Adapt to Win: A Statistical Analysis on Strategies in Rock-Paper-Scissors
Publication Date : Dec-19-2024
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Abstract :
Game theory provides a robust framework for analyzing strategic decision-making, and Rock-Paper-Scissors (RPS), despite its simplicity, serves as an effective model due to its balanced structure and broad applicability. This study evaluates the performance of nine RPS strategies—ranging from random and fixed patterns to adaptive techniques—through pairwise matchups simulated over multiple rounds. Statistical tools, including Moving Average, Cumulative Sum (CUSUM) Control Chart, and Decay-Weighted Metrics, assess each strategy's stability and adaptability in individual match pairs and overall outcomes. Results show that adaptive strategies focusing on recent history, such as multi-round observation and certain reaction-based techniques, excel in long-term performance by precisely adapting to opponents' behavioral shifts while avoiding overreactions to minor variations. These findings highlight the critical importance of adaptability in optimizing decision-making in competitive environments.