This essay explores the application of game theory in chess, focusing on the relationship between time pressure, risk, and draw probability. Game theory provides a framework for analyzing interactive decision-making processes, enabling players to understand opponents' strategies, predict moves, and formulate optimal responses. The study utilizes a dataset of 20,058 chess games to examine the impact of duration on risk behavior. The analysis reveals a nonlinear relationship between game length and draw probability, with a parabolic trend suggesting that the likelihood of a draw increases with game length up to approximately 60-70 minutes, where it peaks at around 4%-5%, and then gradually decreases for longer games. The regression model shows time pressure leads to about 10% more risk-taking, indicating a moderate fit. These findings underscore the importance of time management and risk assessment in chess, with implications for enhancing players' competitive edge and strategic planning skills in both chess and real-world decision-making scenarios
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