现代观点中说到一个序贯博弈的例子,是有关老年人储蓄和年轻人赡养的博弈问题。收益矩阵如下:
书上说:“It is not hard to see that there are two Nash equilibria in this game. If
the old folks choose to save, then the young folks will choose optimally to
neglect them. But if the old folks choose to squander, then it is optimal
for the younger generation to support them. And of course, given that the
younger generation will support their elders, it is optimal for their elders
to squander!”
我就看出一个纳什均衡(save,refrain)——(1,0);但(squander,support)——(2,-1)怎么会是纳什均衡呢?有点糊涂
但如果把老人收益3和2的位置对调下,那(squander,support)——(3,-1)就是一个纳什均衡
是不是书上搞错了,还是我哪里没搞明白!
明白的朋友来说说!
附加说明:(3,-1),其中3是老人收益,-1是年轻人收益