风险或安全博弈中的最优策略
Optimal strategy in the game Risk or Safety
AI总结：
本文研究了
摘要：
本文证明了两人轮流进行的随机博弈
英文摘要：
In the paper it is proven that the two-players turn-based stochastic game "Risk or Safety" has a unique solution. Both players need to play the same strategy if they want to maximize their winning chances. An analytical method based on the transition equations depending on the players decisions at each game situation is presented. However, the method requires the solution of many large linear equation systems, which makes the problem practically unsolvable for more than 6 coins. Hence, an iterative method is used to determine the optimal strategy for up to 20 coins. A look-up table gives the number of coins a player should toss at each possible game situation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
