德州扑克中的数学

Hacker News 上怎么说

• LewisVerstappen · 2022 年

  ……只要你一下大注就弃牌的策略就会变得无利可图。德扑的精髓就在于摸清所有这些门道，然后利用这些工具去赚最多的钱。Bill Chen 写过一本很棒的书叫《The Mathematics of Poker》，把里面涉及的数学全讲透了。归根结底全是概率论和博弈论。他在 MIT 做过一个讲座，梳理了其中一些基本概念 -> https://youtu.be/BuxCNZ0RVKA 显而易见的问题是……

  …tactic of folding whenever you bet big becomes unprofitable. Poker is about figuring out all of these things and then using these tools to make the most money. Bill Chen wrote a great book called "The Mathematics of Poker" that goes through all the math involved. It's all probability theory and game theory. He gave a talk at MIT that goes over some of the basic concepts -> https://youtu.be/BuxCNZ0RVKA The obvious issue…

• DennisP · 2012 年

  ……针对特定玩家的弱点。阿尔伯塔大学那帮人也在做这方面的研究。剥削性打法（exploitative play）能提高你的利润，但也会让你自身露出更多破绽。想全面了解这方面的知识，Ankenman 和 Chen 写的《Mathematics of Poker》是个很好的切入点。不过我也赞同现在的 HFT 竞争极其惨烈。如果非要二选一，我宁愿去打德扑。

  …particular player's weaknesses. The Alberta guys are doing work on that part too. Exploitative play can improve your profit but also makes you more vulnerable. For a good overview of this stuff, the book Mathematics of Poker by Ankenman and Chen is a good place to start. I agree though that HFT is awfully competitive these days. If I had to choose between the two I'd play poker.

• llamataboot · 2016 年

  ……当然会随着人们打法风格的演变而改变，但基本功就在那里。如果你有数学头脑，或者只是想快速领略一下博弈论和博彩理论，我强烈推荐 Chen 和 Ankenman 写的《The Mathematics of Poker》——不过啃起来相当费劲 https://www.amazon.com/Mathematics-Poker-Bill-Chen/dp/188607... 我还听说 Matthew Janda 写的《Applications of No-Limit Holdem》也很不错……

  …course change as people change styles, but the basics are there. If you are mathematically minded or just interested in a whirlwind tour through game theory and gambling theory, I highly recommend The Mathematics of Poker by Chen and Ankenman -- but it's a pretty heavy lift https://www.amazon.com/Mathematics-Poker-Bill-Chen/dp/188607... I've also heard good things about Applications of No-Limit Holdem by Matthew Janda…

• tom_b · 2009 年

  你读过 Bill Chen 和 Jerrod Ankenman 写的《The Mathematics of Poker》吗？这本书用博弈论对德扑做了一些非常漂亮的分析，还得出了挺让人意外的结论。我一直在琢磨，要是某个厉害的黑客型人才拿到这些东西能搞出什么……

  Have you checked out "The Mathematics of Poker" by Bill Chen and Jerrod Ankenman? This books does some neat game theory based analysis of poker and comes up with some surprising results. I've pondered what some sharp hacker type might do given that…

• obstacle1 · 2013 年

  ……80年代、50年代、20年代等等一直如此。现代策略内容里绝大多数不过是在复述或应用两本经典著作的东西：前面提到的《Theory of Poker》，以及 Chen 的《Mathematics of Poker》。就连大多数收着三位数咨询费的教练也承认这点。纯粹是因为大多数人不想下苦功夫去做那些枯燥的分析，所以教练们才有饭吃。

  …80s, and the 50s, and 20s, and so on. The vast majority of modern strategy content is a restatement or application of the content from two canonical texts: the aforementioned Theory of Poker, and Chen's Mathematics of Poker. Even most coaches who charge the three-figure fees admit this. It's just that most people don't want to put in the gritty analysis work, hence the coaches stay in business.

• merlincorey · 2015 年

  如果你在 2015 年玩 NLHE 还只看直接底池赔率（direct pot odds），那你漏掉的东西可太多了。我挺喜欢 Chen 写的《The Mathematics of Poker》这本书。

  If you're only taking into account direct pot odds for NLHE in 2015, you're missing out on a lot. I like the book "The Mathematics of Poker" by Chen.

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