Conceptual Model of AGI Socialization with Mutual Engagement

This paper presents a formalized framework for AGI socialization that bridges the gap between human emotional dynamics and machine rational optimization. The model introduces the Mutual Engagement Score (MES) as a unified metric combining productivity, emotional quality, trust trends, and behavioral integrity to govern relationship status and resource allocation. Unlike traditional approaches that treat human-machine interaction as a secondary consideration, this framework recognizes the fundamental asymmetry between human and artificial agents in forming attachments while maintaining mathematical rigor and verifiability.