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a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
我是按照“真相在右下”的规则闭着眼睛选的,本身不是很理解这题。何老师在视频里举的例子是prisoners' dilemma,所以很好理解。但套用在这题中,希望助教可以帮我理理愚笨的思路。。。
题目表格中左上(300,500)和右下(500,300)总值是一样的,为什么选C?另外,总值最大的是(550,600),为什么不选?
谢谢啦!