The integration of artificial intelligence (AI) and algorithmic decision-making into international relations represents a significant evolution that current theoretical frameworks have not fully accommodated. Established International Relations (IR) paradigms—realism, liberalism, and constructivism—typically conceptualize technology as a tool for statecraft rather than as an influential factor actively shaping the decision-making environment. This paper asserts that such a conceptual omission is increasingly untenable. Utilizing an integrative analysis spanning IR theory, AI ethics, security studies, and political economy, this work examines three principal aspects of "algorithmic diplomacy": (1) the ways in which algorithmic bias within systems operated by international organizations perpetuates structural inequalities between North and South; (2) the impact of AI incorporation into nuclear command and control systems on the logic of Mutually Assured Destruction (MAD) and crisis management timelines; and (3) the emergence of computational power imbalances in trade and climate negotiations as a novel form of diplomatic influence. The conclusion presents an initial framework for machine-mediated international relations and emphasizes the necessity for normative and governance responses at both national and multilateral levels.