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arXiv 2012.04019math.PRmath.CO
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关于猜测的猜测:带反馈的猜牌策略

Guessing about Guessing: Practical Strategies for Card Guessing with Feedback

Persi Diaconis, Ron Graham, Sam Spiro

摘要:

在简单的纸牌游戏中,一次发一张牌,玩家按顺序猜测每张牌。我们研究的问题,反馈(例如正确/不正确)后,每个猜测。对于具有重复值的牌组(如在21点中,花色不重要),最优策略不同于“贪婪策略”(每轮猜测最有可能的牌)。此外,最优策略和贪婪策略对于人类玩家的实时使用来说都太复杂了。我们的主要研究结果表明,简单的竞争力接近最佳。

英文摘要:

In simple card games, cards are dealt one at a time and the player guesses each card sequentially. We study problems where feedback (e.g. correct/incorrect) is given after each guess. For decks with repeated values (as in blackjack where suits do not matter) the optimal strategy differs from the "greedy strategy" (of guessing a most likely card each round). Further, both optimal and greedy strategies are far too complicated for real time use by human players. Our main results show that simple heuristics perform close to optimal.

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。

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