Markov Chains and Random Dynamics in Games: From Ball Drops to Snake Arena 2
Markov chains provide a powerful mathematical framework for modeling systems where outcomes depend only on the current state, not the full history—a principle deeply embedded in the logic of interactive games. At their core, Markov chains define transitions between states with probabilities that capture randomness while preserving memorylessness. This memoryless property resonates in seemingly chaotic…
