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?