{"id":23764,"date":"2009-07-04T06:08:00","date_gmt":"2009-07-04T06:08:00","guid":{"rendered":"https:\/\/www.pokerstrategy.com\/zh\/glossary\/_383"},"modified":"2026-07-16T04:00:28","modified_gmt":"2026-07-16T04:00:28","slug":"ezeasc%c2%90%e2%80%a0","status":"publish","type":"glossary","link":"https:\/\/www.pokerstrategy.com\/zh\/glossary\/_384\/","title":{"rendered":"\u83ab\u987f\u5b9a\u7406"},"content":{"rendered":"

定义
\n<\/h2>

\n它是用Andy Morton的名字命名的定理，它说明不管对手是否作出正确的决定，一个玩家在多人底池中的期望收益都增加。Sklansky的扑克基本原理说的与之相反，即对手的错误提高一个玩家的期望收益。 \n<\/p>

解释
\n<\/h2>

\n例如，如果一个玩家用当前最好的牌对付多个拿听牌的对手，那么他在一个对手正确地弃牌时比这个对手错误地跟注时有更高的期望收益。对手的听牌之间互相阻挠。<\/p>

例子 (有限注德州扑克):<\/b>\n<\/p>\n\n\n\n
玩家A<\/span><\/td>\n玩家B<\/span><\/td>\n玩家C<\/span><\/td>\n牌面<\/a><\/span><\/td>\n<\/tr>\n
<\/span><\/td>\n<\/span><\/td>\n<\/span><\/td>\n<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>

每个玩家在转牌圈获胜的机率是:<\/p>\n\n\n\n
 A<\/span><\/td>\nB<\/span><\/td>\n C<\/span><\/td>\n<\/tr>\n
69.05%<\/span><\/td>\n21.43%<\/span><\/td>\n9.52%<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>

<\/p>

\n我们假设玩家都知道对手的牌，因此，他们总知道正确的打法。\n<\/p>

底池在转牌圈有x大注。玩家A下注，B跟注。C的决定取决于底池p有多大。<\/p>

\n
\n
\nEV(弃牌<\/a>) = 0 BB
\nEV(跟注<\/a>) = 9.52% * p + 90.48%*(-1 BB)
\nEV(弃牌<\/a>) = EV(跟注<\/a>)\n

0 BB= 9.52% * p - 0,91 BB
\np = 0.91 BB \/ 9.52%
\np = 9.56 BB<\/p>\n<\/div>\n<\/div>

\n玩家C在底池大于9.6 BB时可以正确地跟注。由于两个对手在转牌圈下的赌注必须扣除，底池的最初大小必须有x = p - 2 = 7.6 BB。\n<\/p>

\n现在，我们必须考察玩家A希望C怎么做。如果C弃牌，那么A将有79.55%的机会获胜，否则他有69.05%的机会获胜。问题是那种情况对A更有利。<\/p>

EV(C 弃牌<\/a>) = 79.55% * (x + 1 BB) + 20.45% * (-1 BB)
\nEV(C 跟注<\/a>) = 69.05% * (x + 2 BB) + 30.95%*(-1 BB)
\nEV(C 弃牌<\/a>) = EV(C 跟注<\/a>)\n<\/p>

\n
\n79.55% * (x + 1 BB) + 20.45% * (-1 BB) = 69.05% * (x + 2 BB) + 30.95%*(-1 BB)
\n(79.55% - 69.05%) * x = 0.48 BB
\nx = 0.48 BB \/ 10.5%
\nx = 4.58 BB\n<\/div>\n<\/div>

\n只要底池最初的大小x比4.6 BB多，玩家A在C正确地弃牌时将更有利。C只能在x大于7.6 BB时才能正确地跟注。如果x少于4.6 BB，A在C继续游戏时将最有利。但在4.6-7.6之间, A的EV在C作出正确决定时被最大化。<\/b><\/p>

\n相关主题:
\n
\n扑克的基本原理（Fundamental Theorem of Poker）,期望收益（Expected Value）<\/p>\n","protected":false},"excerpt":{"rendered":"

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