight as a function of the capabilities of the overseer and the system being overseen. Specifically, our framework models oversight as a game between capability-mismatched players; the players have oversight-specific Elo scores that are a piecewise-linear function of their general intelligence, with two plateaus corresponding to task incompetence and task saturation. We validate our framework with a modified version of the game Nim and then apply it to four oversight games: Mafia, Debate, Backdoor Code and Wargames. For each game, we find scaling laws that approximate how domain performance depends on general AI system capability. We then build on our findings in a theoretical study of Nested Scalable Oversight (NSO), a process in which trusted models oversee untrusted stronger models, which then become the trusted models in the next step. We identify conditions under which NSO succeeds and derive numerically (and in some cases analytically) the optimal number of oversight levels to maximize the probability of oversight success. We also apply our theory to our four oversight games, where we find that NSO success rates at a general Elo gap of 400 are 13.5% for Mafia, 51.7% for Debate, 10.0% for Backdoor Code, and 9.4% for Wargames; these rates decline further when overseeing stronger systems.

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