NO.PZ2018062003000070
问题如下：
TmorGold and MerweMerry are two dominant companies in the cosmetics market, TmorGold’s products are of relatively higher quality. There are two strategies for them to choose:
strategy a.Invite famous designers to improve the image of the products.
strategy b.Use best material to improve user experience.
By adopting different strategies, their profits is showing in the following table (the former number in the brackets is TmorGold’s profit, and the later number is MerweMerry’s profit):
The Nash equilibrium in this situation is:
选项：
A.strategy a for TmorGold and a for MerweMerry.
B.strategy a for MerweMerry and b for TmorGold.
C.strategy a for TmorGold and b for MerweMerry.
解释：
C is correct
If TmorGold chooses strategy a, MerweMerry can achieve maximized profit by choosing b(600>500).
If TmorGold chooses strategy b, MerweMerry can achieve maximized profit by choosing b(300>200).
So MM will always choose strategy b.
If MerweMerry chooses strategy a, TmorGold can achieve maximized profit by choosing a(300>200).
If MerweMerry chooses strategy b, TmorGold can achieve maximized profit by choosing a(550>500).
So TmorGold will always choose strategy a.
Strategy a for TmorGold and strategy b for MerweMerry wihch accords with the Nash equilibrium. at that time, no one tends to change its strategy.
考点：纳什均衡。
如果TmorGold 选择策略a，那么 MerweMerry选择策略b可以获得更多的利润(600>500).
如果TmorGold 选择策略b， 那么MerweMerry选择策略b可以获得更多的利润(300>200).
所以对于 MerweMerry而言，它会选择策略b
如果 MerweMerry选择策略a，那么TmorGold选择策略a可以获得更多的利润(300>200).
如果 MerweMerry选择策略b，那么TmorGold选择策略a可以获得更多的利润(550>500).
所以对于TmorGold而言，它会选择策略a
感觉这种表格题目一般两条线的都是最大值得那一格，是不是只要碰到纳什均衡题目都直接这样选就行
