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西红柿面 · 2023年06月10日

为什么不是选择两个都cheat的情况?

NO.PZ2016010802000070

问题如下:

SigmaSoft and ThetaTech are the dominant makers of computer system software. The market has two components: a large mass-market component in which demand is price sensitive, and a smaller performance-oriented component in which demand is much less price sensitive. SigmaSoft’s product is considered to be technically superior. Each company can choose one of two strategies:

Open architecture (Open): Mass market focus allowing other software venders to develop products for its platform.

Proprietary (Prop): Allow only its own software applications to run on its platform.

Depending upon the strategy each company selects, their profits would be:

The Nash equilibrium for these companies is:

选项:

A.

proprietary for SigmaSoft and proprietary for ThetaTech.

B.

open architecture for SigmaSoft and proprietary for ThetaTech.

C.

proprietary for SigmaSoft and open architecture for ThetaTech.

解释:

C is correct.

In the Nash model, each company considers the other’s reaction in selecting its strategy. In equilibrium, neither company has an incentive to change its strategy. ThetaTech is better off with open architecture regardless of what SigmaSoft decides. Given this choice, SigmaSoft is better off with a proprietary platform. Neither company will change its decision unilaterally.

考点:纳什均衡。

如果 SigmaSoft 选择 Open 策略,,那么 ThetaTech选择 Open 策略可以获得更多的利润(600>300).

如果 SigmaSoft 选择 Prop 策略,那么 ThetaTech 选择Open策略可以获得更多的利润(700>400).

所以对于 ThetaTech 而言,它会选择 Open 策略。

那么现在已确定 ThetaTech 会选择 Open 策略,那么 SigmaSoft 选择Prop策略可以获得更多的利润(650>400).

为何不直接选两个都cheat也就是都是prop的情况呢?不是说Confess/confess就是Nash equilibrium吗?

1 个答案
已采纳答案

笛子_品职助教 · 2023年06月12日

嗨,努力学习的PZer你好:


纳什均衡不一定都是cheat,具体是什么结论,这里需要看表格的数据来做。


首先我们先假定SigmaSoft-Open,也就是说先只看第一列。在S-Open的情况下来寻找ThetaTech利润的最大化。(此时忽略S后的数字,只看T后的数字)。第一列下T数字最大的是600。锁定第一个大方框。


其次假定S-Prop。也就是说看第二列。第二列下只看T后的数字,最大为700。锁定第二个大方框。


第三部就是比较第一个方框和第二个方框。假定T-open,找出S后面的最大值,即650.为第二个方框。因此最终确定是SigmaSoft-Prop,ThetaTech-open。



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努力的时光都是限量版,加油!

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NO.PZ2016010802000070 问题如下 SigmaSoft anThetaTeare the minant makers of computer system software. The market htwo components: a large mass-market component in whimanis prisensitive, ana smaller performance-orientecomponent in whimanis muless prisensitive. SigmaSoft’s prois consireto technically superior. Eacompany cchoose one of two strategies:• Open architecture (Open): Mass market focus allowing other software venrs to velop procts for its platform.• Proprietary (Prop): Allow only its own software applications to run on its platform.penng upon the strategy eacompany selects, their profits woulbe:The Nash equilibrium for these companies is: A.proprietary for SigmaSoft anproprietary for ThetaTech. B.open architecture for SigmaSoft anproprietary for ThetaTech. C.proprietary for SigmaSoft anopen architecture for ThetaTech. is correct.In the Nash mol, eacompany consirs the other’s reaction in selecting its strategy. In equilibrium, neither company hincentive to change its strategy. ThetaTeis better off with open architecture regaress of whSigmaSoft cis. Given this choice, SigmaSoft is better off with a proprietary platform. Neither company will change its cision unilaterally.考点纳什均衡。如果 SigmaSoft 选择 Open 策略,,那么 ThetaTech选择 Open 策略可以获得更多的利润(600 300).如果 SigmaSoft 选择 Prop 策略,那么 ThetaTe选择Open策略可以获得更多的利润(700 400).所以对于 ThetaTe而言,它会选择 Open 策略。那么现在已确定 ThetaTe会选择 Open 策略,那么 SigmaSoft 选择Prop策略可以获得更多的利润(650 400). RT

2022-12-21 19:53 1 · 回答

请问是不是画成这个图

2020-09-08 15:37 1 · 回答

这个题为什么只用考虑S open/prop,然后就比较表格上方的左右两列。不用继续讨论T open/prop嘛?

2019-04-22 12:21 1 · 回答

请问这道题的情况是不是弱纳什均衡?

2019-02-05 11:05 1 · 回答