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Decision theory acts as the essential mathematical architecture that enables artificial intelligence systems to make optimal choices under conditions of uncertainty. By integrating probability theory to measure uncertainty with utility theory to evaluate preferences, it allows AI agents to systematically assess risks and select actions that maximize expected utility. This classical approach is widely implemented in AI through frameworks like Markov Decision Processes, which guide sequential planning and allow systems to compute optimal strategies over time. However, traditional decision theory faces significant hurdles in real-world AI applications, as it often assumes unbounded computational power and relies on the law of large numbers, making it difficult to apply to highly complex or uniquely high-stakes scenarios. To address these computational and practical constraints, modern AI research is expanding the field through bounded rationality models that balance expected utility against information-processing costs, alongside innovative frameworks like qualitative, hybrid human-AI, and causal decision theories aimed at producing more robust and adaptable reasoning. For a fuller discussion of Game Theory, watch the following video: • Theory of Games and Economic Behavior For a fuller discussion of Markovian Stochastic Processes watch the following video: • Markovian Stochastic Processes