Bellman Optimality Principle

The Bellman Optimality Principle states that the best way to make decisions in a sequential process is to choose actions that lead to the highest possible total reward, considering both immediate gains and future outcomes. It breaks down the overall problem into smaller sub-problems, ensuring each decision accounts for the best choices ahead. Essentially, it emphasizes that an optimal strategy is built by always selecting the action that maximizes long-term benefits, assuming optimal decisions are made at every future step. This principle helps in finding the most effective plan in complex decision-making scenarios.