P/G Theory: A Computational Framework for Relational Impact Modeling and Manner Formation in AI Agents
Revised Technical Preprint Draft with Concrete Impact-Estimator Training
Abstract
AI agents in repeated social interaction face a gap that scalar rewards, rule-based filters, and post-hoc safety layers do not fully close: the same action can have differential and asymmetric impact on different relationships and over time. We present P/G Theory, a computational framework in which actions are represented as transformations over two distinguished objects: entity-level property states P (for example, safety, capability, resources, identity, reputation) and dynamic relationship-value fields G (for example, trust, obligation, vulnerability, cooperation potential). We define relational ethical value as a bounded function of predicted P and G changes under explicitly separated hard constraints; model behaviour as a feedback process over P/G dynamics; and define manner as relationship-sensitive policy stabilization across contexts, not mere policy convergence. The framework is positioned narrowly: a relational representation layer complementary to alignment, RLHF, multi-agent learning, and safety constraints rather than a replacement for them. This revised version adds a concrete learning pipeline for the relational impact estimator F, including label structure, training sources, uncertainty calibration, iterative label refinement, and a minimal implementation protocol. The central technical challenge remains learning reliable action-induced relational impact; this paper makes that challenge explicit and provides an implementation-ready structure for empirical work in interactive characters, persistent social agents, and multi-agent simulation.
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