This strategic research brief examines the evolving role of artificial intelligence as a structural factor shaping geopolitical competition, economic strategy and international security dynamics between 2026 and 2035. The publication introduces the concept of algorithmic power through a multidisciplinary analytical framework integrating technological innovation, strategic autonomy, economic leverage and narrative influence. Drawing on open-source analysis and scenario-based assessment, the report explores how emerging AI-driven systems redefine the balance between hard power, economic resilience and regional strategic architectures. Intended for researchers, policymakers and strategic analysts, this independent research brief contributes to ongoing discussions on multipolar geopolitics, defence innovation and the future of algorithmic decision-making within complex global environments.