This literature review addresses a critical research gap by developing the Blue Economy Agentic AI Framework (BEAIF), the first comprehensive theoretical framework integrating agentic artificial intelligence with sustainable marine governance. Through systematic analysis of peer-reviewed literature, this study synthesizes four established theories—Technology Acceptance Model, Theory of Planned Behavior, Stakeholder Theory, and Actor-Network Theory—to understand how autonomous AI systems transform blue economy contexts. The BEAIF framework identifies four key transformation dimensions: consumer behavior transformation through AI-mediated decision delegation, market structure evolution toward autonomous commerce, stakeholder network reconfiguration incorporating AI agents as legitimate participants, and sustainability intelligence integration enabling triple bottom line optimization. Findings reveal that trust emerges as a critical mediating factor, while agentic AI systems fundamentally reconceptualize agency to include non-human actors in marine governance networks. This research provides theoretical foundations for empirical validation and practical guidance for implementing AI-driven sustainable ocean management strategies.