来自《耶鲁大学开放课程：博弈论 第9集 第9集》

• 
  
  So let me do the algebra.
  我们来解这个方程
• 
  
  I claim this expression is equal to that expression,
  我说这两个表达式是相等的
• 
  
  so simplifying a bit I'm going to get,
  化简之后就可以得到
• 
  
  you should just watch to make sure I don't get this wrong,
  你们仔细看 以防我写错了
• 
  
  I'm going to get 40Q, so this implies 40Q is equal to 60(1-Q).
  化简整理后得 40Q=60(1-Q)
• 
  
  So I took this 50 onto this side and this 20 onto that side,
  我把50右移再把20左移
• 
  
  so I have 40Q is equal to 60(1-Q)
  我就能得到40Q=60(1-Q)
• 
  
  and that implies that Q is equal to .6.
  解完之后可得Q=0.6
• 
  
  So those last two steps were just algebra.
  最后两步只用到了代数知识
• 
  
  So what was the trick here?
  这里的捷径是是什么
• 
  
  The trick was I found Q,
  我找到Q的捷径是
• 
  
  which is how Serena is mixing by looking at Venus' payoffs,
  通过维纳斯的收益求出塞丽娜的混合策略