The Bellman Equation

The Bellman Equation is a way to find the best strategy in situations involving decisions over time, like chess or navigation. It breaks down complex choices into smaller steps, asking: "What is the best outcome I can expect from this point onward, if I make the optimal decision now?" By considering the immediate reward and future rewards, it helps identify the optimal action at each stage to maximize overall success. Essentially, it provides a mathematical roadmap for choosing actions that lead to the most favorable long-term results.