This study explores the application and comparative analysis of adaptive strategies in multi-armed bandit algorithms, specifically focusing on the -greedy algorithm, the Upper Confidence Bound (UCB) algorithm, and the Thompson sampling algorithm. By designing and implementing a series of experiments, the research identifies Thompson sampling as the most effective method, despite its greater reward fluctuation, highlighting its superior adaptability in uncertain environments. The comparative analysis reveals that each algorithm possesses distinct advantages and drawbacks, necessitating a strategic selection based on the specific context of the application. This paper emphasizes the importance of adaptive strategies in optimizing decision-making processes in stochastic settings and underscores the need for further exploration into more sophisticated and optimized adaptive strategies to enhance algorithmic performance and efficiency. Through a meticulous examination of these algorithms, the research contributes valuable insights into the dynamic field of machine learning, offering a foundation for future advancements in adaptive strategy optimization.